HMH Go Math

Go Math Grade 2 Chapter 7 Answer Key Pdf: Students who are in search of Elementary School Go Math Grade 2 Chapter 7 Concepts can get them here. All the Solutions in HMH Go Math Grade 2 Answer Key Ch 7 Money and Time are created by subject experts as per the Common Core State Standards. Download the Second Grade Go Math Chapter 7 Money and Time Answer Key PDF for free and prepare offline too. Solve the Problems in Go Math Grade 2 Ch 7 Solution Key on a frequent basis and attempt the exam with confidence.

Money and Time Go Math Grade 2 Chapter 7 Answer Key Pdf

Go Math Grade 2 Ch 7 Money and Time Answer Key is designed to build knowledge when they are not in class. Our experts have developed a comprehensive suite of Go Math Resources in a simple and easy-to-understand language. We believe in building deep, lasting understanding rather than simply mugging up the concepts, and that every child has unlimited potential and is capable of greatness. Just tap on the quick links available to access the Topicwise HMH Go Math Grade 2 Ch 7 Answer Key.

Money and Time Concepts

• Money and Time Show What You Know – Page 464
• Money and Time Vocabulary Builder – Page 465
• Money and Time Game 5 and 10 Count – Page 466
• Money and Time Vocabulary Cards
• Money and Time Vocabulary Game – Page(466A-466D)

Lesson: 1 Dimes, Nickels, and Pennies

• Lesson 7.1 Dimes, Nickels, and Pennies – Page(466-472)
• Dimes, Nickels, and Pennies Homework & Practice 7.1 – Page(471-472)

Lesson: 2 Quarters

• Lesson 7.2 Quarters – Page(473-478)
• Quarters Homework & Practice 7.2 – Page(477-478)

Lesson: 3 Count Collections

• Lesson 7.3 Count Collections – Page(479-484)
• Count Collections Homework & Practice 7.3 – Page(483-484)

Lesson: 4 Show Amounts in Two Ways

• Lesson 7.4 Show Amounts in Two Ways – Page(485-490)
• Show Amounts in Two Ways Homework & Practice 7.4 – Page(489-490)

Lesson: 5 One Dollar

• Lesson 7.5 One Dollar – Page(491-496)
• One Dollar Homework & Practice 7.5 – Page(495-496)

Mid-Chapter Checkpoint

• Money and Time Mid-Chapter Checkpoint – Page 494

Lesson: 6 Amounts Greater Than $1

• Lesson 7.6 Amounts Greater Than $1 – Page(497-502)
• Amounts Greater Than $1 Homework & Practice 7.6 – Page(501-502)

Lesson 7.7 Problem Solving • Money

• Lesson 7.7 Problem Solving • Money – Page(503-508)
• Problem Solving • Money Homework & Practice 7.7 – Page(507-508)

Lesson: 8 Time to the Hour and Half Hour

• Lesson 7.8 Time to the Hour and Half Hour – Page(509-514)
• Time to the Hour and Half Hour Homework & Practice 7.8 – Page(513-514)

Lesson: 9 Time to 5 Minutes

• Lesson 7.9 Time to 5 Minutes – Page(515-520)
• Time to 5 Minutes Homework & Practice 7.9 – Page(519-520)

Lesson: 10 Practice Telling Time

• Lesson 7.10 Practice Telling Time – Page(521-526)
• Practice Telling Time Homework & Practice 7.10 – Page(525-526)

Lesson: 11 A.M. and P.M.

• Lesson 7.11 A.M. and P.M. – Page(527-532)
• A.M. and P.M. Homework & Practice 7.11 – Page(531-532)
• Money and Time Review/Test – Page(533-536)

Money and Time Show What You Know

Order Numbers to 100 on a Number Line
Write the number that is just before, between, or just after.
Question 1.

Answer:

57

Question 2.

Answer:

25

Skip Count by Fives and Tens
Question 3.
Count by fives. Write how many in all.

_________ _____ paints in all
Answer:
5,10,15,20,25
5+5+5+5+5= 25
So, there are 25 paints in all

Question 4.
Count by tens. Write how many in all.

________ ____ paints in all
Answer:
10, 20, 30, 40, 50
10+10+10+10+10=50
So, there are 50 paints in all

Time to the Hour
Write the time shown on the clock.
Question 5.

Answer: 11’o clock

Explanation:
The hours hand is on 11 and the minutes hand is on  12.
So, the time is 11:00

Question 6.

Answer: 5’o clock

Explanation :
The hours hand is on the 5 and the minutes hand is on 12.
So, the time is 5:00

Money and Time Vocabulary Builder

Visualize It
Fill in the graphic organizer.
Show ways to count on.

Answer:

Understand Vocabulary
Write the missing numbers in each counting pattern.
Question 1.
Count by ones. 40, ____, ____, ____, 44, ___, 46, ____
Answer:
40, 41, 42, 43, 44, 45, 46, 47

Question 2.
Count by fives. 10, 15, ___, ___, ___, 35, ___, ____
Answer:
10, 15, 20, 25, 30, 35, 40, 45.

Question 3.
Count by tens. 20, ___, ___, 50, ___, ____, 80, ___
Answer:
20, 30, 40, 50, 60, 70, 80, 90.

Money and Time Game 5 and 10 Count

Materials

Play with a partner.

1. Spin the pointer on for your starting number. Put your cube on that number.
2. Spin the pointer. Count on by that number two times.
3. Take turns. The first player to get to 100 wins. Play again.
   

Money and Time Vocabulary Cards

Money and Time Vocabulary Game

DIRECTIONS 2 to 4 players. Take turns to play.

• To take a turn, toss the numbered cube. Move that many spaces
• Follow the directions for the space you land.
• First player to reach FINISH wins.

MATERIALS 1 connecting cube per player

• 1 number cube
• 1 set of clue cards
  
  

The Write Way
Reflect
Choose one idea. Write about it in the space below.

• Write and draw to explain the following amount as if you were talking to a young child. Use another sheet of paper for your drawing.
  $1.36
• What time is it now? Use at least three of these terms in your answer.
  A.M. midnight minute noon P.M. quarter past
  Write at least three things you know about money.
  _________________________
  _________________________

Lesson 7.1 Dimes, Nickels, and Pennies

Essential Question How do you find the total value of a group of dimes, nickels, and pennies?

Listen and Draw

Sort the coins. Then draw the coins.

Answer:

– Dime = 10 cents

– Nickle = 5 cents

– penny = 1 cent

MATHEMATICAL PRACTICES

A nickel has the same value as how many pennies? Explain.
Answer:5
1 nickel = 5 cents
1 penny = 1 cents
Which means
1+1+1+1+1 = 5
5 cents = 5 pennies
So, A nickel has the same value a 5 pennies.

Share and Show

Count on to find the total value.
Question 1.

Answer: 26¢

Explanation:
1 nickel = 5 cents
Which means, 4 nickels = 5+5+5+5= 20 cents
5 cents and 1 cent
Total value of coins = 20+5+1=26 ¢

Chapter 7 Answer Key Go Math 2nd Grade Question 2.

Answer:35¢

Explanation:
1 dime = 10 cents
Which means , 2 dimes = 20 cents
1 nickel = 5 cents
Which means, 2 nickels = 10cents
and 5 cents
Therefore, Total value of coins = 20+10+5=35¢

On Your Own

Count on to find the total value.
Question 3.

Answer:60¢

Explanation:
1 dime = 10 cents
Which means , 6 dimes = 10+10+10+10+10+10=60¢
Therefore, the total value is 60¢.

Question 4.

Answer: 30¢

Explanation:
1 nickel = 5 cents
Which means 5 nickels = 5+5+5+5+5= 25¢
and 5 cents
Total = 25¢+5¢
Therefore, the total value is 30¢

Question 5.

Answer:45¢

Explanation:
1dime = 10 cents
This means, 3 dimes = 30 cents
1 nickels = 5 cents
Which means, 2 nickels = 10 cents
and 5 cents
Total : 30+10+5 = 45
Therefore, the total value = 45¢

Question 6.

Answer: 18¢

Explanation:
1 nickel = 5 cents
Which means , 2 nickels = 10cents
3 pennies = 3 cents and 5 cents
Total : 10+3+5 = 18
Therefore, the total value is 18¢

Question 7.
THINK SMARTER
Maggie had 5 nickels. She gave 2 nickels to her sister. What is the total value of the nickels that Maggie has now?

Answer: 3 nickels

Explanation:
Given , Maggie had 5 nickels
The number of nickels she gave to her sister =2
Leftover nickel coins = 5-2 = 3
1 nickel = 5 cents
Which means , 3 nickels = 5+5+5= 15
The total value of the nickels that Maggie has now =15¢

Problem Solving • Applications

Solve. Write or draw to explain.
Question 8.
MATHEMATICAL PRACTICE Analyze
Jackson has 4 pennies and 3 dimes. How much money does Jackson have?
Answer: 34¢

Explanation :
4 pennies = 4 cents
1 dime = 10 cents
Which means , 3 dimes = 30 cents
Total : 4 +30 = 34
The total money Jackson have = 34¢

Question 9.
MATHEMATICAL PRACTICE
Use Models Draw two ways to show 25¢. You can use dimes, nickels, and pennies.
Answer:
25cents can be shown as
2 dimes , 1 nickel
1 dime = 10 cents
Which means , 2 dimes = 10+10= 20
and 1 nickel = 5 cents
Total : 20+5 = 25 ¢

Another way :
25 cents can be shown as 1 dime 2 nickel and 5 pennies
1 dime = 10 cents
1 nickel = 5 cents
Which means , 2 nickels= 5+5= 10
5 pennies = 5 cents
Total value : 10+10+5 = 25

Question 10.
THINK SMARTER
Sue has 40¢. Circle coins to show this amount.

Answer:

TAKE HOME ACTIVITY • Draw pictures of five coins, using dimes, nickels, and pennies. Ask your child to find the total value.

Dimes, Nickels, and Pennies Homework & Practice 7.1

Count on to find the total value.
Question 1.

Answer: 24 cents

Explanation :
1 dime = 10 cents
Which means , 2 dimes = 20 cents
and 4 cents
Total : 20+4 = 24
Therefore, the total value = 24cents

Question 2.

Answer: 13 cents

Explanation :
2 five cents and 3 cents
5+5+3 = 13 cents
Therefore, the total value of coins = 13 cents

Go Math Grade 2 Chapter 7 Answer Key Pdf Question 3.

Answer:28 cents

Explanation:
1 dime = 10 cents
Which means, 2 dimes = 20 cents
1 nickel = 5 cents
and 3 cents
Total : 20+5+3 = 28
Therefore, the total value of coins is 28 cents

Problem Solving
Solve. Write or draw to explain.
Question 4.
Aaron has 5 dimes and 2 nickels. How much money does Aaron have?
________
Answer:60 cents

Explanation :
1 dime = 10 cents
Which means, 5 dimes = 50 cents
1 nickel = 5 cents
Which means , 2 nickels = 10 cents
Total : 50+10 = 60 cents
Therefore, the total value of coins = 60 cents

Question 5.
WRITE
Draw three dimes, 1 nickel, and 2 pennies. Describe how to count on to find the total value of this group of coins.
_____________
Answer:37 cents

Explanation:
1 dime = 10 cents
Which means , 3 dimes = 10+10+10= 30 cents
1 nickel = 5 cents
and 2 pennies = 2 cents
Total value of coins = 30+5+2 = 37 cents

Lesson Check
Question 1.
What is the total value of this group of coins?
______
Answer:21 cents

Explanation :
1 dime = 10 cents
2 five cents = 5+5= 10
and 1 cent
Total value of coins = 10+10+1 = 21 ¢

Spiral Review
Question 2.
Hayden is building toy cars. Each car needs 4 wheels. How many wheels will Hayden use to build 3 toy cars?
______ wheels
Answer:
Total number of toy cars = 3
Given that, each car needs 4 wheels
Now, The number of wheels Hayden use to 3 toy cars =
4+4+4 = 12
Therefore , Hayden will use 12 wheels to build 3 toy cars.

Question 3.
What is the value of the underlined digit?
429 _____
Answer:
Four hundred twenty nine
The underlined digit is 4
The value of 4 is hundred

Question 4.
Lillian is counting by fives. What numbers did she say next?
40, ___, ____, ___, ____
Answer:
40, 45, 50, 55, 60.

Question 5.
Sophie has 12 grapes in her lunch bag. She shared 7 grapes with her sister. How many grapes does she have?
12 – 7 = ______
Answer:
Given , the number of grapes in her lunch bag = 12
The number grapes she shared =7
12 – 7 = 5
Therefore, the number of games she have = 5

Lesson 7.2 Quarters

Essential Question How do you find the total value of a group of coins?

Listen and Draw

Sort the coins. Then draw the coins.

MATHEMATICAL PRACTICES
Describe how the value of a quarter is greater than the value of a dime.
Answer:
1 quarter = 25 cents
1 dime = 10 cents
The value of a quarter is 15 cents greater than the value of a dime

Share and Show

Count on to find the total value.
Question 1.

Answer: 50 cents

Explanation:
1 quarter = 25 cents
This means, 2 quarters = 25+25= 50
Therefore, the total value of coins = 50 ¢

Go Math Second Grade Pdf Chapter 7 Lesson 7.2 Answer Key Question 2.

Answer:86 cents

Explanation:
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75
1 dime = 10 cents and
1 penny = 1 cent
Total : 75+10+1 = 86
Therefore, the total value of the coins = 86 ¢

Question 3.

Answer: 57¢

Explanation:
1 quarter =  25 cents
Which means , 2 quarters = 25 +25 = 50
1 nickel = 5 cents and
2 pennies = 2 cents
Total : 50+5+2 = 57
Therefore, the total value of the coins = 57¢

On Your Own

Count on to find the total value.
Question 4.

Answer: 100 ¢

Explanation:
1 quarter = 25 cents
4 quarters = 25+25+25+25= 100
Therefore, the total value of coins = 100¢

Question 5.

Answer: 65¢

Explanation :
1 quarter = 25 cents
1 dime = 10 cents
Which mean, 4 dimes = 10+10+10+10= 40
Total : 25+40= 65
Therefore, the total value of the coins = 65¢

Question 6.

Answer: 70¢

Explanation :
1 quarter = 25 cents
Which means , 2 quarters = 25+25 = 50
1 nickel = 5 cents
Which means , 4 nickels = 5+5+5+5+ = 20
Total : 50+20= 70
Therefore, the total value of the coins = 70¢

Question 7.

Answer: 38¢

Explanation :
1 quarter = 25 cents
1 nickel = 5 cents
Which means , 2 nickels= 5+5+ = 10
3 pennies = 3 cents
Total : 25+10+3 = 38
Therefore, the value of coins = 38¢

Draw and label a coin to solve.
Question 8.
THINK SMARTER
Ed’s coin has the same value as a group of 5 pennies and 4 nickels. What is his coin?

Answer: Quarter coin

Explanation :
1 penny = 1 cent
Which means , 5 pennies = 5 cents
1 nickel = 5 cents
Which means, 4 nickels = 5+5+5+5= 20
Total : 5 +20
We know that , 1 quarter = 25 cents
Therefore, His coin is a quarter coin .

Problem Solving • Applications

MATHEMATICAL PRACTICE Make Connections
Read the clue. Choose the name of a coin from the box to answer the question.

Question 9.
I have the same value as 5 pennies.
What coin am I?
________
Answer:
5 pennies =5 cents
We know that , 1 nickel = 5 cents
So, I am a nickel coin.

Question 10.
I have the same value as 25 pennies.
What coin am I?
_________
Answer:
1 penny = 1 cent
25 pennies = 2 cents
We know that , 1 quarter = 25 cents
Therefore , I am a quarter coin .

Question 11.
I have the same value as 2 nickels.
What coin am I?
_________
Answer:
1 nickel = 5 cents
Which means 2 nickels = 5+5 = 10
We know that 1 dime = 10 cents
Therefore, I am a dime coin.

Question 12.
I have the same value as a group of 5 nickels.
What coin am I?
_________
Answer: Quarter
1 nickel = 5 cents
Which means, 5 nickels = 5+5+5+5+5 =25 cents
1 quarter = 25 cents
So , I am a quarter coin .

Question 13.
THINK SMARTER
Tom gives these coins to his brother.

Answer: 65 cents

Explanation:
1 quarter = 25 cents
Which means , 2 quarters = 25+25 = 50
3 dimes = 5+5+5= 15
Total: 50+15 = 65 cents
Therefore, tom gives his brother 65 cents

TAKE HOME ACTIVITY • Have your child draw two quarters, two dimes, and two nickels, and then find the total value.

Quarters Homework & Practice 7.2

Count on to find the total value.
Question 1.

Answer:55¢

Explanation:
1 quarter = 25 cents
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
1 nickel = 5 cents
Which means, 2 nickels = 5+5 =10
Total :
25+20+10 = 55
Therefore, the value of coins = 55¢

Question 2.

Answer: 66¢

Explanation :
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 nickel = 5 cents
Which means, 3 nickels = 5+5+5=15
1 penny = 1 cent
Total: 50+15+1=66
Therefore, the total value of coins = 66¢

Problem Solving
Read the clue. Choose the name of a coin from the box to answer the question.

Question 3.
I have the same value as a group of 2 dimes and 1 nickel. What coin am I?
_________
Answer: Quarter

Explanation:
1 dime = 10 cents
Which means , 2 dimes = 20 cents
1 nickel = 5 cents
Total value of coins = 20 +5 = 25 cents
We know that, 1 quarter = 25 cents
So, I am a quarter coin.

Grade 2 Go Math Topic 7 Lesson 7.2 Answer Key Question 4.
WRITE
Draw 1 quarter, 1 dime, and 4 pennies. Describe how to count to find the total value of this group of coins.
Answer: 39 cents

Explanation :

1 quarter = 25 cents
1 dime = 10 cents
4 pennies = 4 cents
Total value of coins = 25+10+4 = 39

Lesson Check
Question 1.
What is the total value of this group of coins?

_________
Answer: 61¢

Explanation:
1 quarter = 25 cents
Which means, 2 quarters = 25+25 =50
1 nickel = 5 cents
Which means, 2 nickels = 5+5= 10
1 penny = 1 cent
Total : 50+10+1
Therefore, the total value of coins = 61¢

Spiral Review
Question 2.
Circle the odd number.
8 14 17 22
Answer:
8 , 14 are the odd numbers

Question 3.
Kai scored 4 points and Gail scored 7 points. How many points did they score altogether?
4 + 7 = ______ points
Answer:
Given,
The points scored by kai = 4
The points scored by Gail = 7
The points that they score altogether = 4+7 = 11 points.

Question 4.
There were 382 chairs in the music hall. Write a number greater than 382.
_______
Answer: 383
383 is greater than 382.

Question 5.
Write the number 61 using words.
________
Answer: sixty one

Lesson 7.3 Count Collections

Essential Question How do you order coins to help find the total value of a group of coins?

Listen and Draw

Line up the coins from greatest value to least value. Then draw the coins in that order.

>>>

Quarter> dime> nickel > penny

MATHEMATICAL PRACTICES
Describe how the values of the different kinds of coins compare.
Answer:
The values of the coins are compared with cents
1 quarter = 25 cents
1 dime = 10 cents
1 nickel= 5 cents and
1 penny = 1 cent

Model and Draw

Order the coins from greatest value to least value.
Then find the total value.

Answer:

1 quarter = 25 cents
Which means, 2 quarters = 25 +25 = 50
1 dime = 10 cents
and 2 pennies = 2 cents
Total: 50 + 10 +2 = 32
Therefore, the total value of coins 62¢

Share and Show

Draw and label the coins from greatest to least value. Find the total value.
Question 1.

_______
Answer:

1 quarter = 25 cents
1 nickel = 5 cents
Which means , 2 nickels = 5+5 = 10
2 pennies = 2 cents
Total : 25 +10+2 = 37
Therefore, the total value of the coins = 37 ¢

Question 2.

_______
Answer:

1 quarter = 25 cents
1 dime = 10 cents
Which means , 2 dimes = 20 cents
1 nickel = 5 cents
and 1 penny = 1 cent
Total : 25+20+5+1 = 51
Therefore ,  the total value of coins = 51¢

Question 3.

_______
Answer:

1quarter = 25 cents
Which means ,2 quarters = 25+25 = 50
1 dime = 10 cents and
1 nickel = 5 cents
Total: 50+10+5 =65
Therefore the total value of coins = 65¢

On Your Own

Draw and label the coins from greatest to least value. Find the total value.
Question 4.

______
Answer:

1 quarter = 25 cents
1 dime = 10 cents
Which means , 3 dimes = 10+10+10= 30
Total :25+30 = 55
Therefore, the total value of coins  55¢

Question 5.

_______
Answer:

1 quarter = 25 cents
Which means ,2 quarters = 25+25 = 50 cents
1 dime = 10 cents
and 2 pennies
Total : 50+10+2 = 62
Therefore, the total value of coins = 62¢

Question 6.

_______
Answer:

1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
Total : 25+10+10 =45 cents
Therefore, the total value of coins =45¢

Question 7.

_______
Answer:

1 quarter = 25 cents
Which means, 2 quarters = 25+25= 50
1 dime = 10 cents
1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
Total : 50+10+10 = 70
Therefore, the total value of the coins = 70¢

Question 8.
GO DEEPER
Andy has only quarters and nickels. The total value of his coins is 75¢. What coins could Andy have?
______ quarters _____ nickels
Answer: 75¢ can be shown by using only quarters and nickels as 2 quarters 5 nickels

Explanation :
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50 cents
1 nickel = 5 cents
Which means, 5 nickels = 5+5+5+5+5= 25
Total: 50+25 = 75 ¢
Therefore, Andy has 2 quarters and 5 nickels.

Problem Solving • Applications

Solve. Write or draw to explain.
Question 9.
THINK SMARTER
Paulo had these coins.

He spent 1 quarter. How much money does he have now?
______
Answer: 21¢

Explanation :
Total value of coins = 46¢
After spending a quarter
1 quarter = 25 cents
1 nickel = 5 cents
Which means, 4 nickels = 5+5+5+5= 20 cents
and 1 penny = 1 cent
46 – 25 = 21¢
Therefore, the leftover money = 21¢

Question 10.
Rachel has 2 quarters, 3 dimes, and 1 nickel in her bank. How much money is in Rachel’s bank?
_______
Answer: 85¢

Explanation:
1 quarter = 25 cents
Which means 2 quarters =25+25 =50
1 dime = 10 cents
Which means, 3 dimes = 10+10+10 = 30
1 nickel = 5 cents
Total : 50+30+5 = 85¢
Therefore, the amount Rachels has in his bank = 85¢

Question 11.
GO DEEPER
Blake has only nickels and dimes. He has double the number of nickels as dimes. The total value of his coins is 60¢. What coins does Blake have?
______ nickels _____ dimes
Answer: 6 nickels and 3 dimes

Explanation :
Given,
Rachel has double the number of nickels and dimes
1 nickel = 5 cents
Which means, 6 nickels = 5+5+5+5+5+5= 30 cents
1 dime = 10 cents
Which means , 3 dimes = 10+10+10 = 30 cents
Total : 30+30= 60¢
Therefore, Rachel has 3 dimes and 6 nickels.

Question 12.
THINK SMARTER
Malik has these coins in his pocket. What is the total value of the coins?

Answer: 50¢

Explanation :
1 dime = 10 cents
Which means, 4 dimes = 10+10+10+10 = 40 cents
1 nickel = 5 cents
Which means , 2 nickels = 5+5 = 10 cents
Total : 40+10 = 50
Therefore, the total value of coins Malik had = 50¢

TAKE HOME ACTIVITY • Have your child draw and label coins with a total value of 32¢.

Count Collections Homework & Practice 7.3

Draw and label the coins from greatest to least value. Find the total value.
Question 1.

________
Answer: 22¢

1 dime = 10 cents
1 nickel = 5 cents Which means, 2 nickels = 5+5 = 10 cents and
2 pennies = 2 cents
Total : 10+10+2 = 22
Therefore, the total value f the coins = 22¢

Question 2.

_________
Answer: 75¢

1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
and 1 nickel = 5 cents
Total : 50+20+5 = 75
Therefore, total value of the coins = 75¢

Problem Solving
Solve. Write or draw to explain.
Question 3.
Rebecca has these coins. She spends 1 quarter. How much money does she have left?

Answer:
Firstly, Rebecca has 2 quarters , 1 dime, 1 nickel and 1 penny
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 dime = 10 cents
1 nickel = 5 cents and
1 penny = 1 cent
Total : 50+10+5+1 = 66¢
Given that,
she spends 1 quarter which means, 25 cents
Now, 66¢ – 25¢ = 41¢
Therefore, the leftover money is 41¢

Go Math Grade 2 Chapter 7 Review/Test Answer Key Question 4.
WRITE
Draw 2 dimes, 1 nickel, and 2 quarters. Describe how to order and then count to find the total value of the coins.
_______
Answer:

Explanation:

We have to order coins on the basis of cent values
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50 cents
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20 cents
and 1 nickel = 5 cents
Total : 50+20+5 = 75¢
Therefore, the total value of the coins = 75¢

Lesson Check
Question 1.
What is the total value of this group of coins?

_______
Answer:

Explanation:

1 quarter = 25 cents
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20 cents
and 2 pennies = 2 cents
Total : 25 + 20 +2 = 47
Therefore, the total value of the coins is 47¢

Spiral Review
Question 2.
What number is 100 more than 562?
_____
Answer: The number 100 more than 562 is 662

Question 3.
Describe 58 as a sum of tens and ones.
______
Answer: 58 can be shown in sum of tens and once as
50 + 8  = 58

Question 4.
Pete helps his grandmother gather pecans. He finds 6 pecans on his left and 3 on his right. How many pecans did Pete find altogether?
6 + 3 = _____ pecans
Answer:
The number of pecans Pete finds on his left side = 6
The number of Pecans Pete finds on his right side = 3
Total number of Pecans Pete find altogether =
6 + 3 = 9
Therefore, total number of pecans = 9

Question 5.
What number do the blocks show?

______
Answer:
The first and second figures have 100 blocks
The 3 single line contains 10+10+10 = 30 blocks
and 4 blocks
Total number of blocks = 100+100+10+10+10+1+1+1+1 = 234
Therefore, Total number of blocks = 234

Lesson 7.4 Show Amounts in Two Ways

Essential Question How do you choose coins to show a money amount in different ways?

Listen and Draw

Show the amount with coins. Draw the coins.
Write the amount.
Answer: 26¢

1 quarter = 25 cents and 1 penny = 1 cent
Total value = 26¢
Another way:
26¢ can also be shown as 2 dimes 1 nickel and 1 penny

1 dime = 10 cents
Which means , 2 dimes = 10+10 = 20
1 nickel = 5 cents
and 1 penny = 1 cent
Total : 20+1 = 26 ¢

MATHEMATICAL PRACTICES
Can you show 10¢ with 3 coins? Explain how you know.
Answer: No, it is not possible to show 10¢ with 3 coins because

Share and Show

Use coins. Show the amount in two ways.
Draw and label the coins.
Question 1.
61¢
Answer:
61 ¢ can be shown as 2 quarters 1 dime and 1 penny
1 quarter = 25 cents
Which means, 2 quarters = 25+25= 50
1  dime = 10 cents
and 1 penny = 1 cent
Total : 50+10+1= 61¢

Another way:
61¢ can also be shown as 6 dimes and 1 penny
1 dime = 10 cents
and 6 dimes = 10+10+10+10+10+10 = 60
and 1 penny = 1 cent
Total : 60+1 = 61¢

Question 2.
36¢
Answer:
36 cents be shown as 3 dimes 1 nickel and 1 penny
1 dime = 10 cents
Which means, 3 dimes = 10+10+10
1 nickel = 5 cents
and 1 penny = 1 cent
Total : 30+5+1 = 36¢

Another way :
36¢ can also be shown as 1 quarter 1 dime and 1 penny
1 quarter = 25 cents
1 dime = 10 cents and 1 penny = 1 cent
Total : 25+10+1 = 36¢

 

On Your Own

Use coins. Show the amount in two ways.
Draw and label the coins.
Question 3.
55¢
Answer:
55 cents can be shown as 2 quarters and 1 nickel
1 quarter = 25 cents
Which means, 25+25 = 50 cents
and 1 nickel = 5 cents
Total : 50+5 = 55 cents

Another way:
55 cents can also be shown as 5 dimes and 1 nickel
1 dime = 10 cents
Which means, 5 dimes = 10+10+10+10+10 = 50
and 1 nickel = 5 cents
Total : 50+5 = 55

Go Math 2nd Grade Chapter 7 Answer Key Question 4.
90¢
Answer:
90 cents can be shown as 3 quarters 1 dime and 1 nickel
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75
1 dime = 10 cents
and 1 nickel = 5 cents
Total : 75+10+5 = 90

Another way:
90 can also be shown as 2 quarters and 4 dimes
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 dime = 10 cents
and 4 dimes = 10+10+10+10 = 40
Total: 50+40 = 90 cents

Question 5.
75¢
Answer:
75¢ can be shown as 3 quarters
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75 cents

Another way :
75 cents can also be shown as 2 quarters 2 dimes and 1 nickel
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50 cents
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
and 1 nickel = 5 cents
Total: 50+20+5 = 75 cents

Question 6.
THINK SMARTER
Teresa has 42¢. She has no dimes. Draw to show what coins she might have.

Answer:
42¢ can be shown as 1 quarter 3 nickels and 2 pennies
1 quarter = 25 cents
1 nickel = 5 cents
Which means , 3 nickels = 15 cents
2 pennies = 2 cents
Total value of coins = 25 +15+ 2 = 42

Problem Solving • Applications

MATHEMATICAL PRACTICE Model with Mathematics
Use coins to solve.
Question 7.
Lee buys a pen for 50¢. Draw coins to show two different ways to pay 50¢.
Answer:
50 cents can be shown as:
2 quarters
1 quarter = 25cents
Which means , 2 quarters = 25 +25 = 50 ¢

Another way :
50 cents can be shown as 5 dimes
1 dime = 10 cents
Which means ,
5 dimes = 10+10+10+10+10 = 50

Question 8.
MATHEMATICAL PRACTICE Make Sense of Problems
Delia used 4 coins to buy a book for 40¢. Draw coins to show two ways to pay 40¢ with 4 coins.
Answer:
40¢ can be shown as 4 dimes
1 dime = 10 cents
Which means ,
4 dimes = 10+10+10+10 = 40

Another way :
40 cents can also be shown in 4 coins as 1 quarter 3 nickel
1 quarter = 25 cents
1 nickel = 5 cents
Which means ,
3 nickels = 15 cents
Total value = 25 +15 = 40 cents

Question 9.
THINK SMARTER
Fill in the bubble next to all the groups of coins with a total value of 30¢.

Answer:
2 nickels and 2 dimes
1 nickel = 5 cents
Which means , 2 nickels = 5+5 = 10cents
1 dime =10 cents
Which means , 2 dimes = 10+10 = 20 cents
Total value = 10 +20 = 30 ¢.

TAKE HOME ACTIVITY • With your child, take turns drawing different collections of coins to show 57¢.

Show Amounts in Two Ways Homework & Practice 7.4

Use coins. Show the amounts in two ways.
Draw and label the coins.
Question 1.
39¢
Answer:
39 cents be shown as 1 quarter 1 dime 4 pennies.
1 quarter = 25 cents
1 dime = 10 cents
4 pennies = 4 cents
Total value = 25+10+4 = 39 cents

 

Another way :
39 cents can be shown as 3 dimes , 1nickel and 4 pennies
1 dime = 10 cents
Which means ,
3 dimes = 10 +10+10= 30
1 nickel = 5 cents
4 pennies = 4 cents
Total value = 30+5+4 = 39 cents

Question 2.
70¢
Answer:
70 cents can be shown as 2 quarters and 2 dimes
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
Total : 50+20= 70 cents

Another way:
70 cents can also be shown as 1 quarter 4 dimes and 1 nickel
1 quarter = 25 cents
1 dime = 10 cents
Which means, 4 dimes = 10+10+10+10 = 40 cents
and 1 nickel = 5 cents
Total : 25 + 40 + 5 = 70 cents

Problem Solving
Question 3.
Madeline uses fewer than 5 coins to pay 60¢. Draw coins to show one way she could pay 60¢.
Answer:
60¢ can be shown in fewer than 5 coins 2 quarters and 1 dime
1 quarter = 25 cents
Which means, 2 quarters = 25+25  50
and 1 dime = 10 cents
Total : 50 + 10 = 60¢

Go Math 2nd Grade Chapter 7 Review Test Question 4.
WRITE
Draw coins in two ways to show 57¢. Describe how to choose the coins for each way.
Answer:
57 ¢ can be shown as 2 quarters 1 nickel and  2 pennies
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 nickel = 5 cents
and 2 pennies = 2 cents
Total : 50+5+2 = 57 ¢

Another way :
57 cents can also be shown as 5 dimes, 1 nickel and 2 pennies
1 dime = 10 cents
Which means, 5 dimes = 10+10+10+10+10 = 50
1 nickel = 5 cents and
2 pennies = 2 cents

Lesson Check
Question 1.
Circle the group of coins that has the same total value.

 

Answer:

Spiral Review
Question 2.
Write the number 31 as a sum of tens and ones.
2 tens ____ ones
Answer:
The number 31 can be shown as a sum of tens and once as
3 tens and 1 once or 30+1 = 31

Question 3.
Write 13 tens as a sum of hundreds and tens.
_____ hundreds ______ tens

Answer: 13 x 10 = 130
can be written as 100+30
1 hundreds and 3 tens

Question 4.
What is the value of the underlined digit?
28 _____
Answer:
The value of the underlined digit is once
The underlined digit in one place is 8

Question 5.
Baylie’s softball team scored 5 runs in the first inning and 6 runs in the second inning. How many runs did her team score?
5 + 6 = ______ runs
Answer:
5+6 = 11
Therefore, the total number of runs her team scored = 11

Lesson 7.5 One Dollar

Essential Question How can you show the value of one dollar with coins?

Listen and Draw

Draw the coins. Write the total value.
________
Answer:
$1 is equal to 100 cents
100¢ can be shown as 3 quarters 2 dimes and 1 nickel

1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75 ¢
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20¢
and 1 nickel = 5 cents
Total : 75+20+5 = 100¢
Therefore, 3 quarters, 2 dimes and 1 nickel have a value of $1.00

MATHEMATICAL PRACTICES
How many pennies have the same value as 80¢? Explain.
Answer: 80

Explanation:
1 penny = 1 cent
So, 80 pennies = 80¢
Therefore, 80 pennies have the same value as 80¢

Share and Show

Draw the coins to show $1.00. Write the total value.
Question 1.
nickels

Answer: 20

Explanation :
$1 = 100 cents
1 nickel = 5 cents
20 nickels = 100 cents

Question 2.
quarters
________
Answer: 4

Explanation :
$1 = 100 cents
1 quarter = 25 cents
Which means ,
4 quarters = 25+25+25+25 = 100

Question 3.
dimes
________
Answer: 10

Explanation:
$1 = 100 cents
1 dime = 10 cents
Which means , 10 dimes = 100 cents

On Your Own

Circle coins to make $1.00.
Cross out the coins you do not use.
Question 4.

Answer:

Question 5.

Answer:

Question 6.
GO DEEPER
Warren shows $1.00 using only two kinds of coins. Draw and label coins he could use.
Answer:
$1 = 100 cents
100 cents can be shown in two kinds of coins as 3 quarters and 5 nickels
1 quarter =25 cents
Which means , 3 quarters = 25+25+25 = 75
1 nickel = 5 cents
Which means ,5 nickels = 5+5+5+5+5= 25
Total value = 75+25 = 100

Question 7.
THINK SMARTER
Sara has these coins.
Draw more coins to show $1.00.

Answer:
The given coins are 1 quarter , 1 dime and 1 nickel
1 quarter = 25 cents
1 dime = 10 cents
and 1 nickel = 5 cents
Total : 25+10+5 = 35
$1 is equals to 100 cents
100 cents – 35 cents = 65 cents
We need 65 cents more to make $1
65 cents can be shown as 2 quarters  1 dime and 1 nickel
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 dime = 10 cents
and 1 nickel = 5 cents
Total : 50+10+5 = 65
Therefore, we need 2 quarters  1 dime and 1 nickel more to make $1

TAKE HOME ACTIVITY • Have your child draw a group of coins to show $1.00.

One Dollar Homework & Practice 7.5

Circle coins to make $1.00.
Cross out the coins you do not use.
Question 1.

Answer:

 

Question 2.

Answer:

Problem Solving
Question 3.
Draw more coins to show $1.00 in all.

Answer:
$ 1 = 100 cents
2 quarters = 25+25= 50 cents
We need 50¢ more to make $1.00
50¢ can be shown as  5 dimes

Go Math Book Grade 2 Chapter 7 Review/Test Answer Key Question 4.
WRITE
Draw coins to show one way to make $1.00 using only nickels and quarters.
Answer:
$1 = 100 cents
$1 can be shown by using only nickels and quarters =3 quarters and 5 nickels
1 quarter is equal to 25 cents
Which means , 3 quarters = 25+25+25+= 75
1 nickel= 5 cents
Which means ,  5 nickels = 5+5+5+5+5= 25
Total value = 75+25= 100

 

Lesson Check
Question 1.
Which group of coins has a value of $1.00?

Answer:
$1 = 100 cents
1 quarter = 25 cents
Which means , 4 quarters = 25+25+25+25= 100 cents

Spiral Review
Question 2.
Write 692 using words.
________
Answer: 692= Six hundred ninety two

Question 3.
Keith ate 7 almonds, then ate 7 more. Is the total number of almonds even or odd?
7 + 7 = ______ almonds
_______
Answer:
7+7 = 14
Therefore , the total number of almonds is even

Question 4.
What is the total value of 1 quarter and 3 nickels?
_________
Answer: 40 cents

Explanation:
1 quarter = 25 cents
1 nickel = 5 cents
Which means , 3 nickels = 5+5+5= 15
Total value = 25+ 15= 40 cents
Therefore, the value of 1 quarter and 3 nickels = 40 cents.

Question 5.
Kristin is counting by tens. What numbers does she say next?
230, _____, _____, ______
Answer:
230, 240, 250, 260.

Money and Time Mid-Chapter Checkpoint

Concepts and Skills

Count on to find the total value.
Question 1.

Answer: 28¢

Explanation:
1 dime= 10 cents
Which means, 2 dimes = 10+10= 20
1 nickel = 5 cents and
3 pennies = 3 cents
Total :20+5+3
Therefore, the total value of the coins = 28¢

Question 2.

Answer: 76¢

Explanation:
1 quarter = 25 cents
Which means , 2 quarters = 25+25= 50
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
1 nickel = 5 cents and
1 penny = 1 cent
Total : 50+20+5+1 = 76
Therefore, the total value of the coins = 76¢

Use coins. Show the amount in two ways.
Draw and label the coins.
Question 3.
31¢
Answer:
31cents can be shown as 1 quarter, 1 nickel and 1 penny
1 quarter = 25 cents
1 nickel = 5 cents and
1 penny =1 cent
Total value = 25+5+1=31

Another way :
31 cents can be shown as 3 dimes , 1 penny
1 dime = 10 cents
Which means, 3 dimes = 10+10+10=30
and 1 penny = 1 cent
Total : 30 =1 = 31 cents

Question 4.
THINK SMARTER
Mary used these coins to buy a folder. What is the total value of these coins?

Answer: 60¢

Explanation:
1 quarter = 25 cents
Which means , 2 quarters = 25+25=50
1 nickel= 5 cents
Which means, 2 nickels= 5+5 = 10
Total : 50+10 =60
Therefore, the total value of the money = 60¢

Lesson 7.6 Amounts Greater Than $1

Essential Question How do you show money amounts greater than one dollar?

Listen and Draw

Draw and label the coins.
Write the total value.
_______
total value
Answer:

MATHEMATICAL PRACTICES
Use Repeated Reasoning
Explain how you found the total value of the coins in the coin bank.
Answer:

Share and Show

Circle the money that makes $1.00. Then
write the total value of the money shown.
Question 1.

__________
Answer:

1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 nickel = 5 cents,
1 penny = 1 cent
and one $1 bill
Total value : $1+50+5+1 = $1.56

Go Math Grade 2 Lesson 7.6 Answer Key Question 2.

________
Answer:

1 quarter = 25 cents
Total value : 4 quarters = 25+25+25+25 = 100
1 dime = 10 cents
Which means, 3 dimes = 10+10+10 = 30
Total : 100+30 = 130
Therefore, total value of money = 130

On Your Own

Circle the money that makes $1.00. Then write the total value of the money shown.
Question 3.

_______
Answer:

The given coins are 4 quarters 1 dime and 1 nickel
1 quarter = 25 cents
Which means, 4 quarters = 25+25+25+25 = 100
1 dime = 10 dime
and 1 nickel = 5 cents
Total : 100+10+5 = $1.15
Therefore, the total value of coins = $1.15

Question 4.

Answer:

$1 bill= 100 cents
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50 cents
1 dime = 10 cents
Which means, 3 dimes = 10+10+10 = 30
1 nickel = 5 cents and
1 penny = 1 cents
Total value : 100+ 50+30+5+1 = $1.86

Question 5.

_______
Answer:

1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75
1 dime = 10 cents
Which means, 3 dimes = 10+10+10 = 30
and 1 nickel = 5 cents
Total : 75 + 30 + 5 = $1.10
Therefore, the total amount of money = $1.10

Go Math 2nd Grade Lesson 7.6 Answer Key Question 6.
THINK SMARTER
Martin used 3 quarters and 7 dimes to pay for a kite. How much money did he use?

_______
Answer:
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75
1 dime = 10 cents
Which means, 7 dimes= 10+10+10+10+10+10+10 = 70
Total value = 75+70 = 145 cent
Therefore, the total value of money = $1.45

Problem Solving • Applications

Question 7.
GO DEEPER
Pam has fewer than 9 coins. The coins have a total value of $1.15. What coins could she have? Draw the coins. Then write a list of her coins.
Answer:

$1.15 can be shown in fewer than 9 coins as
4 quarters , 1 dime and 1 nickel
1 quarter = 25 cents
Which means, 4 quarters = 25+25+25+25 = 100
1 dime = 10 dime
and 1 nickel = 5 cents
Total : 100+10+5 = $1.15
Therefore, the total value of coins = $1.15

Question 8.
THINK SMARTER+
Jason put this money in his bank.

Answer: Jason put a total of $1.35 in his bank

TAKE HOME ACTIVITY • With your child, take turns drawing coins or a $1 bill and coins with a total value of $1.23.

Amounts Greater Than $1 Homework & Practice 7.6

Circle the money that makes $1.00. Then write the total value of the money shown.
Question 1.

_________
Answer:

The total value of the money shown is
1 quarter = 25 cents
1 $1 bill , 1 dime = 10 cents
and 1 nickel = 5 cents
Total value : $1 +25+10+5 = $1.40

Question 2.

__________
Answer:

The total value of money shown :
1 quarter = 25 cents
Which means, 25+25+25 = 75
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
and 1 cent
Total : 75+20+10+1 = 166  cents or $1.16

Problem Solving
Solve. Write or draw to explain.
Question 3.
Grace found 3 quarters, 3 dimes, and 1 nickel in her pocket. How much money did she find?
________
Answer: $1.10

Explanation:
1 quarter= 25 cents
Which means, 3 quarters = 75 cents
1 dime = 10 cents
Which means, 3 dimes = 30 cents
and 1 nickel = 5 cents
Total :75+30+5=110
So the total value of the money = $1.10

Go Math Grade 2 Chapter 7 Answer Key Question 4.
WRITE
Write about how to use the dollar sign and decimal point to show the total value of 5 quarters.
Answer:
1 quarter = 25 cents
Which means, 5 quarters = 25+25+25+25+25 = 125 cents
125 cents can be written as $1.25

Lesson Check
Question 1.
Julie has this money in her bank. What is the total value of this money?

________
Answer:
1 quarter = 25 cents
1 dime = 10 cents and
one $1 bill
Total value : $1 +25+10 = $1.35
Therefore, total value in Julie bank = $1.35

Spiral Review
Question 2.
There are 79 squash plants and 42 pepper plants in Julia’s garden. How many vegetable plants are in Julia’s garden altogether?

Answer:
7 9
+  4 2
__________
1 2 1

Therefore, the total number of plants in Julia’s garden are 121

Question 3.
What is the difference?

Answer:
6 1
–  2 7
______
3 4

Question 4.
What number is 100 less than 694?
_________
Answer: 594

Question 5.
Write an addition fact that has the same sum as 6 + 5.
10 + ______
Answer: 10+1 =11

Lesson 7.7 Problem Solving • Money

Essential Question How does acting it out help when solving problems about money?

Kendra gave 2 dimes, 2 nickels, 1 quarter, and two $1 bills to her sister. How much money did Kendra give her sister?

Unlock the Problem

Show how to solve the problem.
Draw to show the money that Kendra used.
Kendra gave her sister _________
Answer:
1 dime = 10 cents
Which means , 2 dimes = 10+10 = 20
1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
1 quarter = 25 cents
and two $1 bills
Total value of money = $1+$1 +20+10+25 = $2.55
Therefore, Kendra gave her sister = $2.25

HOME CONNECTION • Your child used play money to act out the problem. Representing problems with materials can be a useful strategy for children to use to solve problems.

Try Another Problem

Use play coins and bills to solve.
Draw to show what you did.
Question 1.
Jacob has two $1 bills, 2 dimes, and 3 pennies in his pocket. How much money does Jacob have in his pocket?
_________
Answer:
two $1 bills = $1+$1 = $2
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
and 3 pennies = 3 cents
Total value : $2+20+3 = $2.23

Question 2.
Amber used 2 quarters, 1 nickel, 1 dime, and three $1 bills to buy a toy. How much money did Amber use to buy the toy?
__________
Answer:
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 nickel = 5 cents
1 dime = 10 cents and
three $1 bills = $1+$1+$1 = $3
Total value : 50+5+10+$3 = $3.65

MATHEMATICAL PRACTICES
Explain how you found the amount of money in Jacob’s pocket.
Answer: The total value of the money is find in his pockets

Share and Show

Use play coins and bills to solve.
Draw to show what you did.
Question 3.
Val used 3 quarters, 2 nickels, 2 pennies, and one $1 bill to buy a book. How much money did Val use to buy the book?
__________
Answer:
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75 cents
1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
2 pennies = 2 cents
and $1 bill
Total value of money = 75+10+2 +$1= $1.87
Therefore, the amount Val used to buy the book = $1.87

Go Math Grade 2 Chapter 7 Test Question 4.
Derek has two $1 bills, 2 quarters, and 6 dimes. How much money does he have?
___________
Answer:
Two $1 bills = $1 +$1 = $2
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 dime = 10 cents
Which means, 6 dimes = 10+10+10+10+10+10 = 60 cents
Total value = $2 +50+60 = $3.10

Question 5.
THINK SMARTER
Katy has 3 quarters, 2 nickels, 2 dimes, and 3 pennies. How many more pennies does she need to have $1.10?

________ more pennies
Answer:
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75
1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
1 dime = 10 cents
Which means, 2 dimes = 10+10 = 20
and 3 pennies = 3 cents
Total value = 75+10+20+3 = $1.08
To make $1.10 we need two more pennies

Problem Solving • Applications

Question 6.
MATHEMATICAL PRACTICE Make Sense of Problems
Victor has some dollar bills, some quarters, and some nickels. Draw and label dollar bills, quarters, and nickels to show $2.25.
Answer:

one $1 bill ,
1 quarter = 25 cents
Which means , 4 quarters = 25+25+25+25 = 100
1 nickel = 5 cents
Which means, 5 nickels = 5+5+5+5+5= 25
Total value : $1+100+20 = $2.25

Question 7.
THINK SMARTER
Ross used 3 quarters, 4 dimes, 3 nickels, and 5 pennies to buy a card. How much money did Ross use to buy the card? Draw to show how you solve the problem.
Answer:

1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 =75 cents
1 dime = 10 cents
Which means, 4 dimes = 10+10+10+10 = 40
1 nickel = 5 cents
Which means, 3 nickels = 5+5+5 =15
and 5 pennies = 5 cents
Total : 75+40+15+5 = 135 cents
Therefore, the total value of money Ross used to buy the card = $1.35

TAKE HOME ACTIVITY • Ask your child to explain how he or she solved one problem in this lesson.

Problem Solving • Money Homework & Practice 7.7

Use play coins and bills to solve.
Draw to show what you did.
Question 1.
Sara has 2 quarters, 1 nickel, and two $1 bills.
How much money does Sara have?
_________
Answer:
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 nickel = 5 cents
and two $1 bills = $1+$1 = $2
Total value : $1+$1 +50+5 = $2.55

Question 2.
Brad has one $1 bill, 4 dimes, and 2 nickels in his bank. How much money does Brad have in his bank?
__________
Answer:
$1 bill,
1 dime = 10 cents
Which means, 4 dimes = 10+10+10+10 = 40
and 1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
Total : $1+40+10 = $1.50

Go Math Grade 2 Chapter 7 Test Pdf Question 3.
Mr. Morgan gives 1 quarter, 3 nickels, 4 pennies, and one $1 bill to the clerk. How much money does Mr. Morgan give the clerk?
__________
Answer:
1 quarter = 25 cents
1 nickel = 5 cents
Which means, 3 nickels = 5+5+5 = 15
4 pennies = 4 cents
and $1 bill
Total : $1 + 25+15+4 = $1.44

Question 4.
WRITE
Write or draw to explain how you would find the total value of two $1 bills and 3 quarters.
Answer:

Two $1 bills = $1+$1 = $2
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25 = 75
Total = $2 +75 = $2.75
Therefore, the total value of money =$2.75

Lesson Check
Question 1.
Lee has two $1 bills and 4 dimes. How much money does Lee have?
________
Answer:

4 dimes = 40 cents and $1 bill
The total value of money = $1.40

Question 2.
Dawn has 2 quarters, 1 nickel, and one $1 bill. How much money does Dawn have?
__________
Answer:

1 quarter = 25 cents
Which means, 2 quarters = 50 cents
1 nickel = 5 cents
and $1 bill
Total value of money is $1.55

Spiral Review
Question 3.
What is the value of the underlined digit?
56 ______
Answer: The value of underlined digit 6 is once

Question 4.
Cecilia collected 342 pennies for her class’s penny drive. Marked collected 243 pennies. Use <, >, or = to compare. Who collected more?
342 ____ 243
________ collected more.
Answer:
342 > 243
Cecilia have collected more.

Question 5.
Brooke’s dog has 15 treats. Then he ate 8 of them. How many treats does he have left?
15 – 8 = _______
Answer:
15 – 8 = 7
Therefore, the number of treats he left = 7

Question 6.
What is the next number in this pattern?
225, 325, 425, 525, ______
Answer: 625

Lesson 7.8 Time to the Hour and Half Hour

Essential Question How do you tell time to the hour and half hour on a clock?

Listen and Draw

Draw the hour hand to show each time.

             

2 hours 30 minutes                        2 hours 50 minutes

       

5 hours 5 minutes                                    7 hours 25 minutes

MATHEMATICAL PRACTICES
Communicate Describe where the hour hand points to show half past 4:00.
Answer:

The time half past 4:00 is 4: 30
The hours hand is between 4 and 5 nd the minutes hand is on 6 , Which means 30 minutes.
The time is 4:30

Share and Show

Look at the clock hands. Write the time.
Question 1.

Answer:
The time is 1:00
As the hours hand on 1 and the minutes hand is on 12 .
So, the time is 1 :00

Question 2.

Answer:
8 hours 30 minutes
As the hours hand is between 8 and 9 and the minutes hand is on 6 .Which means, 30 minutes
So, the time is 8 hours 30 minutes

Go Math Grade 2 Chapter 7 Pdf Question 3.

Answer:
3 hours 30 minutes
As the hours hand is between 3 and 4 and the minutes hand is on 6 .Which means, 30 minutes
So, the time is 3 hours 30 minutes

On Your Own

Look at the clock hands. Write the time.
Question 4.

Answer: 9 hours 30 minutes
As the hours hand is between 9 and 10 and the minutes hand is on 6 .Which means, 30 minutes
So, the time is 9 hours 30 minutes

Question 5.

Answer: 12 hours 30 minutes

Explanation:
The  hours hand is between 12 and 1 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 12 hours 30 minutes

Question 6.

Answer: 6’o clock

Explanation:
The  hours hand is on 6 and the minutes hand is on 12
So, the time is 6 hours or 6:00

Question 7.

Answer: 4’o clock

Explanation:
The  hours hand is on 4 and the minutes hand is on 12
So, the time is 4 hours or 4:00

Question 8.

Answer: 11 hours 30 minutes

Explanation:
The  hours hand is between 11 and 12 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 11 hours 30 minutes

Question 9.

Answer: 5 hours 30 minutes

Explanation:
The  hours hand is between 5 and 6 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 5 hours 30 minutes

Question 10.
THINK SMARTER
Look at the time. Draw the hour hand and the minute hand to show the same time.

Answer:

7:30                         2:00                           11:00

Problem Solving • Applications

Question 11.
MATHEMATICAL PRACTICE Make Connections
Allie eats lunch when the hour hand points halfway between the 11 and the 12, and the minute hand points to the 6. When does Allie eat lunch? Show the time on both clocks.

How do you know what time to write in the digital clock? Explain.
_______________________
_________________________
Answer:

The hour hand points halfway between the 11 and the 12, and the minute hand points to the 6.
The time Allie eats lunch is 11:30

Question 12.
THINK SMARTER
Match the clocks that show the same time.

Answer:

TAKE HOME ACTIVITY • Have your child describe what he or she knows about a clock face.

Time to the Hour and Half-Hour Homework & Practice 7.8

Look at the clock hands. Write the time.
Question 1.

Answer:  3’o clock

Explanation:
The  hours hand is on 3 and the minutes hand is on 12
So, the time is 3 hours or 3:00

Question 2.

Answer: 10 hours 30 minutes

Explanation:
The  hours hand is between 10 and 11 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 10 hours 30 minutes

Question 3.

Answer: 4’o clock

Explanation:
The  hours hand is on 4 and the minutes hand is on 12
So, the time is 4 hours or 4:00

Problem Solving
Question 4.
Amy’s music lesson begins at 4:00. Draw hands on the clock to show this time.

Answer:

The hours hand is on 4 and the minutes hand is on 12
So, the time is 4:00

Question 5.
WRITE
Draw a clock to show the time as 2:30. Describe how you decided where the clock hands should point.
______________________
______________________
Answer:

The hours hand is between 2 and 3 and the minutes hand is on 6 .Which means, 30 minutes
So, the time is 2 hours 30 minutes .

Lesson Check
Question 1.
What is the time on this clock?

_____
Answer: 3 hours 30 minutes

Explanation:
The  hours hand is between 3 and 4 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 3 hours 30 minutes

Question 2.
What is the time on this clock?

______

Answer: 6’o clock

Explanation:
The  hours hand is on 6 and the minutes hand is on 12
So, the time is 6 hours or 6:00

Spiral Review
Question 3.
Rachel has one $1 bill, 3 quarters, and 2 pennies. How much money does Rachel have?
________
Answer: $1.77

Explanation:
1 $1 bill
1 quarter = 25 cents
Which means, 3 quarters = 25+25+25=75
and 2 pennies = 2 cents
Total $1 +75+2 = $1.77
Therefore, the total value of the money = $1.77

Question 4.
Write <, >, or = to compare 260 and 362.
260 _____ 362
Answer:
260 < 362

Question 5.
What number is shown with these blocks?

______
Answer: 215
There are 2 hundred blocks and 1 ten block and 5 one block

Question 6.
Circle any even numbers.
1 3 4 5
Answer:
4 – Even number

Lesson 7.9 Time to 5 Minutes

Essential Question How do you tell and show time to five minutes?

Listen and Draw

Draw the hour hand and the minute hand to show the time.

Answer:

MATHEMATICAL PRACTICES
Describe where the minute hand points to show half past the hour.
Answer: The minute’s hand points to 6 Which means, 30 minutes or half past

Share and Show

Look at the clock hands. Write the time.
Question 1.

Answer: 3 hours 25 minutes

Explanation:
The  hours hand is between 3 and 4 and the minutes hand is on 5, which means 25 minutes
So, the time is 3 hours 25 minutes

Question 2.

Answer: 9 hours 5 minutes

Explanation:
The hour’s hand is between 9 and 10 and the minutes hand is on 1, which means 5 minutes
So, the time is 9 hours 5 minutes

Question 3.

Answer: 11 hours 40 minutes

Explanation:
The  hours hand is between 11 and 40 and the minutes hand is on 8 , which means, 40 minutes
So, the time is 11 hours 40 minutes

Question 4.

Answer: 12 hours 50 minutes

Explanation:
The  hours hand is between 12 and 1 and the minutes hand is on 10 , which means, 50 minutes
So, the time is 12 hours 50 minutes

Question 5.

Answer: 7 hours 15 minutes

Explanation:
The  hours hand is between 7 and 8 and the minutes hand is on 3 , which means, 15 minutes
So, the time is 7 hours 15 minutes

Question 6.

Answer: 5 hours 55 minutes

Explanation:
The  hours hand is between 5 and 6 and the minutes hand is on 11 , which means, 55 minutes
So, the time is 5 hours 55 minutes

On Your Own

Look at the clock hands. Write the time.
Question 7.

Answer: 6 hours 40 minutes or 6:40

Explanation:
The  hours hand is between 6 and 7 and the minutes hand is on 8 , which means, 40 minutes
So, the time is 6 hours 40 minutes

Question 8.

Answer: 9 hours 20 minutes or 9: 20

Explanation:
The  hours hand is between 9 and 10 and the minutes hand is on 4 , which means, 20 minutes
So, the time is 9 hours 20 minutes

Question 9.

Answer: 4 hours 30 minutes or 4:30

Explanation:
The  hours hand is between 4 and 5 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 4 hours 30 minutes

Question 10.

Answer:
2 hours 45 minutes or 2: 45

Explanation:
The  hours hand is between 2 and 3 and the minutes hand is on 9 , which means, 45 minutes
So, the time is 2 hours 45 minutes

Question 11.

Answer:
10 hours 10 minutes or 10 :10

Explanation:
The  hours hand is between 10 and 11 and the minutes hand is on 2 , which means, 10 minutes
So, the time is 10 hours 10 minutes

Question 12.

Answer: 8 hours 35 minutes or 8:35

Explanation:
The  hours hand is between 8 and 9 and the minutes hand is on 7 , which means, 35 minutes
So, the time is 8 hours 35 minutes

MATHEMATICAL PRACTICE Use Models
Look at the time. Draw the minute hand to show the same time.
Question 13.

Answer:

Question 14.

Answer:

Question 15.

Answer:

Problem Solving • Applications

Draw the clock hands to show the time.
Then write the time.
Question 16.
THINK SMARTER
My hour hand points between the 8 and the 9. In 35 minutes it will be the next hour. What time is it?

Answer:

The hours hand is between 8 and 9 and the minutes hand is on 5. Which means, 25 minutes
Also in 35 minutes , it will be 1 hour
So, the time is 8 hours 25 minutes

Question 17.
GO DEEPER
Mr. Brady fixes broken computers. Look at the start and finish times for his work on one computer. How many minutes did he work on the computer?

_______ minutes
Answer: 60 minutes

Explanation:
Given that , Mr. Brady fixes broken computers.
The time he starts  the work = 4:00
The time he finishes the work = 5: 00
The time difference between 1 hour is 60 minutes
Therefore, the time he took to fix the computer = 60 minutes

Question 18.

THINK SMARTER
Angel eats lunch at 12:45. Angel spent 10 minutes eating lunch. Draw the minute hand on the clock to show when Angel finished eating. Write the time.

___ : ____
Answer:

Given that, Angel eats lunch at 12 :45
She spend 10 minutes to eat
10 minutes after 12 :45 means 12:55
Therefore, Angel completes her lunch at 12:55

TAKE HOME ACTIVITY • Have your child draw a large blank clock face and use two pencils as clock hands to show some different times.

Time to 5 Minutes Homework & Practice 7.9

Look at the clock hands. Write the time.
Question 1.

Answer: 8 hours 15 minutes or 8: 15

Explanation:
The  hours hand is between 8 and 9 and the minutes hand is on 3 , which means, 15 minutes
So, the time is 8 hours 15 minutes

Question 2.

Answer: 2 hours 40 minutes or 2:40

Explanation:
The  hours hand is between 2 and 3 and the minutes hand is on 8 , which means, 40 minutes
So, the time is 2 hours 40 minutes

Question 3.

Answer: 5 hours 55 minutes or 5: 55

Explanation:
The  hours hand is between 5 and 6 and the minutes hand is on 11 , which means, 55 minutes
So, the time is 5 hours 55 minutes

Problem Solving
Draw the minute hand to show the time.
Then write the time.
Question 4.
My hour hand points between the 4 and the 5. My minute hand points to the 9. What time do I show?

Answer:

The time is 4: 45
The hours hand is between 4 and 5 and the minutes hand is on 9 . Which means, 45 minutes
So, the time is 4 hours 45 minutes.

Question 5.
WRITE
Draw a clock showing 2:50. Explain how you know where the clock hands point.
Answer:

The clock shows the time 2 : 50
The hours hand is between 2 and 3 and the minutes hand is on 10 .Which means, 50 minutes
The time is 2 hours 50 minutes .

Lesson Check
Question 1.
What is the time on this clock?

Answer: 8 hours 5 minutes or 8: 05

Explanation:
The  hours hand is between 8 and 9 and the minutes hand is on 1 , which means, 5 minutes
So, the time is 8 hours 5 minutes

Question 2.
What is the time on this clock?

Answer:
7 hours 20 minutes or 7:20

Explanation:
The  hours hand is between 7 and 8 and the minutes hand is on 4, which means, 20 minutes
So, the time is 7 hours 20 minutes

Spiral Review
Question 3.
What is the sum?
1 + 6 + 8 = _____
Answer: 15

Question 4.
Which number has the same value as 30 tens?
______
Answer: 300

Go Math Lesson 7.9 2nd Grade Answer KeyQuestion 5.
Steven has 3 rows of toys. There are 4 toys in each row. How many toys are there?
_____ toys
Answer:
Given that , Steven has 3 rows of toys
There are 4 toys in each row
Total number of toys 4+4+4 = 12
Therefore, the total number of toys = 12

Question 6.
Jill has 14 buttons. She buys 8 more buttons. How many buttons does Jill have?

Answer:
Given,
The total number of buttons Jill have =  14
Also, she has 8 more buttons
Now, total buttons = 14 + 8 = 22
Therefore, the total number of buttons = 120

Lesson 7.10 Practice Telling Time

Essential Question What are the different ways you can read the time on a clock?

Listen and Draw

Write the times on the digital clocks.
Then label the clocks with the children’s names.

1. 11 hours 45 minutes – 11: 45
2. 3 hours 25 minutes – 3 :25
3. 7 hours 15 minutes – 7:15
4. 6 hours 10 minutes – 6:10

MATHEMATICAL PRACTICES
Where would the minute hand point to show 15 minutes after the hour? Explain.
Answer:

The minutes hand should point on 3 to show 15 minutes after the hour.

Share and Show

Draw the minute hand to show the time. Write the time.
Question 1.
15 minutes after 1

Answer:

15 minutes after 1
The time is 1 hours 15 minutes
The hours hand is between 1 and 2 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 1 hours 15 minutes

Question 2.
half past 9

Answer:

Half past 9 means 30 minutes after 9
The time is 9 hours 30 minutes
The hours hand is between 9 and 10 and the minutes hand is on 6. Which means, 30 minutes
So, the time is 9 hours 30 minutes

Question 3.
quarter past 5

Answer:

Quarter past 5 means 15 minutes after 5
The time is 5 hours 15 minutes
The hours hand is between 5 and 6 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 5 hours 15 minutes

Question 4.
quarter past 10

Answer:

Quarter past 10 means 15 minutes after 10
The time is 10 hours 15 minutes
The hours hand is between 10 and 11 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 10 hours 15 minutes

Question 5.
40 minutes after 3

Answer:

40 minutes after 3 means, 3:40
The time is 3 hours 40 minutes
The hours hand is between 3 and 4 and the minutes hand is on 8. Which means, 40 minutes
So, the time is 3 hours 40 minutes

Question 6.
half past 7

Answer:

Half past 7 means 30 minutes after 7
The time is 7 hours 30 minutes
The hours hand is between 7 and 8 and the minutes hand is on 6. Which means, 30 minutes
So, the time is 7 hours 30 minutes

On Your Own

Draw the minute hand to show the time.
Write the time.
Question 7.
15 minutes after 11

Answer:

15 minutes after 11 means, 11:15
The time is 11 hours 15 minutes
The hours hand is between 11 and 12 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 11 hours 15 minutes

Question 8.
quarter past 4

Answer:

Quarter past 4 means 15 minutes after 4
The time is 4 hours 15 minutes
The hours hand is between 4 and 5 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 4 hours 15 minutes

Question 9.
25 minutes after 8

Answer:

25 minutes after 8
The time is 8 hours 25 minutes
The hours hand is between 8 and 9 and the minutes hand is on 5. Which means, 25 minutes
So, the time is 8 hours 25 minutes

Question 10.
10 minutes after 6

Answer:

10 minutes after 6 means 6: 10
The time is 6 hours 10 minutes
The hours hand is between 6 and 7 and the minutes hand is on 2. Which means, 10 minutes
So, the time is 6 hours 10 minutes

Question 11.
half past 2

Answer:

Half past 2 means 30 minutes after 2
The time is 2 hours 30 minutes
The hours hand is between 2 and 3 and the minutes hand is on 6. Which means, 30 minutes
So, the time is 2 hours 30 minutes

Question 12.
45 minutes after 3

Answer:

45 minutes after 4 means,  4: 45
The time is 4 hours 45 minutes
The hours hand is between 4 and 5 and the minutes hand is on 9. Which means, 45 minutes
So, the time is 4 hours 45 minutes

Question 13.
5 minutes after 7

Answer:

5 minutes after 7 means 7:05
The time is 7 hours 5 minutes
The hours hand is between7 and 8 and the minutes hand is on 1. Which means, 5 minutes
So, the time is 7 hours 5 minutes

Question 14.
30 minutes after 12

Answer:

30 minutes after 12
The time is 12 hours 30 minutes
The hours hand is between 12 and 1 and the minutes hand is on 6. Which means, 30 minutes
So, the time is 12 hours 30 minutes

Question 15.
quarter past 10

Answer:

Quarter past 10 means 15 minutes after 10
The time is 10 hours 15 minutes
The hours hand is between 10 and 11 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 10 hours 15 minutes

Problem Solving • Applications

Question 16.
THINK SMARTER
Lily eats lunch at quarter past 12. Meg eats lunch at 12:30. Katie eats lunch at 12:15. Which girls eat lunch at the same time?
_______ and _______

Answer:
Given that, Lily eats lunch at quarter past 12 which also means 30 minutes after 12, 12: 30
Meg eats lunch at 12: 30
and Katie eats lunch at 12: 15
Therefore, Lily and Meg eat lunch at the same time .

Question 17.
MATHEMATICAL PRACTICE
Explain Soccer practice starts at 4:30. Gabe arrives at soccer practice at 4:15. Does he arrive before or after practice starts? Explain.
____________________
____________________
Answer:
Given that, Soccer practice starts at 4: 30
and Gabi arrives practice at 4: 15
So, Gabi arrives 15 minutes before the soccer practice starts.

Question 18.
THINK SMARTER
What time is shown on the clock? Fill in the bubble next to all the ways to write or say the time.

Answer:
The hours hand is between 3 and 4 and the minutes hand is on 5 . Which means, 25 minutes
So the time is 3 : 25 or 25 minutes after 3

1. 3: 25
2. 25 minutes after 3

TAKE HOME ACTIVITY • Name a time to 5 minutes. Ask your child to describe where the clock hands point at this time.

Practice Telling Time Homework & Practice 7.10

Draw the minute hand to show the time. Write the time.
Question 1.
quarter past 7

Answer:

Quarter past 7 means 15 minutes after 7
The time is 7 hours 15 minutes
The hours hand is between 7 and 8 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 7 hours 15 minutes

Question 2.
half past 3

Answer:

Half past 3 means 30 minutes after 3
The time is 3 hours 30minutes
The hours hand is between 3 and 4 and the minutes hand is on 6. Which means, 30 minutes
So, the time is 3 hours 30 minutes

Question 3.
50 minutes after 1

Answer:

50 minutes after 1 means  1 hour 50 minutes
The time is 1 hours 50minutes
The hours hand is between 1 and 2 and the minutes hand is on 10. Which means, 50 minutes
So, the time is 1 hours 50 minutes

Question 4.
quarter past 11

Answer:

Quarter past 11 means 15 minutes after 11
The time is 11 hours 15 minutes
The hours hand is between 11 and 12 and the minutes hand is on 3. Which means, 15 minutes
So, the time is 11 hours 15 minutes

Problem Solving
Draw hands on the clock to solve.
Question 5.
Josh got to school at half past 8. Show this time on the clock.

Answer:

Half past 8 means, 30 minutes after 8
The time Josh got to school is 8 hours 30 minutes
As the hours hand is between 8 and 9 and the minutes hand is on 6. Which means, 30 minutes
So, the time is 8 hours 30 minutes

Question 6.
WRITE
Write the time 8:30. Then write this time in two other ways, using words.
______________
________________
Answer:
The time is
8:30 = Half past 8
8 :30 – 8 hours 30 minutes

Lesson Check
Question 1.
Write the time on this clock using words.

Answer: The time is six hours fifteen minutes or quarter past 6

Spiral Review
Question 2.
What is the value of this group of coins?

Answer: 46 cents

Explanation:
1 quarter = 25 cents
1 dime = 10 cents
Which means , 2 dimes = 10+10=20
1 penny = 1 cents
Total : 25+20+1 = 46 cents
Therefore, the total value of the coins = 46 cents

Question 3.
What time is shown on this clock?

________
Answer: 7:15

Explanation :
The hours hand is between 7 and the minutes hand is on 3 ,Which means 15 minutes
So ,the time is 7 hours 15 hours.

Question 4.
Write six hundred forty-seven using numbers.
______________
Answer: 647 – Six hundred forty-seven

Lesson 7.11 A.M. and P.M.

Essential Question How do you use A.M. and P.M. to describe times?

Listen and Draw

Draw the clock hands to show each time.
Then write each time.

Answer:

The time is 7 hours 15 minutes a.m.
As the hours hand is between 7 and 8 and the minutes hand is on 3 Which means, 15 minutes
So, the time is 7 hours 15 minutes a.m.

The time is 3 hours 45 minutes p.m.
As the hours hand is between 3 and 4 and the minutes hand is on 9 .Which means, 45 minutes
So, the time is 3 hours 45 minutes .

MATHEMATICAL PRACTICES
Describe some activities that you do in both the morning and in the evening.
Answer:

The activities that we do in both the morning and in the evening are

1. Reading
2. Exercise/meditation
3. Brushing teeth
4. Taking bath

Share and Show

Write the time. Then circle a.m. or p.m.
Question 1.
eat breakfast

Answer:
7:15 a.m.
7 hours 15 minutes

Explanation:
The  hours hand is between 7 and 8 and the minutes hand is on 3 , which means, 15 minutes
So, the time is 7 hours 15 minutes

Question 2.
go to art class

Answer:
1:40 p.m.
1 hours 40 minutes

Explanation:
The  hours hand is between 1 and 2 and the minutes hand is on 8 , which means, 40 minutes
So, the time is 1 hours 40 minutes

Question 3.
do homework

Answer:
4:30 p.m.
4 hours 30 minutes

Explanation:
The  hours hand is between 4 and 5 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 4 hours 30 minutes

Question 4.
arrive at school

Answer:
8: 25 a.m.
8 hours 25 minutes

Explanation:
The  hours hand is between 8 and 9 and the minutes hand is on 5 , which means, 25 minutes
So, the time is 8 hours 25 minutes

On Your Own

Write the time. Then circle a.m. or p.m.
Question 5.
go to the library

Answer:
2:50 p.m.
2 hours 50 minutes

Explanation:
The  hours hand is between 2 and 3 and the minutes hand is on 10 , which means, 50 minutes
So, the time is 2 hours 50 minutes

Question 6.
go to science class

Answer:
10:30 a.m.
10 hours 30 minutes

Explanation:
The  hours hand is between 10 and 11 and the minutes hand is on 6 , which means, 30 minutes
So, the time is 10 hours 30 minutes

Question 7.
eat lunch

Answer:
11:45 a.m.
11 hours 45 minutes

Explanation:
The  hours hand is between 11 and 12 and the minutes hand is on 9 , which means, 45 minutes
So, the time is 11 hours 45 minutes

Question 8.
look at the moon

Answer:
8: 15 p.m.
8 hours 15 minutes

Explanation:
The  hours hand is between 8 and 9 and the minutes hand is on 3 , which means, 15 minutes
So, the time is 8 hours 15 minutes

Question 9.
THINK SMARTER
Use the times in the list to complete the story.

Don got to school at _______. His class went to the library at _____. After school, Don read a book at _____.
Answer:
Don got to school at 8 : 30 a.m. His class went to the library at 10:15a.m.  After school, Don read a book at 3:20p.m.

Problem Solving • Applications

Question 10.
GO DEEPER
Some times are shown on this time line. Write a label for each dot that names something you do at school during that part of the day.

At what times would you say the dots are placed on the time line?
_____ and _____
Answer:
8:00 a.m. – Yoga class
10:00 a.m. – Project work
Noon – Eat lunch
2:00 p.m. – Music class
4: 00 – Games

1. 9: 00 a.m.
2. 1:00 p.m.

Question 11.
THINK SMARTER+
The clock shows the time Jane goes to recess. Write the time. Then circle a.m. or p.m.

Recess lasted one hour. Write the time recess was over. Write a.m. or p.m.
_______________
Answer:
The clock sows the time is 11: 30 a.m.
As the hours hand is between 11 and 12 and the minutes hand is on 6 Which means, 30 minutes
So , the time is 11 hours 30 minutes a.m.
Given that, Recess lasted one hour .
So, the time recess was over is 12 : 30 p.m.

TAKE HOME ACTIVITY • Name some activities and times. Have your child say a.m. or p.m. for the times.

A.M. and P.M. Homework & Practice 7.11

Write the time. Then circle A.M. or P.M.
Question 1.
walk the dog

Answer: 4 hours 40 minutes p.m.

Explanation:
The hours hand is between 4 and 5 and the minutes hand is on 8 .Which means 40 minutes
So the time is 4:40 p.m.

Question 2.
finish breakfast

Answer: 7 hours 30 minutes A.m.

Explanation :
The hours hand is between 7 and 8 and the minutes hand is on 6 . Which means , 30 minutes
So, the time is 7 : 30 a.m.

Problem Solving
Use the list of times. Complete the story.

Question 3.
Jess woke up at _____. She got on the bus at _____ and went to school. She left school at _______.
Answer: Jess woke up at 7:00 A.m. She got on the bus at 8:30 A.m. and went to school . She left the school at 3:15 p.m.

Question 4.
WRITE
List two school activities that you do in the morning and two school activities that you do in the afternoon. Write times for these activities using A.M. and P.M.
___________________
__________________
Answer:
Morning activities:
a. Yoga class – 8:30 a.m.
b. Art class – 11:45 a.m.
Evening activities
a. Drawing time : 3:30 p.m.
b. Music class : 5:00 p.m.

Lesson Check
Question 1.
The clock shows when the soccer game ended. What time was it?

_______
Answer: 4 hours 50 minutes

Explanation:
The hours hand is between 4 and 5 and the minutes hand is on 10 ,Which means 50 minutes
So, the time is 4 hours 50 minutes

Question 2.
The clock shows when Dad gets up for work. What time is it?

_______
Answer: 6 hours 10 minutes

Explanation :
The hours hand is on 6 and the minutes hand is on 2 .Which means, 10 minutes
So, the time is 6 hours 10 minutes .

Spiral Review
Question 3.
What coin has the same value as 25 pennies? Draw your answer.
Answer:
Quarter

Explanation:
1 penny = 1 cent
Which means , 25 pennies = 25 cents
We know that 1 quarter = 25 cents
So, the coin is a quarter coin.

Question 4.
Describe 72 as a sum of tens and ones.
____ + ____
Answer:
72 can be shown in tens as 70 and once as 2
Total : 70 + 2 = 72

Question 5.
At the beginning of the school year there were 437 2nd graders at Woods Elementary. Over the course of the year,24 students joined. How many 2nd graders are there at the end of the year?

Answer:
4 3 7
+ 2 4
_______
4 6 1
Therefore, the number of  2nd graders are there at the end of the year = 461

Question 6.
What time is quarter past 3?
_______
Answer:
3 : 15
quarter past means 15 minutes after 3
So the time is 3 hours 15 minutes.

Money and Time Review/Test

Question 1.
Andrea pays $2.15 for a jump rope. Fill in the bubble next to all the ways that show $2.15.

Answer:

1. two $1 bills , 1 dime and 1 nickel = $2.15
2. one $1 bill, 3 quarters and 4 dimes = $2.15

Question 2.
The clock shows the time Michael eats breakfast.
Write the time. Circle a.m. or p.m.

Tell how you knew whether to select a.m. or p.m.
Answer: 7:10 a.m.
The time is 7 hours 10 minutes as the hours hand is on 7 and the minutes hand is on 2, Which means 10 minutes
And also breakfast is consumed in morning time
So, the time is 7: 10 a.m.

Question 3.
Fill in the bubble next to all the groups of coins with a total of 60¢.

Answer:

1. Yes, because 2 quarters = 50¢ , 1 dime= 10¢ ; Total = 60¢
2. Yes, because 1 quarter = 25 ¢,2 dimes = 20¢ and 3 nickels = 15¢ ;Total = 60¢
3. No, because 5 dimes = 50¢, 1 nickel = 5¢ 6 pennies = 6 cents ;Total = 61¢
4. No, because 4 nickels = 20¢ , 20 pennies = 20 cents ;Total = 40¢

Question 4.
GO DEEPER
Tess gave Raul these coins. Tess says she gave Raul $1.00. Is Tess correct? Explain.

_______________________
______________________
Answer:  No, she is wrong

Explanation:
$1 = 100 cents
The value of the coins she gave =
1 quarter = 25 cents
Which means, 2 quarters= 25+25 = 50
and 1 dime = 10 cents
Total :
50 + 10 = 60
So, the value of coins she gave to Raul = 60¢
Therefore, Tess is wrong .

Question 5.
Write the time that is shown on this clock.

Answer: 8 hours 5 minutes

Explanation :
The hours hand is on 8 and the minutes hand is on 1 which means, 5 minutes
So, the time is 68 hours 5 minutes

Question 6.
What time is shown on the clock? Fill in the bubble next to all the ways to write or say the time.

Answer:
The time in the given clock is 4 hours 35 minutes
It can be shown as 4 : 35
It can also be written as 35 minutes past 4

Question 7.
THINK SMARTER+
Alicia has this money in her pocket.

Answer: $1.70

Explanation:
1 dollar = 100 cents
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 dime = 10 cents
Which means , 2 dimes = 10+10 = 20
Total value of money = 100+50+20 = 170 cents
Is can be shown as $1 .70
Therefore, Alicia has a total of $1.70 in her pocket.

Question 8.
Kate’s father gave her these coins. Write the value of the coins. Explain how you found the the total value.

_________________________
_________________________
Answer:31 ¢

Explanation:
1 quarter = 25 cents
Which means, 2 quarters = 25+25 = 50
1 nickel = 5 cents
Which means, 2 nickels = 5+5 = 10
and 1 penny = 1 cent
Total value of coins = 50+10+1 = 61¢

Question 9.
Write the times the clocks show.

Answer:

1. 4 hours 30 minutes
2. 7 hours 30 minutes
3. 5 ‘o clock

Question 10.
Ben has 30¢. Circle coins to show this amount.

Answer:

Question 11.
Mia buys apples that costs 76¢.
Draw and label coins to show a total value of 76¢
Answer:
76¢ can be shown as 3 quarters and 1 penny
1 quarter = 25 cents
Which means , 3 quarters = 25+25+25 = 75
And 1 penny = 1 cents
Total : 75+1 = 76¢

Conclusion:

Get step by step explanation for all the questions in a simple manner from Go Math Grade 2 Answer Key Chapter 7 Money and Time. All the answers seen in HMH Go Math Grade 2 Chapter 7 are prepared by the math experts. Make use of the links and score good marks in the exams.

Go Math Grade 5 Chapter 2 Answer Key Pdf: Do you want to get the best results in math tests? Refer to Go Math Grade 5 Answer Key Chapter 2 Divide Whole Numbers. Get the free pdf of Go Math Grade 5 Answer Key now to begin your practice. HMH Go Math Grade 5 Practice Books along with questions and answers are included here. Just follow and grab more knowledge by referring to Go Math Grade 5 Chapter 2 Divide Whole Numbers Solution key.

Divide Whole Numbers Go Math Grade 5 Chapter 2 Answer Key Pdf

Apply the math to real-time examples by learning the tricks using HMH Go Math Grade 5 Answer Key. The quick way of solving math problems will help the students to save time. So, students can practice more questions utilizing the time properly. If you want the best way of learning then you must use Go Math Grade 5 Chapter 2 Divide Whole Numbers Answer Key.

Lesson 1: Place the First Digit

• Place the First Digit – Page No. 63
• Place the First Digit Lesson Check – Page No. 64

Lesson 2: Divide by 1-Digit Divisors

• Divide by 1-Digit Divisors – Page No. 67
• Divide by 1-Digit Divisors Lesson Check – Page No. 68

Lesson 3: Investigate • Division with 2-Digit Divisors

• Division with 2-Digit Divisors – Page No. 71
• Division with 2-Digit Divisors Lesson Check – Page No. 72

Lesson 4: Partial Quotients

• Partial Quotients – Page No. 75
• Partial Quotients Lesson Check – Page No. 76

Mid-Chapter Checkpoint

• Mid-Chapter Checkpoint – Page No. 77
• Mid-Chapter Checkpoint Lesson Check – Page No. 78

Lesson 5: Estimate with 2-Digit Divisors

• Estimate with 2-Digit Divisors – Page No. 81
• Estimate with 2-Digit Divisors Lesson Check – Page No. 82

Lesson 6: Divide by 2-Digit Divisors

• Divide by 2-Digit Divisors – Page No. 85
• Divide by 2-Digit Divisors Lesson Check – Page No. 86

Lesson 7: Interpret the Remainder

• Interpret the Remainder – Page No. 89
• Interpret the Remainder Lesson Check – Page No. 90

Lesson 8: Adjust Quotients

• Adjust Quotients – Page No. 92
• Adjust Quotients Lesson Check – Page No. 93
• Adjust Quotients Lesson Check 1 – Page No. 94

Lesson 9: Problem Solving • Division

• Division – Page No. 97
• Division Lesson Check – Page No. 98

Review/Test

• Review/Test – Page No. 99
• Review/Test – Page No. 100
• Review/Test – Page No. 101
• Review/Test – Page No. 102

Place the First Digit – Share and Show – Page No. 63

Divide.

Question 1.
3)\(\overline { 579 } \)
_____

Answer:
193

Explanation:
Divide integers 57/3 = 19
Multiply 19 x 3 = 57; Subtract 57 – 57 = 0
Write down 9 and divide integers 9/3 = 3.
Multiply 3 x 3 = 9. Subtract 9 – 9 = 0.
The remainder is 0.
So, 193 is the answer.

Question 2.
5)\(\overline { 1,035 } \)
_____

Answer:
207

Explanation:
Divide integers 10/5 = 2
Multiply 2 x 5 = 10; Subtract 10 – 10 = 0
Write down 35 and divide integers 35/5 = 7.
Multiply 7 x 5 = 35. Subtract 35 – 35 = 0.
The remainder is 0.
So, 207 is the answer.

Go Math Book 5th Grade Place The First Digit Lesson 2.1 Question 3.
8)\(\overline { 1,766 } \)
_____ R _____

Answer:
220 R 6

Explanation:
Divide integers 17/8 = 2
Multiply 2 x 8 = 16; Subtract 17 – 16 = 1
Write down 16 and divide integers 16/8 = 2.
Multiply 2 x 8 = 16. Subtract 16 – 16 = 0.
Write down 6; 6 < 8. There are not enough tens
So, the remainder is 6
So, 220 is the answer.

On Your Own

Divide.

Question 4.
8)\(\overline { 275 } \)
_____ R _____

Answer:
43 R 3

Explanation:
Divide integers 27/8 = 3
Multiply 8 x 3 = 24; Subtract 27 – 24= 3
Write down 3 and divide integers 35/8 = 4.
Multiply 8 x 4 = 32. Subtract 35 – 32 = 3.
The remainder is 3.
So, 43 is the answer.

Question 5.
3)\(\overline { 468 } \)
_____

Answer:
155 R 3

Explanation:
Divide integers 46/3 = 15
Multiply 3 x 15 = 45; Subtract 46 – 45= 1
Write down 18 and divide integers 18/3 = 5.
Multiply 3 x 5 = 15. Subtract 18 – 15 = 3.
The remainder is 3.
So, 155 is the answer.

Question 6.
4)\(\overline { 3,220 } \)
_____

Answer:
805

Explanation:
Divide integers 32/4 = 8
Multiply 4 x 8 = 32; Subtract 32 – 32 = 0
Write down 20 and divide integers 20/4 = 5.
Multiply 4 x 5 = 20. Subtract 20 – 20= 0.
The remainder is 0.
So, 805 is the answer.

Question 7.
6)\(\overline { 618 } \)
_____

Answer:
103

Explanation:
Divide integers 61/6 = 10
Multiply 6 x 10 = 60; Subtract 61 – 60 = 1
Write down 18 and divide integers 18/6 = 3.
Multiply 6 x 3 = 18. Subtract 18 – 18 = 0.
The remainder is 0.
So, 103 is the answer.

Question 8.
4)\(\overline { 716 } \)
_____

Answer:
179

Explanation:
Divide integers 71/4 = 17
Multiply 4 x 17 = 68; Subtract 71 – 68 = 3
Write down 36 and divide integers 36/4 = 9.
Multiply 4 x 9 = 36. Subtract 36 – 36 = 0.
The remainder is 0.
So, 179 is the answer.

Question 9.
9)\(\overline { 1,157 } \)
_____ R _____

Answer:
128 R 5

Explanation:
Divide integers 11/9 = 1
Multiply 9 x 1 = 9; Subtract 11 – 9 = 2
Write down 25 and divide integers 25/9 = 2.
Multiply 9 x 2 = 18. Subtract 25 – 18 = 7.
Write down 77 and divide integers 77/9 = 8.
Multiply 9 x 8 = 72. Subtract 77 – 72= 5.
The remainder is 5.
So, 128 is the answer.

Question 10.
6)\(\overline { 6,827 } \)
_____ R _____

Answer:
1,137 R 5

Explanation:
Divide integers 6/6 = 1
Multiply 6 x 1 = 6; Subtract 6 – 6 = 0
Write down 82 and divide integers 82/6 = 13.
Multiply 6 x 13 = 78. Subtract 82 – 78 = 4.
Write down 47 and divide integers 47/6 = 7.
Multiply 6 x 7 = 42. Subtract 47 – 42= 5.
The remainder is 5.
So, 1,137 is the answer.

Go Math Grade 5 Chapter 2 Answer Key Pdf Question 11.
7)\(\overline { 8,523 } \)
_____ R _____

Answer:
1,217 R 4

Explanation:
Divide integers 8/7 = 1
Multiply 7 x 1 = 7; Subtract 8 – 7 = 1
Write down 15 and divide integers 15/7 = 2.
Multiply 7 x 2 = 14. Subtract 15 – 14 = 1.
Write down 12 and divide integers 12/7 = 1.
Multiply 7 x 1 = 7. Subtract 12 – 7= 5.
Write down 53 and divide integers 53/7 = 7.
Multiply 7 x 7 = 49. Subtract 53 – 49= 4.
The remainder is 4.
So, 1,217 is the answer.

Practice: Copy and Solve Divide.

Question 12.
645 ÷ 8 = _____ R _____

Answer:
645 ÷ 8 = 80 R 5

Explanation:
Divide integers 64/8 = 8
Multiply 8 x 8 = 64; Subtract 64 – 64 = 0
Write down 05; 5 < 8; There are not enough tens
The remainder is 5.
So, 80 is the answer.

Question 13.
942 ÷ 6 = _____

Answer:
157

Explanation:
Divide integers 9/6 = 1
Multiply 6 x 1 = 6; Subtract 9 – 6 = 3
Write down 34 and divide integers 34/6 = 5.
Multiply 6 x 5 = 30. Subtract 34 – 30 = 4.
Write down 42 and divide integers 42/6 = 7.
Multiply 6 x 7 = 42. Subtract 42 – 42 = 0.
The remainder is 0.
So, 157 is the answer.

Question 14.
723 ÷ 7 = _____ R _____

Answer:
103 R 2

Explanation:
Divide integers 7/7 = 1
Multiply 7 x 1 = 7; Subtract 7 – 7 = 0
Write down 23 and divide integers 23/7 = 3.
Multiply 7 x 3 = 21. Subtract 23 – 21 = 2.
The remainder is 2.
So, 103 is the answer.

Question 15.
3,478 ÷ 9 = _____ R _____

Answer:
386 R 4

Explanation:
Divide integers 34/9 = 3
Multiply 9 x 3 = 27; Subtract 34 – 27 = 7
Write down 77 and divide integers 77/9 = 8.
Multiply 9 x 8 = 72. Subtract 77 – 72 = 5.
Write down 58 and divide integers 58/9 = 6.
Multiply 9 x 6 = 54. Subtract 58 – 54= 4.
The remainder is 4.
So, 386 is the answer.

Question 16.
3,214 ÷ 5 = _____ R _____

Answer:
642 R 4

Explanation:
Divide integers 32/5 = 6
Multiply 5 x 6 = 30; Subtract 32 – 30 = 2
Write down 21 and divide integers 21/5 = 4.
Multiply 5 x 4 = 20. Subtract 21 – 20 = 1.
Write down 14 and divide integers 14/5 = 2.
Multiply 5 x 2 = 10. Subtract 14 – 10 = 4.
The remainder is 4.
So, 642 is the answer.

Question 17.
492 ÷ 4 = _____

Answer:
123

Explanation:
Divide integers 4/4 = 1
Multiply 4 x 1 = 4; Subtract 4 – 4 = 0
Write down 9 and divide integers 9/4 = 2.
Multiply 4 x 2 = 8. Subtract 9 – 8 = 1.
Write down 12 and divide integers 12/4 = 3.
Multiply 4 x 3 = 12. Subtract 12 – 12 = 0.
The remainder is 0.
So, 123 is the answer.

Question 18.
2,403 ÷ 9 = _____

Answer:
267

Explanation:
Divide integers 24/9 = 2
Multiply 9 x 2 = 18; Subtract 24 – 18 = 6
Write down 60 and divide integers 60/9 = 6.
Multiply 9 x 6 = 54. Subtract 60 – 54 = 6.
Write down 63 and divide integers 63/9 = 7.
Multiply 9 x 7 = 63. Subtract 63 – 63 = 0.
The remainder is 0.
So, 267 is the answer.

Question 19.
2,205 ÷ 6 = _____ R _____

Answer:
367 R 3

Explanation:
Divide integers 22/6 = 3
Multiply 6 x 3 = 18; Subtract 22 – 18 = 4
Write down 40 and divide integers 40/6 = 6.
Multiply 6 x 6 = 36; Subtract 40 – 36 = 4
Write down 45 and divide integers 45/6 = 7.
Multiply 6 x 7 = 42; Subtract 45 – 42 = 3
The remainder is 3.
So, 367 is the answer.

Question 20.
2,426 ÷ 3 = _____ R _____

Answer:
808 R 2

Explanation:
Divide integers 24/3 = 8
Multiply 3 x 8 = 24; Subtract 24 – 24 = 0
Write down 26 and divide integers 26/3 = 8.
Multiply 3 x 8 = 24. Subtract 26 – 24 = 2.
The remainder is 2.
So, 808 is the answer.

Question 21.
1,592 ÷ 8 = _____ R _____

Answer:
199

Explanation:
Divide integers 15/8 = 1
Multiply 8 x 1 = 8; Subtract 15 – 8 = 7
Write down 79 and divide integers 79/8 = 9.
Multiply 8 x 9 = 72; Subtract 79 – 72 = 7
Write down 72 and divide integers 72/8 = 9.
Multiply 8 x 9 = 72; Subtract 72 – 72 = 0
The remainder is 0.
So, 199 is the answer.

Question 22.
926 ÷ 4 = _____ R _____

Answer:
231 R 2

Explanation:
Divide integers 9/4 = 2
Multiply 4 x 2 = 8; Subtract 9 – 8 = 1
Write down 12 and divide integers 12/4 = 3.
Multiply 4 x 3 = 12; Subtract 12 – 12 = 0
Write down 6 and divide integers 6/4 = 1.
Multiply 4 x 1 = 4; Subtract 6 – 4 = 2
The remainder is 2.
So, 231 is the answer.

Question 23.
6,033 ÷ 5 = _____ R _____

Answer:
1,206 R 3

Explanation:
Divide integers 6/5 = 1
Multiply 5 x 1 = 5; Subtract 6 – 5 = 1
Write down 10 and divide integers 10/5 = 2.
Multiply 5 x 2 = 10; Subtract 10 – 10 = 0
Write down 33 and divide integers 33/5 = 6.
Multiply 5 x 6 = 30; Subtract 33 – 30 = 3
The remainder is 3.
So, 1206 is the answer.

Place the First Digit – UNLOCK the Problem – Page No. 64

Question 24.
Rosa has a garden divided into sections. She has 125 daisy plants. If she plants an equal number of daisy plants in each section of daisies, will she have any left over? If so, how many daisy plants will be left over?

a. What information will you use to solve the problem?
Type below:
__________

Answer:
We can use the fact that she has 125 daisy plants and she plants an equal number of the daisy plants in each of 3 sections.

Question 24.
b. How will you use division to find the number of daisy plants left over?
Type below:
__________

Answer:
We have to do 125/3
Divide integers 12/3 = 4
Multiply 3 x 4 = 12; Subtract 12 – 12 = 0
Write down 5 and divide integers 5/3 = 1.
Multiply 3 x 1 = 3; Subtract 5 – 3 = 2
The remainder is 2.
41 daisy plants in each section.
2 daisy plants left over

Question 24.
c. Show the steps you use to solve the problem. Estimate: 120 ÷ 3 = _____
Type below:
__________

Answer:
Divide integers 12/3 = 4
Multiply 3 x 4 = 12; Subtract 12 – 12 = 0
The remainder is 0.
So, 40 is the answer.

Question 24.
d. Complete the sentences:
Rosa has _____ daisy plants.
She puts an equal number in each of _____ sections.
Each section has _____ plants.
Rosa has _____ daisy plants left over.
Type below:
__________

Answer:
Rose has 125 daisy planes.
She puts an equal number in each of 3 sections.
Each section has 41 plants.
Rosa has 2 daisy plants left over.

Question 25.
One case can hold 3 boxes. Each box can hold 3 binders. How many cases are needed to hold 126 binders?
_____ cases

Answer:
14 cases

Explanation:
One case can hold 3 boxes. Each box can hold 3 binders. 3 x 3 = 9.
For 12 binders,
126/ (3 x 3) = 126/9 = 14

Question 26.
Test Prep In which place is the first digit in the quotient 1,497 ÷ 5?
Options:
a. thousands
b. hundreds
c. tens
d. ones

Answer:
b. hundreds

Explanation:
1,497 ÷ 5 = 499. The first digit 4 is in hundreds place.

Divide by 1-Digit Divisors – Share and Show – Page No. 67

Divide. Check your answer.

Question 1.
8)\(\overline { 624 } \)
Check
_____

Answer:
78

Explanation:
Divide integers 62/8 = 7
Multiply 8 x 7 = 56; Subtract 62 – 56 = 6
Write down 64 and divide integers 64/8 = 8.
Multiply 8 x 8 = 64. Subtract 64 – 64 = 0.
The remainder is 0.
So, 78 is the answer.
Check:
78 x 8 = 624;
624 = 624

Question 2.
4)\(\overline { 3,220 } \)
Check
_____

Answer:
805

Explanation:
Divide integers 32/4 = 8
Multiply 4 x 8 = 32; Subtract 32 – 32 = 0
Write down 20 and divide integers 20/4 = 5.
Multiply 4 x 5 = 20. Subtract 20 – 20 = 0.
The remainder is 0.
So, 805 is the answer.
Check:
805 x 4 = 3,220;
3,220 = 3,220.

Question 3.
4)\(\overline { 1,027 } \)
Check
_____ R _____

Answer:
256 R 3

Explanation:
Divide integers 10/4 = 2
Multiply 4 x 2 = 8; Subtract 10 – 8 = 2
Write down 22 and divide integers 22/4 = 5.
Multiply 4 x 5 = 20. Subtract 22 – 20= 2.
Write down 27 and divide integers 27/4 = 6.
Multiply 4 x 6 = 24. Subtract 27 – 24 = 3.
The remainder is 3.
So, 256 R 3.
Check:
256 x 4 = 1,024;
1,024 + 3 = 1,027.
1,027 = 1,027

On Your Own

Divide.

Question 4.
6)\(\overline { 938 } \)
_____ R _____

Answer:
156 R 2

Explanation:
Divide integers 9/6 = 1
Multiply 6 x 1 = 6; Subtract 9 – 6 = 3
Write down 33 and divide integers 33/6 = 5.
Multiply 6 x 5 = 30. Subtract 33 – 30 = 3.
Write down 38 and divide integers 38/6 = 6.
Multiply 6 x 6 = 36. Subtract 38 – 36 = 2.
The remainder is 2.
So, 156 R 2.

Question 5.
4)\(\overline { 762 } \)
_____ R _____

Answer:
190 R 2

Explanation:
Divide integers 7/4 = 1
Multiply 4 x 1 = 4; Subtract 7 – 4 = 3
Write down 36 and divide integers 36/4 = 9.
Multiply 4 x 9 = 36. Subtract 36 – 36 = 0.
Write down 2. 2 < 4; There are not enough tens
The remainder is 2.
So, 190 R 2.

Question 6.
3)\(\overline { 5,654 } \)
_____ R _____

Answer:
1884 R 2

Explanation:
Divide integers 5/3 = 1
Multiply 3 x 1 = 3; Subtract 5 – 3 = 2
Write down 26 and divide integers 26/3 = 8.
Multiply 3 x 8 = 24. Subtract 26 – 24 = 2.
Write down 25 and divide integers 25/3 = 8.
Multiply 3 x 8 = 24. Subtract 25 – 24 = 1.
Write down 14 and divide integers 14/3 = 4.
Multiply 3 x 4 = 12. Subtract 14 – 12 = 2.
The remainder is 2.
So, 1884 R 2.

Question 7.
8)\(\overline { 475 } \)
_____ R _____

Answer:
59 R 3

Explanation:
Divide integers 47/8 = 5
Multiply 8 x 5 = 40; Subtract 47 – 40 = 7
Write down 75 and divide integers 75/8 = 9.
Multiply 9 x 8 = 72. Subtract 75 – 72 = 3.
The remainder is 3.
So, 59 R 3.

Practice: Copy and Solve Divide.

Question 8.
4)\(\overline { 671 } \)
_____ R _____

Answer:
167 R 3

Explanation:
Divide integers 6/4 = 1
Multiply 4 x 1 = 4; Subtract 6 – 4 = 2
Write down 27 and divide integers 27/4 = 6.
Multiply 4 x 6 = 24. Subtract 27 – 24 = 3.
Write down 31 and divide integers 31/4 = 7.
Multiply 4 x 7 = 28. Subtract 31 – 28 = 3.
The remainder is 3.
So, 167 R 3.

Question 9.
9)\(\overline { 2,023 } \)
_____ R _____

Answer:
224 R 7

Explanation:
Divide integers 20/9 = 2
Multiply 9 x 2 = 18; Subtract 20 – 18 = 2
Write down 22 and divide integers 22/9 = 2.
Multiply 9 x 2 = 18. Subtract 22 – 18 = 4.
Write down 43 and divide integers 43/9 = 4.
Multiply 9 x 4 = 36. Subtract 43 – 36 = 7.
The remainder is 7.
So, 224 R 7.

Question 10.
3)\(\overline { 4,685 } \)
_____ R _____

Answer:
1,561 R 2

Explanation:
Divide integers 4/3 = 1
Multiply 3 x 1 = 3; Subtract 4 – 3 = 1
Write down 16 and divide integers 16/3 = 5.
Multiply 3 x 5 = 15. Subtract 16 – 15 = 1.
Write down 18 and divide integers 18/3 = 6.
Multiply 3 x 6 = 18. Subtract 18 – 18 = 0.
Write down 5 and divide integers 5/3 = 1.
Multiply 3 x 1 = 3. Subtract 5 – 3 = 2.
The remainder is 2.
So, 1,561 R 2.

Question 11.
8)\(\overline { 948 } \)
_____ R _____

Answer:
118 R 4

Explanation:
Divide integers 9/8 = 1
Multiply 8 x 1 = 8; Subtract 9 – 8 = 1
Write down 14 and divide integers 14/8 = 1.
Multiply 8 x 1 = 8. Subtract 14 – 8 = 6.
Write down 68 and divide integers 68/8 = 8.
Multiply 8 x 8 = 64. Subtract 68 – 64 = 4.
The remainder is 4.
So, 118 R 4.

Question 12.
1,326 ÷ 4 = _____ R _____

Answer:
331 R 2

Explanation:
Divide integers 13/4 = 3
Multiply 4 x 3 = 12; Subtract 13 – 12 = 1
Write down 12 and divide integers 12/4 = 3.
Multiply 4 x 3 = 12. Subtract 12 – 12 = 0.
Write down 6 and divide integers 6/4 = 1.
Multiply 4 x 1 = 4. Subtract 6 – 4 = 2.
The remainder is 2.
So, 331 R 2.

Question 13.
5,868 ÷ 6 = _____

Answer:
978

Explanation:
Divide integers 58/6 = 9
Multiply 6 x 9 = 54; Subtract 58 – 54 = 4
Write down 46 and divide integers 46/6 = 7.
Multiply 6 x 7 = 42. Subtract 46 – 42 = 4.
Write down 48 and divide integers 48/6 = 8.
Multiply 6 x 8 = 48. Subtract 48 – 48 = 0.
The remainder is 0.
So, 978.

Question 14.
566 ÷ 3 = _____ R _____

Answer:
188 R 2

Explanation:
Divide integers 5/3 = 1
Multiply 3 x 1 = 3; Subtract 5 – 3 = 2
Write down 26 and divide integers 26/3 = 8.
Multiply 3 x 8 = 24. Subtract 26 – 24 = 2.
Write down 26 and divide integers 26/3 = 8.
Multiply 3 x 8 = 24. Subtract 26 – 24 = 2.
The remainder is 2.
So, 188 R 2.

Question 15.
3,283 ÷ 9 = _____ R _____

Answer:
364 R 7

Explanation:
Divide integers 32/9 = 3
Multiply 9 x 3 = 27; Subtract 32 – 27 = 5
Write down 58 and divide integers 58/9 = 6.
Multiply 9 x 6 = 54. Subtract 58 – 54 = 4.
Write down 43 and divide integers 43/9 = 4.
Multiply 9 x 4 = 36. Subtract 43 – 36 = 7.
The remainder is 7.
So, 364 R 7.

Algebra Find the value of n in each equation. Write what n represents in the related division problem.

Question 16.
n = 4 × 58
Value of n = _______
Represents: _______

Answer:
Value of n = 232
Represents: dividend

Explanation:
n = 4 × 58;
232 = 4 x 58;
n is the dividend

Question 17.
589 = 7 × 84 + n
Value of n = _______
Represents: _______

Answer:
Value of n = 1
Represents: remainder

Explanation:
589 = 7 × 84 + n
589 = 588 + n;
589 – 588 = n;
1 = n
n is the remainder

Go Math Grade 5 Chapter 2 Assessment Question 18.
n = 5 × 67 + 3
Value of n = _______
Represents: _______

Answer:
Value of n = 338
Represents: dividend

Explanation:
n = 5 × 67 + 3
n = 335 + 3
n = 338
n is the dividend

Divide by 1-Digit Divisors – Problem Solving – Page No. 68

Use the table to solve 19–20.

Question 19.
If the Welcome gold nugget were turned into 3 equal-sized gold bricks, how many troy ounces would each brick weigh?
_____ troy ounces

Answer:
739 troy ounces

Explanation:
Welcome gold nugget = 2,217 troy ounces.
If it turned into 3 equal-sized gold bricks, 2,217/3 = 739.
739 troy ounces

Question 20.
Pose a Problem Look back at Problem 19. Write a similar problem by changing the nugget and the number of bricks. Then solve the problem.
Type below:
__________

Answer:
571 troy ounces

Explanation:
If Welcome Stranger nugget were turned into 4 equal-sized gold bricks, how many troy ounces would each brick weigh?
Welcome Stranger nugget = 2,284.
If it turned into 4 equal-sized gold bricks, 2,217/3 = 571.
571 troy ounces

Question 21.
There are 246 students going on a field trip to pan for gold. If they are going in vans that hold 9 students each, how many vans are needed? How many students will ride in the van that isn’t full?
The number of vans: _________
_________ students in the van that isn’t full

Answer:
The number of vans: 27
3 students will ride in the van that isn’t full

Explanation:
There are 246 students going on a field trip to pan for gold. If they are going in vans that hold 9 students each, 246/9 = 27 R 3
The number of vans: 27
3 students will ride in the van that isn’t full
Question 22.
One crate can hold 8 cases of trading cards. How many crates are needed to hold 128 cases of trading cards?
_____ crates

Answer:
16 crates

Explanation:
One crate can hold 8 cases of trading cards. To hold 128 cases of trading cards, 128/8 = 16 crates needed.

Question 23.
Test Prep At a bake sale, a fifth-grade class sold 324 cupcakes in packages of 6. How many packages of cupcakes did the class sell?
Options:
a. 1,944
b. 108
c. 64
d. 54

Answer:
d. 54

Explanation:
At a bake sale, a fifth-grade class sold 324 cupcakes in packages of 6. 324/6 = 54

Division with 2-Digit Divisors – Share and Show – Page No. 71

Use the quick picture to divide.

Question 1.

143 ÷ 13 = _____

Answer:

143 ÷ 13 = 11

Explanation:
143 = 100 + 40 + 3
Model the first partial quotient by making a rectangle with the hundred and 3 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10 + 10) = 100 + 30 = 130.
The rectangle shows 10 groups of 13.
Model the second partial quotient by making a line with the ten and 3 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1 + 1) = 10 + 3 = 13
130 + 13 = 143;
So, the answer is 10 + 1 = 11

Divide. Use base-ten blocks.

Question 2.
168 ÷ 12 = _____

Answer:

168 ÷ 12 = 14

Explanation:
168 ÷ 12
Model the first partial quotient by making a rectangle with the hundred and 2 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10) = 100 + 20 = 120.
The rectangle shows 10 groups of 12.
Model the second partial quotient by making a line with the ten and 2 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1) = 10 + 2 = 12.
Repeat the above step more three times to get
120 + 12 + 12 + 12 + 12 = 168;
So, the answer is 10 + 1 + 1 + 1 + 1 = 14

Question 3.
154 ÷ 14 = _____

Answer:

154 ÷ 14 = 11

Explanation:
154 ÷ 14
Model the first partial quotient by making a rectangle with the hundred and 4 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10 + 10 + 10) = 100 + 40 = 140.
The rectangle shows 10 groups of 14.
Model the second partial quotient by making a line with the ten and 4 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1 + 1 + 1) = 10 + 4 = 14.
Repeat the above step more three times to get
140 + 14 = 154;
So, the answer is 10 + 1 = 11

Question 4.
187 ÷ 11 = _____

Answer:

187 ÷ 11 = 17

Explanation:
187 ÷ 11 =
Model the first partial quotient by making a rectangle with the hundred and 1 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10) = 100 + 10 = 110.
The rectangle shows 10 groups of 11.
Model the second partial quotient by making a line with the ten and 1 ones. In the Record section, cross out the ten and ones you use.
10 + (1) = 10 + 1 = 11.
Repeat the above step more six times to get
110 + 11 + 11 + 11 + 11 + 11 + 11 + 11 = 187;
So, the answer is 10 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 17

Divide. Draw a quick picture.

Question 5.
165 ÷ 11 = _____

Answer:

165 ÷ 11 = 15

Explanation:
165 ÷ 11
Model the first partial quotient by making a rectangle with the hundred and 1 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10) = 100 + 10 = 110.
The rectangle shows 10 groups of 11.
Model the second partial quotient by making a line with the ten and 1 ones. In the Record section, cross out the ten and ones you use.
10 + (1) = 10 + 1 = 11.
Repeat the above step more four times to get
110 + 11 + 11 + 11 + 11 + 11 = 165;
So, the answer is 10 + 1 + 1 + 1 + 1 + 1 = 15

Question 6.
216 ÷ 18 = _____

Answer:

216 ÷ 18 = 12

Explanation:
216 ÷ 18
Model the first partial quotient by making a rectangle with the hundred and 8 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10 + 10 + 10 + 10 + 10 + 10 + 10) = 100 + 80 = 180.
The rectangle shows 10 groups of 18.
Model the second partial quotient by making a line with the ten and 8 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) = 10 + 8 = 18.
Repeat the above step to get
180 + 18 + 18  = 216;
So, the answer is 10 + 1 + 1 = 12

Go Math Grade 5 Lesson 2.2 Answer Key Question 7.
196 ÷ 14 = _____

Answer:

196 ÷ 14 = 14

Explanation:
196 ÷ 14
Model the first partial quotient by making a rectangle with the hundred and 4 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10 + 10 + 10) = 100 + 40 = 140.
The rectangle shows 10 groups of 14.
Model the second partial quotient by making a line with the ten and 4 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1 + 1 + 1) = 10 + 4 = 14.
Repeat the above step more three times to get
140 + 14 + 14 + 14 + 14  = 196;
So, the answer is 10 + 1 + 1 + 1 + 1 = 14

Question 8.
195 ÷ 15 = _____

Answer:

195 ÷ 15 = 13

Explanation:
195 ÷ 15
Model the first partial quotient by making a rectangle with the hundred and 5 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10 + 10 + 10 + 10) = 100 + 50 = 150.
The rectangle shows 10 groups of 15.
Model the second partial quotient by making a line with the ten and 5 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1 + 1 + 1 + 1) = 10 + 5 = 15.
Repeat the above step more three times to get
150 + 15 + 15 + 15  = 195;
So, the answer is 10 + 1 + 1 + 1 = 13

Question 9.
182 ÷ 13 = _____

Answer:

182 ÷ 13 = 14

Explanation:
182 ÷ 13
Model the first partial quotient by making a rectangle with the hundred and 3 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10 + 10 ) = 100 + 30 = 130.
The rectangle shows 10 groups of 13.
Model the second partial quotient by making a line with the ten and 3 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1 + 1) = 10 + 3 = 13.
Repeat the above step more four times to get
130 + 13 + 13 + 13 + 13 = 182;
So, the answer is 10 + 1 + 1 + 1 + 1 = 14

Question 10.
228 ÷ 12 = _____

Answer:

228 ÷ 12 = 19

Explanation:
228 ÷ 12
Model the first partial quotient by making a rectangle with the hundred and 2 tens. In the Record section, cross out the hundred and tens you use.
(10 x 10) + (10 + 10) = 100 + 20 = 120.
The rectangle shows 10 groups of 12.
Model the second partial quotient by making a line with the ten and 2 ones. In the Record section, cross out the ten and ones you use.
10 + (1 + 1) = 10 + 2 = 12.
Repeat the above step more eight times to get
120 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 228;
So, the answer is 10 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 19

Division with 2-Digit Divisors – Connect to Social Studies – Page No. 72

Pony Express

The Pony Express used men riding horses to deliver mail between St. Joseph, Missouri, and Sacramento, California, from April, 1860 to October, 1861. The trail between the cities was approximately 2,000 miles long. The first trip from St. Joseph to Sacramento took 9 days 23 hours. The first trip from Sacramento to St. Joseph took 11 days 12 hours.

Solve.

Question 11.
Suppose two Pony Express riders rode a total of 165 miles. If they replaced each horse with a fresh horse every 11 miles, how many horses would they have used?
_____ horses

Answer:
16 horses

Explanation:
Suppose two Pony Express riders rode a total of 165 miles. If they replaced each horse with a fresh horse every 11 miles. Then, 16 horses used.

Question 12.
Suppose a Pony Express rider was paid $192 for 12 weeks of work. If he was paid the same amount each week, how much was he paid for each week of work?
$ _____

Answer:
$16

Explanation:
Suppose a Pony Express rider was paid $192 for 12 weeks of work.
For each week. $192/12 = $16.

Question 13.
Suppose three riders rode a total of 240 miles. If they used a total of 16 horses, and rode each horse the same number of miles, how many miles did they ride before replacing each horse?
_____ miles

Answer:
15 miles

Explanation:
Assuming each horse was only ridden once then a total of 16 horses were ridden for a total of 240 miles
240 miles/16 horses = 15 miles/horse
if each horse was ridden more than once before being replaced the distance between replacements could be reduced.
The fact that there were 3 riders is irrelevant.

Question 14.
Suppose it took 19 riders a total of 11 days 21 hours to ride from St. Joseph to Sacramento. If they all rode the same number of hours, how many hours did each rider ride?
_____ hours

Answer:
15 hours

Explanation:
Suppose it took 19 riders a total of 11 days 21 hours to ride from St. Joseph to Sacramento.
(11 x 24 + 21)/19 = (264 + 21)/19 = 285/19 = 15 hours.

Partial Quotients – Share and Show – Page No. 75

Divide. Use partial quotients.

Question 1.
18)\(\overline { 648 } \)
_____

Answer:
36

Explanation:
Multiply 18 x 10 = 180; Subtract: 648 – 180 = 468.
partial quotient = 10
Multiply 18 x 10 = 180; Subtract: 468 – 180= 288.
partial quotient = 10
Multiply 18 x 10 = 180; Subtract: 288- 180= 108.
partial quotient = 10
Multiply 18 x 6 = 108; Subtract: 108 – 108 = 0.
partial quotient = 6;
The remainder is 0;
Add the partial quotient to find the whole number quotient;
10 + 10 + 10 + 6 = 36 R 0

Question 2.
62)\(\overline { 3,186 } \)
_____ R _____

Answer:

Explanation:
Multiply 62 x 10 = 620; Subtract: 3,186 – 620 = 2,566.
partial quotient = 10
Multiply 62 x 10 = 620; Subtract: 2,566 – 620 = 1,946.
partial quotient = 10
Multiply 62 x 10 = 620; Subtract: 1,946 – 620 = 1,326.
partial quotient = 10
Multiply 62 x 10 = 620; Subtract: 1,326 – 620 = 706.
partial quotient = 10
Multiply 62 x 10 = 620; Subtract: 706 – 620 = 86.
partial quotient = 10
Multiply 62 x 1 = 62; Subtract: 86 – 62 = 24.
partial quotient = 1
The remainder is 24;
Add the partial quotient to find the whole number quotient;
10 + 10 + 10  + 10 + 1 = 51 R 24

Question 3.
858 ÷ 57
_____ R _____

Answer:

Explanation:
Multiply 57 x 10 = 570; Subtract: 858 – 570 = 288.
partial quotient = 10
Multiply 57 x 5 = 285; Subtract: 288 – 285 = 3.
partial quotient = 5
The remainder is 3;
Add partial quotient to find the wholenumber quotient;
10 + 5 = 15 R 3

On Your Own

Divide. Use partial quotients.

Question 4.
73)\(\overline { 584 } \)
_____

Answer:
8

Explanation:
Multiply 73 x 8 = 584; Subtract: 584 – 584 = 0.
partial quotient = 8
The remainder is 0;

Question 5.
51)\(\overline { 1,831 } \)
_____ R _____

Answer:
35 R 46

Explanation:
Multiply 51 x 10 = 510; Subtract: 1,831 – 510 = 1,321.
partial quotient = 10
Multiply 51 x 10 = 510; Subtract: 1,321 – 510 = 811.
partial quotient = 10
Multiply 51 x 10 = 510; Subtract: 811 – 510 = 301.
partial quotient = 10
Multiply 51 x 5 = 255; Subtract: 301 – 255 = 46.
partial quotient = 5
The remainder is 46;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 5 = 35 R 46

Question 6.
82)\(\overline { 2,964 } \)
_____ R _____

Answer:
36 R 12

Explanation:
Multiply 82 x 10 = 820; Subtract: 2,964 – 820 = 2,144.
partial quotient = 10
Multiply 82 x 10 = 820; Subtract: 2,144 – 820 = 1,324.
partial quotient = 10
Multiply 82 x 10 = 820; Subtract: 1,324 – 820 = 504.
partial quotient = 10
Multiply 82 x 6 = 492; Subtract: 504 – 492= 12.
partial quotient = 6
The remainder is 12;
Add partial quotient to find the whole number quotient;
10 + 10 + 10 + 6 = 36 R 12

Question 7.
892 ÷ 26
_____ R _____

Answer:
34 R 8

Explanation:
Multiply 26 x 10 = 260; Subtract: 892 – 260 = 632.
partial quotient = 10
Multiply 26 x 10 = 260; Subtract: 632 – 260 = 372.
partial quotient = 10
Multiply 26 x 10 = 260; Subtract: 372 – 260 = 112.
partial quotient = 10
Multiply 26 x 4 = 104; Subtract: 112 – 104 = 8.
partial quotient = 4
The remainder is 8;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 4 = 34 R 8

Question 8.
1,056 ÷ 48
_____

Answer:
22

Explanation:
Multiply 48 x 10 = 480; Subtract: 1,056 – 480 = 576.
partial quotient = 10
Multiply 48 x 10 = 480; Subtract: 576 – 480 = 96.
partial quotient = 10
Multiply 48 x 2 = 96; Subtract: 96 – 96 = 0.
partial quotient = 2
The remainder is 0;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 2 = 22

Question 9.
2,950 ÷ 67
_____ R _____

Answer:
44 R 2

Explanation:
Multiply 67 x 10 = 670; Subtract: 2,950 – 670 = 2,280.
partial quotient = 10
Multiply 67 x 10 = 670; Subtract: 2,280 – 670 = 1,610.
partial quotient = 10
Multiply 67 x 10 = 670; Subtract: 1,610 – 670 = 940.
partial quotient = 10
Multiply 67 x 10 = 670; Subtract: 940 – 670 = 270.
partial quotient = 10
Multiply 67 x 4= 268; Subtract: 270 – 268 = 2.
partial quotient = 4
The remainder is 2;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 10 + 4 = 44 R 2

Practice: Copy and Solve Divide. Use partial quotients.

Question 10.
653 ÷ 42
_____ R _____

Answer:
15 R 23

Explanation:
Multiply 42 x 10 = 420; Subtract: 653 – 420 = 233.
partial quotient = 10
Multiply 42 x 5 = 210; Subtract: 233 – 210 = 23.
partial quotient = 5
The remainder is 23;
Add partial quotient to find the wholenumber quotient;
10 + 5 = 15 R 23

Question 11.
946 ÷ 78
_____ R _____

Answer:
12 R 10

Explanation:
Multiply 78 x 10 = 780; Subtract: 946 – 780 = 166.
partial quotient = 10
Multiply 78 x 2 = 156; Subtract: 166 – 156 = 10.
partial quotient = 2
The remainder is 10;
Add partial quotient to find the wholenumber quotient;
10 + 2 = 12 R 10

Go Math Grade 5 Lesson 2.3 Answer Key Question 12.
412 ÷ 18
_____ R _____

Answer:
22 R 16

Explanation:
Multiply 18 x 10 = 180; Subtract: 412 – 180 = 232.
partial quotient = 10
Multiply 18 x 10 = 180; Subtract: 232 – 180 = 52.
partial quotient = 10
Multiply 18 x 2 = 36; Subtract: 52 – 36 = 16.
partial quotient = 2
The remainder is 16;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 2 = 22 R 16

Question 13.
871 ÷ 87
_____ R _____

Answer:
10 R 1

Explanation:
Multiply 87 x 10 = 870; Subtract: 871 – 870 = 1.
partial quotient = 10
The remainder is 1;
10 R 1

Question 14.
1,544 ÷ 34
_____ R _____

Answer:
45 R 14

Explanation:
Multiply 34 x 10 = 340; Subtract: 1,544 – 340 = 1,204.
partial quotient = 10
Multiply 34 x 10 = 340; Subtract: 1,204 – 340 = 864.
partial quotient = 10
Multiply 34 x 10 = 340; Subtract: 864 – 340 = 524.
partial quotient = 10
Multiply 34 x 10 = 340; Subtract: 524 – 340 = 184.
partial quotient = 10
Multiply 34 x 5 = 170; Subtract: 184 – 170 = 14.
partial quotient = 5
The remainder is 14;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 10 + 5 = 45 R 14

Question 15.
2,548 ÷ 52
_____ R _____

Answer:
47 R 14

Explanation:
Multiply 52 x 10 = 520; Subtract: 2,548 – 520 = 2028.
partial quotient = 10
Multiply 52 x 10 = 520; Subtract: 2028- 520 = 1508.
partial quotient = 10
Multiply 52 x 10 = 520; Subtract: 1508- 520 = 988.
partial quotient = 10
Multiply 52 x 10 = 520; Subtract: 988 – 520 = 468.
partial quotient = 10
Multiply 52 x 9 = 468; Subtract: 468 – 468= 0.
partial quotient = 9
The remainder is 0;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 10 + 9 = 49 R 0

Question 16.
2,740 ÷ 83
_____ R _____

Answer:
33 R 1

Explanation:
Multiply 83 x 10 = 830; Subtract: 2,740 – 830= 1910.
partial quotient = 10
Multiply 83 x 10 = 830; Subtract: 1910 – 830= 1080.
partial quotient = 10
Multiply 83 x 10 = 830; Subtract: 1080 – 830= 250.
partial quotient = 10
Multiply 83 x 3 = 249; Subtract: 250 – 249 = 1.
partial quotient = 3
The remainder is 1;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 3 = 33 R 1

Question 17.
4,135 ÷ 66
_____ R _____

Answer:
62 R 43

Explanation:
Multiply 66 x 10 = 660; Subtract: 4,135 – 660 = 3475.
partial quotient = 10
Multiply 66 x 10 = 660; Subtract: 3475 – 660 = 2815.
partial quotient = 10
Multiply 66 x 10 = 660; Subtract: 2815 – 660 = 2155.
partial quotient = 10
Multiply 66 x 10 = 660; Subtract: 2155 – 660 = 1495.
partial quotient = 10
Multiply 66 x 10 = 660; Subtract: 1495 – 660 = 835.
partial quotient = 10
Multiply 66 x 10 = 660; Subtract: 835 – 660 = 175.
partial quotient = 10
Multiply 66 x 2 = 132; Subtract: 175 – 132 = 43.
partial quotient = 2
The remainder is 43;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 10 + 10 + 10 + 2 = 62 R 43

Partial Quotients – Problem Solving – Page No. 76

Use the table to solve 18–20 and 22.

Question 18.
How many years would it take for a person in the United States to eat 855 pounds of apples?
_____ years

Answer:
45 years

Explanation:
Each year a person eats 19 pounds of apples. So, to eat 855 pounds of apples, it takes 855/19 = 45 years.

Question 19.
How many years would it take for a person in the United States to eat 1,120 pounds of turkey?
_____ years

Answer:
80 years

Explanation:
Each year a person eats 14 pounds of turkey. So, to eat 1,120 pounds of turkey, it takes 1,120/14 = 80 years.

Question 20.
If 6 people in the United States each eat the average amount of popcorn for 5 years, how many quarts of popcorn will they eat?
_____ quarts

Answer:
2,040 quarts

Explanation:
1 person eats 68 quarts of popcorn each year. 6 people = 6 x 68 quarts of popcorn = 408 quarts of popcorn for each year.
For 5 years, they will eat popcorn = 5 x 408 = 2,040 quarts

Question 21.
In a study, 9 people ate a total of 1,566 pounds of potatoes in 2 years. If each person ate the same amount each year, how many pounds of potatoes did each person eat in 1 year?
_____ pounds

Answer:
87 pounds

Explanation:
9 people ate a total of 1,566 pounds of potatoes in 2 years. If each person ate the same amount each year, 1,566/2 = 783.
To calculate how many pounds of potatoes did each person eat in 1 year, 783/9 = 87 pounds.

Question 22.
Sense or Nonsense? In the United States, a person eats more than 40,000 pounds of bread in a lifetime if he or she lives to be 80 years old. Does this statement make sense, or is it nonsense? Explain.
__________

Answer:
nonsense; 40,000 pounds / 80 years = 4,000 pounds / 8 years = 2,000 pounds (1 ton) / 4 years = 1,000 pounds / 2 years = 1,000 pounds / 2 years = 500 pounds per year = almost 1 and 1/2 pounds of bread every day of your life.

Question 23.
Test Prep The school auditorium has 448 seats arranged in 32 equal rows. How many seats are in each row?
Options:
a. 14,336
b. 480
c. 416
d. 14

Answer:
d. 14

Explanation:
The school auditorium has 448 seats arranged in 32 equal rows.
Each row = 448/32 = 14

Mid-Chapter Checkpoint – Page No. 77

Concepts and Skills

Question 1.
Explain how estimating the quotient helps you place the first digit in the quotient of a division problem.
Type below:
__________

Answer:
Let’s do 5980 divided by 347
Estimate: 6000/300 = 20
So, I now know my first digit will go into the 10’s place
or 57890 divided by 34
that is 60,000 divided by 30 = 2000
my first digit goes into the thousands place.

Question 2.
Explain how to use multiplication to check the answer to a division problem.
Type below:
__________

Answer:
Take 739/9 = 82 R 1.
Check: 9 x 82 + 1 = 739.
divisor x quotient + remainder = dividend.

Divide.

Question 3.
633 ÷ 3 = _____

Answer:
211

Explanation:
Divide integers 6/3 = 2
Multiply 3 x 2 = 6; Subtract 6 – 6 = 0
Write down 3 and divide integers 3/3 = 1.
Multiply 3 x 1 = 3. Subtract 3 – 3 = 0.
Write down 3 and divide integers 3/3 = 1.
Multiply 3 x 1 = 3. Subtract 3 – 3 = 0.
The remainder is 0.
So, 211 is the answer.

Question 4.
487 ÷ 8 = _____ R _____

Answer:
60 R 7

Explanation:
Divide integers 48/8 = 6
Multiply 8 x 6 = 48; Subtract 48 – 48 = 0
Write down 7;7 < 8.
The remainder is 7.
So, 60 R 7.

Question 5.
1,641 ÷ 4 = _____ R _____

Answer:
410 R 1

Explanation:
Divide integers 16/4 = 4
Multiply 4 x 4 = 16; Subtract 16 – 16 = 0
Write down 4 and divide integers 4/4 = 1.
Multiply 4 x 1 = 4; Subtract 4 – 4 = 0
Write down 1; 1<4
The remainder is 1.
So, 410 R 1.

Question 6.
2,765 ÷ 9 = _____ R _____

Answer:
307 R 2

Explanation:
Divide integers 27/9 = 3
Multiply 9 x 3 = 27; Subtract 27 – 27 = 0
Write down 65 and divide integers 65/9 = 7.
Multiply 9 x 7 = 63. Subtract 65 – 63 = 2.
The remainder is 2.
So, 307 R 2.

Divide. Use partial quotients.

Question 7.
156 ÷ 13 = _____

Answer:
12

Explanation:
Multiply 13 x 10 = 130; Subtract: 156 – 130 = 26.
partial quotient = 10
Multiply 13 x 2 = 26; Subtract: 26 – 26 = 0.
partial quotient = 2
The remainder is 0;
Add the partial quotient to find the whole number quotient;
10 +2 = 12 R 0

Question 8.
318 ÷ 53 = _____

Answer:
6

Explanation:
Multiply 53 x 6 = 318; Subtract: 318 – 318= 0.
partial quotient = 6
The remainder is 0;
quotient = 6

Question 9.
1,562 ÷ 34 =
_____ r _____

Answer:
45 R 32

Explanation:
Multiply 34  x 10 = 340; Subtract: 1,562 – 340 = 1,222.
partial quotient = 10
Multiply 34  x 10 = 340; Subtract: 1,222 – 340 = 882.
partial quotient = 10
Multiply 34  x 10 = 340; Subtract: 882 – 340 = 542.
partial quotient = 10
Multiply 34  x 10 = 340; Subtract: 542 – 340 = 202.
partial quotient = 10
Multiply 34  x 5 = 170; Subtract: 202 – 170 = 32.
partial quotient = 5
The remainder is 32;
Add partial quotient to find the whole number quotient;
10 + 10 + 10 + 10 + 5 = 45 R 32

Question 10.
4,024 ÷ 68 =
_____ r _____

Answer:
59 R 12

Explanation:
Multiply 68 x 10 = 680; Subtract: 4,024 – 680 = 3,344.
partial quotient = 10
Multiply 68 x 10 = 680; Subtract: 3,344 – 680= 2664.
partial quotient = 10
Multiply 68 x 10 = 680; Subtract: 2664 – 680 = 1984.
partial quotient = 10
Multiply 68 x 10 = 680; Subtract: 1984 – 680= 1304.
partial quotient = 10
Multiply 68 x 10 = 680; Subtract: 1304 – 680 = 624.
partial quotient = 10
Multiply 68 x 9 = 612; Subtract: 624 – 612 = 12.
partial quotient = 9
The remainder is 12;
Add partial quotient to find the wholenumber quotient;
10 + 10 + 10 + 10 + 10 + 9 = 59 R 12

Mid-Chapter Checkpoint – Page No. 78

Question 11.
Emma is planning a party for 128 guests. If 8 guests can be seated at each table, how many tables will be needed for seating at the party?
_____ tables

Answer:
16 tables

Explanation:
Emma is planning a party for 128 guests. If 8 guests can be seated at each table 128/8 = 16.

Question 12.
Tickets for the basketball game cost $14 each. If the sale of the tickets brought in $2,212, how many tickets were sold?
_____ tickets

Answer:
158 tickets

Explanation:
Tickets for the basketball game cost $14 each. If the sale of the tickets brought in $2,212, $2,212/$14 = 158

Question 13.
Margo used 864 beads to make necklaces for the art club. She made 24 necklaces with the beads. If each necklace has the same number of beads, how many beads did Margo use for each necklace?
_____

Answer:
36 beads

Explanation:
Margo used 864 beads to make necklaces for the art club. She made 24 necklaces with the beads. If each necklace has the same number of beads, 864/24 = 36 beads

Go Math Grade 5 Chapter 2 Test Pdf Question 14.
Angie needs to buy 156 candles for a party. Each package has 8 candles. How many packages should Angie buy?
_____ packages

Answer:
20 packages

Explanation:
Angie needs to buy 156 candles for a party. Each package has 8 candles.
156/8 = 20

Question 15.
Max delivers 8,520 pieces of mail in one year. About how many pieces of mail does he deliver in 2 months? Explain your steps.
_____ pieces

Answer:
1,420 pieces

Explanation:
Max delivers 8,520 pieces of mail in one year.
So, for 12 months, 8,520/12 = 710.
To deliver in 2 months, 710 x 2 = 1,420

Share and Show – Page No. 81

Use compatible numbers to find two estimates.

Question 1.
22)\(\overline { 154 } \)
140 ÷ 20 = _____
160 ÷ 20 = _____
Estimate: _____ ; _____

Answer:
140 ÷ 20 = 7
160 ÷ 20 = 8
Estimate: 7 ; 8

Explanation:
Two sets of compatible numbers to find two different estimates are
140 ÷ 20
14 ÷ 2 = 7
140 ÷ 20 = 7
160 ÷ 20
16 ÷ 2 = 8
160 ÷ 20  = 8

Question 2.
68)\(\overline { 503 } \)
Estimate: _____ ; _____

Answer:
476 ÷ 68= 7
544 ÷ 68 = 8
Estimate: 7 ; 8

Explanation:
Multiples of 68:
68 136 204 272 340 408 476 544
Find multiples that are close to the dividend. Use either or both numbers to estimate the quotient.
476/68 = 7
544/68 = 8
The quotient is between 7 and 8.

Question 3.
81)\(\overline { 7,052 } \)
Estimate: _____ ; _____

Answer:
6400 ÷ 80 = 80
7200 ÷ 80 = 90
Estimate: 80 ; 90

Explanation:
6400/80
64/8 = 8
640 / 80 = 8
6400/80 = 800
7200/80
72/8 = 9
720/80 =9
7200/80 = 90
Estimate: 80, 90

Question 4.
33)\(\overline { 291 } \)
Estimate: _____ ; _____

Answer:
240 ÷ 30= 8
270 ÷ 30 = 9
Estimate: 8 ; 9

Explanation:
240/30
24/3 = 8
240/30 = 8
270/30
27/3 = 9
270/30 = 9
Estimate: 8, 9

Question 5.
58)\(\overline { 2,365 } \)
Estimate: _____ ;

Answer:
2400 ÷ 60= 40
3000 ÷ 60 = 50
Estimate: 40 ; 50

Explanation:
2400/60
24/6 = 4
240/60 = 4
2400/60 = 40
3000/60
30/6 = 5
300/60 = 5
3000/60 = 50
Estimate: 40, 50

Question 6.
19)\(\overline { 5,312 } \)
Estimate: _____ ; _____

Answer:
5300 ÷ 20= 7
5320 ÷ 20 = 8
Estimate: 265 ; 266

Explanation:
5300/20
5300/20 = 265
5320/20
5320/20 = 266

On Your Own

Use compatible numbers to find two estimates.

Question 7.
42)\(\overline { 396 } \)
Estimate: _____ ; _____

Answer:
360 ÷ 40 = 9
400 ÷ 40 = 10
Estimate: 9 ; 10

Explanation:
360/40 = 9
400/40 = 10
Estimate: 9,10

Question 8.
59)\(\overline { 413 } \)
Estimate: _____ ; _____

Answer:
420 ÷ 60= 7
480 ÷ 60 = 8
Estimate: 7 ; 8

Explanation:
420/60 = 7
480/60 = 8

Question 9.
28)\(\overline { 232 } \)
Estimate: _____ ; _____

Answer:
240 ÷ 30 = 8
270÷ 30 = 9
Estimate: 8 ; 9

Explanation:
240/30 = 8
270/30 = 9
Estimate: 8 ; 9

How To Divide 5th Grade Lesson 2.3 Question 10.
22)\(\overline { 368 } \)
Estimate: _____ ; _____

Answer:
320 ÷ 20= 16
340 ÷ 20 = 17
Estimate: 16 ; 17

Explanation:
320/20 = 16
340/20 = 17
Estimate: 16 ; 17

Question 11.
78)\(\overline { 375 } \)
Estimate: _____ ; _____

Answer:
320 ÷ 80 = 4
400 ÷ 80 = 5
Estimate: 4 ; 5

Explanation:
320/80 = 4
400/80 = 5
Estimate: 16 ; 17

Question 12.
88)\(\overline { 6,080 } \)
Estimate: _____ ; _____

Answer:
6210÷ 90= 69
6300 ÷ 90 = 70
Estimate: 69 ; 70

Explanation:
6210/90 = 69
6300/90 = 70

Question 13.
5,821 ÷ 71
Estimate: _____ ; _____

Answer:
5180 ÷ 70 = 74
5250÷ 70 = 75
Estimate: 74 ; 75

Explanation:
5180/70 = 74
5250/70 = 75
Estimate: 74 ; 75

Question 14.
1,565 ÷ 67
Estimate: _____ ; _____

Answer:
1610 ÷ 70 = 23
1680 ÷ 70 = 24
Estimate: 23 ; 24

Explanation:
1610/70 = 23
1680/70 = 24
Estimate: 23 ; 24

Question 15.
7,973 ÷ 91
Estimate: _____ ; _____

Answer:
476 ÷ 90 = 87
544 ÷ 90 = 88
Estimate: 87 ; 88

Explanation:
6960/90 = 87
7920/90 = 88
Estimate: 87 ; 88

Use compatible numbers to estimate the quotient.

Question 16.
19)\(\overline { 228 } \)
Estimate: _____

Answer:
240 ÷ 20 = 12
260 ÷ 20 = 13
Estimate: 12 ; 13

Explanation:
240/20 = 12
260/20 = 13
Estimate: 12 ; 13

Question 17.
25)\(\overline { $595 } \)
Estimate: $ _____

Answer:
575 ÷ 25 = 23
600 ÷ 25 = 24
Estimate: 23 ; 24

Explanation:
575/25 = 23
600/25 = 24
Estimate: 23 ; 24

Question 18.
86)\(\overline { 7,130 } \)
Estimate: _____

Answer:
7380 ÷ 90 = 82
7470 ÷ 90 = 83
Estimate: 82 ; 83

Explanation:
7380/90 = 82
7470/90 = 83
Estimate: 82 ; 83

Question 19.
83)\(\overline { 462 } \)
Estimate: _____

Answer:
400 ÷ 80 = 5
480 ÷ 80 = 6
Estimate: 5 ; 6

Explanation:
400/80 = 5
480/80 = 6
Estimate: 5 ; 6

Question 20.
27)\(\overline { 9,144 } \)
Estimate: _____

Answer:
10,140 ÷ 30 = 338
10,170 ÷ 30 = 339
Estimate: 338 ; 339

Explanation:
10,140/30 = 338
10,170/30 = 339
Estimate: 338 ; 339

Question 21.
68)\(\overline { 710 } \)
Estimate: _____

Answer:
700 ÷ 70 = 10
770 ÷ 70 = 11
Estimate: 10 ; 11

Explanation:
700/70 = 10
770/70 = 11
Estimate: 10 ; 11

Question 22.
707 ÷ 36
Estimate: _____

Answer:
760 ÷ 40 = 19
800 ÷ 40 = 20
Estimate: 19 ; 20

Explanation:
760/40 = 19
800/40 = 20
Estimate: 19 ; 20

Question 23.
1,198 ÷ 41
Estimate: _____

Answer:
1160 ÷ 40 = 29
1200 ÷ 40 = 30
Estimate: 29 ; 30

Explanation:
1160/40 = 29
1200/40 = 30
Estimate: 29 ; 30

Question 24.
5,581 ÷ 72
Estimate: _____

Answer:
5390 ÷ 70 = 77
5460 ÷ 70 = 78
Estimate: 77 ; 78

Explanation:
5390/70 = 77
5460/70 = 78
Estimate: 77 ; 78

Problem Solving – Page No. 82

Use the picture to solve 25–26.

Question 25.
About how many meters tall is each floor of the Williams Tower?
_____ m

Answer:
4.29 meters

Explanation:
Williams Tower has 275 meters and 64 floors.
275/64 = 4.29 meters

Question 26.
About how many meters tall is each floor of the Chrysler Building?
_____ m

Answer:
4.142 m

Explanation:
Chrysler Building has 319 meters and 77 floors
319/77 = 4.142

Question 27.
Eli needs to save $235. To earn money, he plans to mow lawns and charge $21 for each. Write two estimates Eli could use to determine the number of lawns he needs to mow. Decide which estimate you think is the better one for Eli to use. Explain your reasoning.
Type below:
__________

Answer:
220/20 = 11

Explanation:
Calculate $235/$21
210/21 = 10
220/20 = 11
number 220 is closer to 235. So, the better estimate is 220/20 = 11.

Question 28.
Explain how you know whether the quotient of 298 ÷ 31 is closer to 9 or to 10.
Type below:
__________

Answer:
270/30 = 9
310/31 = 10
298 is closer to 270. So, the quotient is closer to 9 than 10.

Question 29.
Test Prep Anik built a tower of cubes. It was 594 millimeters tall. The height of each cube was 17 millimeters. About how many cubes did Anik use?
Options:
a. 10
b. 16
c. 30
d. 300

Answer:
c. 30

Explanation:
594/17
540/18 = 30
600/15 = 40
So, Anik use 30 cubes

Share and Show – Page No. 85

Divide. Check your answer.

Question 1.
28)\(\overline { 620 } \)
_____ R _____

Answer:
22 R 4

Explanation:
Divide integers 62/28 = 2
Multiply 28 x 2 = 56; Subtract 62 – 56 = 6
Write down 60 and divide integers 60/28 = 2.
Multiply 28 x 2 = 56. Subtract 60 – 56 = 4.
The remainder is 4.
So, 22 R 4.
Check:
22 x 28 = 616;
616 + 4 = 620
620 = 620

Question 2.
64)\(\overline { 842 } \)
_____ R _____

Answer:
13 R 10

Explanation:
Divide integers 84/64 = 1
Multiply 64 x 1 = 64; Subtract 84 – 64 = 20
Write down 202 and divide integers 202/64 = 3.
Multiply 64 x 3 = 192. Subtract 202 – 192  = 10.
The remainder is 10.
So, 13 R 10.
Check:
64 x 13 = 832;
832 + 10 = 842
842 = 842

Go Math Grade 5 Lesson 2.4 Answer Key Question 3.
53)\(\overline { 2,340 } \)
_____ R _____

Answer:
44 R 8

Explanation:
Divide integers 234/53 = 4
Multiply 53 x 4 = 212; Subtract 234 – 212 = 22
Write down 220 and divide integers 220/53 = 4.
Multiply 53 x 4 = 212. Subtract 220 – 212 = 8.
The remainder is 8.
So, 44 R 8.
Check:
53 x 44 = 2332;
2332 + 8 = 2340
2340 = 2340

Question 4.
723 ÷ 31
_____ R _____

Answer:
23 R 10

Explanation:
Divide integers 72/31 = 2
Multiply 31 x 2 = 62; Subtract 72 – 62 = 10
Write down 103 and divide integers 103/31 = 3.
Multiply 31 x 3 = 93. Subtract 103 – 93 = 10.
The remainder is 10.
So, 23 R 10.
Check:
31 x 23 = 713;
713 + 10 = 723
723 = 723

Question 5.
1,359 ÷ 45
_____ R _____

Answer:
30 R 9

Explanation:
Divide integers 135/45 = 3
Multiply 45 x 3 = 62; Subtract 135 – 135 = 0
Write down 9; 9<45
The remainder is 9.
So, 30 R 9.
Check:
45 x 30 = 1350;
1350 + 9 = 1359
1359 = 1359

Question 6.
7,925 ÷ 72
_____ R _____

Answer:
110 R 5

Explanation:
Divide integers 79/72 = 1
Multiply 72 x 1 = 72; Subtract 79 – 72 = 7
Write down 72 and divide integers 72/72= 1.
Multiply 72 x 1 = 72; Subtract 72 – 72 = 0
Write down 5; 5<72
The remainder is 5.
So, 110 R 5.
Check:
72 x 110 = 7920;
7920 + 5 = 7925
7925 = 7925

On Your Own

Divide. Check your answer.

Question 7.
16)\(\overline { 346 } \)
_____ R _____

Answer:

Explanation:
Divide integers 34/16 = 2
Multiply 16 x 2 = 32; Subtract 34 – 32 = 2
Write down 26 and divide integers 26/16= 1.
Multiply 16 x 1 = 16; Subtract 26 – 16 = 10
The remainder is 10.
So, 21 R 10.
Check:
16 x 21 = 336;
336 + 10 = 346
346 = 346

Question 8.
34)\(\overline { 241 } \)
_____ R _____

Answer:
7 R 3

Explanation:
Divide integers 241/34 = 7
Multiply 34 x 7 = 238; Subtract 241 – 238= 3
The remainder is 3.
So, 7 R 3
Check:
34  x 7 = 238;
238 + 3 = 241
241 = 241

Question 9.
77)\(\overline { 851 } \)
_____ R _____

Answer:
11 R 4

Explanation:
Divide integers 85/77 = 1
Multiply 77 x 1 = 77; Subtract 85  – 77 = 8
Write down 81 and divide integers 81/77= 1.
Multiply 77 x 1 = 77; Subtract 81 – 77 = 4
The remainder is 4.
So, 11 R 4.
Check:
77 x 11 = 847;
847 + 4 = 851
851 = 851

Question 10.
21)\(\overline { 1,098 } \)
_____ R _____

Answer:
52 R 6

Explanation:
Divide integers 109/21 = 5
Multiply 21 x 5 = 105; Subtract 109 – 105= 4
Write down 48 and divide integers 48/21 = 2.
Multiply 21 x 2 = 42; Subtract 48 – 42 = 6
The remainder is 6.
So, 52 R 6.
Check:
21 x 52 = 1092;
1092 + 6 = 1098
1098 = 1098

Question 11.
32)\(\overline { 6,466 } \)
_____ R _____

Answer:
202 R 2

Explanation:
Divide integers 64/32= 2
Multiply 32 x 2 = 64; Subtract 64 – 64 = 0
Write down 66 and divide integers 66/32 = 2.
Multiply 32 x 2 = 64; Subtract 66 – 64 = 2
The remainder is 2.
So, 202 R 2.
Check:
32 x 202 = 6464;
6464 + 2 = 6466
6466 = 6466

Question 12.
45)\(\overline { 9,500 } \)
_____ R _____

Answer:
211 R 5

Explanation:
Divide integers 95/45 = 2
Multiply 45 x 2 = 90; Subtract 95 – 90 = 5
Write down 50 and divide integers 50/45 = 1.
Multiply 45 x 1 = 45; Subtract 50 – 45 = 5
Write down 50 and divide integers 50/45 = 1.
Multiply 45 x 1 = 45; Subtract 50 – 45 = 5
The remainder is 5.
So, 211 R 5.
Check:
45 x 211 = 9495;
9495 + 5 = 9500
9500 = 9500

Question 13.
483 ÷ 21
_____

Answer:
23

Explanation:
Divide integers 48/21 = 2
Multiply 21 x 2 = 42; Subtract 48 – 42 = 6
Write down 63 and divide integers 63/21 = 3.
Multiply 21 x 3 = 63; Subtract 63 – 63 = 0
The remainder is 0.
So, 23 R 0.
Check:
23 x 21 = 483;
483 = 483

Question 14.
2,292 ÷ 19
_____ R _____

Answer:
120 R 12

Explanation:
Divide integers 22/19 = 1
Multiply 19 x 1 = 19; Subtract 22  – 19 = 3
Write down 39 and divide integers 39/19 = 2.
Multiply 19 x 2 = 38; Subtract 39 – 38 = 1
Write down 12; 12<19
The remainder is 12.
So, 120 R 12.
Check:
19 x 120 = 2280;
2280 + 12 = 2,292
2,292 = 2,292

Question 15.
4,255 ÷ 30
_____ R _____

Answer:
141 R 25

Explanation:
Divide integers 42/30 = 1
Multiply 30 x 1 = 30; Subtract 42 – 30 = 12
Write down 125 and divide integers 125/30 = 4.
Multiply 30 x 4 = 120; Subtract 125 – 120 = 5
Write down 55 and divide integers 55/30 = 1.
Multiply 30 x 1 = 30; Subtract 55 – 30 = 25
The remainder is 25.
So, 141 R 25.
Check:
30 x 141 = 4230;
4230 + 25 = 4,255
4,255 = 4,255

Practice: Copy and Solve Divide. Check your answer.

Question 16.
775 ÷ 35
_____ R _____

Answer:
22 R 5

Explanation:
Divide integers 77/35 = 2
Multiply 35 x 2 = 70; Subtract 77 – 70 = 7
Write down 75 and divide integers 75/35 = 2.
Multiply 35 x 2 = 70; Subtract 75 – 70 = 5
The remainder is 5.
So, 22 R 5.
Check:
22 x 35 = 770;
770 + 5 = 775
775 = 775

Go Math Grade 5 Student Edition Question 17.
820 ÷ 41
_____

Answer:
20

Explanation:
Divide integers 82/41 = 2
Multiply 41 x 2 = 82; Subtract 82 – 82= 0
The remainder is 0.
So, 20 R 0.
Check:
41 x 20 = 820;
820 = 820

Question 18.
805 ÷ 24
_____ R _____

Answer:
33 R 13

Explanation:
Divide integers 80/24 = 3
Multiply 24 x 3 = 72; Subtract 80 – 72 = 8
Write down 85 and divide integers 85/24 = 3.
Multiply 24 x 3 = 72; Subtract 85 – 72 = 13
The remainder is 13.
So, 33 R 13.
Check:
24 x 33 = 792;
792 + 13 = 805
805 = 805

Question 19.
1,166 ÷ 53
_____ R _____

Answer:
22 R 0

Explanation:
Divide integers 116/53 = 2
Multiply 53 x 2 = 106; Subtract 116 – 106= 10
Write down 106 and divide integers 106/53 = 2.
Multiply 53 x 2 = 106; Subtract 106 – 106= 0
The remainder is 0.
So, 22 R 0.
Check:
53 x 22 = 1166;
1166 = 1166

Question 20.
1,989 ÷ 15
_____ R _____

Answer:
132 R 9

Explanation:
Divide integers 19/15 = 1
Multiply 15 x 1 = 15; Subtract 19 – 15 = 4
Write down 48 and divide integers 48/15 = 3.
Multiply 15 x 3 = 45; Subtract 48 – 45 = 3
Write down 39 and divide integers 39/15 = 2.
Multiply 15 x 2 = 30; Subtract 39 – 30= 9
The remainder is 9.
So, 132 R 9.
Check:
15 x 132 = 1980;
1980 + 9 = 1989
1989 = 1989

Question 21.
3,927 ÷ 35
_____ R _____

Answer:
112 R 7

Explanation:
Divide integers 39/35 = 1
Multiply 35 x 1 = 35; Subtract 39 – 35 = 4
Write down 42 and divide integers 42/35 = 1.
Multiply 35 x 1 = 35; Subtract 42 – 35 = 7
Write down 77 and divide integers 77/35 = 2.
Multiply 35 x 2 = 70; Subtract 77 – 70 = 7
The remainder is 7.
So, 112 R 7.
Check:
35 x 112 = 3920;
3920 + 7 = 3927
3927 = 3927

Problem Solving – Page No. 86

Use the list at the right to solve 22–24.

Question 22.
A smoothie shop receives a delivery of 980 ounces of grape juice. How many Royal Purple smoothies can be made with the grape juice?
_____ smoothies

Answer:
45 smoothies

Explanation:
A smoothie shop receives a delivery of 980 ounces of grape juice.
980 ounces of grape juice/22 ounces of grape juice = 45

Question 23.
The shop has 1,260 ounces of cranberry juice and 650 ounces of passion fruit juice. If the juices are used to make Crazy Cranberry smoothies, which juice will run out first? How much of the other juice will be left over?
Type below:
_________

Answer:
The shop has 1,260 ounces of cranberry juice and 650 ounces of passion fruit juice. If the juices are used to make Crazy Cranberry smoothies, passion fruit juice will run out first.
Because 650<1,260. So, passion fruit juice will run out first.
1,260 – 650 =610 Crazy Cranberry juice will be left over.

Question 24.
In the refrigerator, there are 680 ounces of orange juice and 410 ounces of mango juice. How many Orange Tango smoothies can be made? Explain your reasoning.
_____ smoothies

Answer:
In the refrigerator, there are 680 ounces of orange juice and 410 ounces of mango juice.
So, 410 Orange Tango smoothies can be made. Because there are 410 ounces of mango juices available.

Question 25.
Test Prep James has 870 action figures. He decides to divide them equally among 23 boxes. How many action figures will James have left over?
Options:
a. 19
b. 23
c. 31
d. 37

Answer:
d. 37

Explanation:
James has 870 action figures. He decides to divide them equally among 23 boxes.
870/23 = 37

Share and Show – Page No. 89

Interpret the remainder to solve.

Question 1.
Erika and Bradley want to hike the Big Cypress Trail. They will hike a total of 75 miles. If Erika and Bradley plan to hike for 12 days, how many miles will they hike each day?

a. Divide to find the quotient and remainder.
_____ R _____

Answer:
6 R 3

Explanation:
75/12 = 6
The remainder is 3
6 R 3

Question 1.
b. Decide how to use the quotient and remainder to answer the question.
Type below:
_________

Answer:
75/12 = 6  1/4
So, Each day they will hike 6\(\frac{1}{4}\) miles.

Question 2.
What if Erika and Bradley want to hike 14 miles each day? How many days will they hike exactly 14 miles?
_____ days

Answer:
196 days

Explanation:
If Erika and Bradley want to hike 14 miles each day, 14 x 14 = 196 days

Question 3.
Dylan’s hiking club is planning to stay overnight at a camping lodge. Each large room can hold 15 hikers. There are 154 hikers. How many rooms will they need?
_____ rooms

Answer:
11 rooms

Explanation:
Dylan’s hiking club is planning to stay overnight at a camping lodge. Each large room can hold 15 hikers. There are 154 hikers.
So, 154/15 = 10 and the remainder is 4.
Dylan’s hiking club require 10 rooms for 150 hikers and other room for 4 hikers. So, in total they need 10 + 1 = 11 rooms.

On Your Own

Interpret the remainder to solve.

Question 4.
The students in a class of 24 share 84 cookies equally among them. How many cookies did each student eat?
_____ \(\frac{□}{□}\) cookies

Answer:
3\(\frac{1}{2}\) cookies

Explanation:
The students in a class of 24 share 84 cookies equally among them.
So, 84/24 = 3\(\frac{12}{24}\) = 3\(\frac{1}{2}\)

Question 5.
A campground has cabins that can each hold 28 campers. There are 148 campers visiting the campground. How many cabins are full if 28 campers are in each cabin?
_____ cabins

Answer:
5\(\frac{1}{7}\) cabins

Explanation:
A campground has cabins that can each hold 28 campers. There are 148 campers visiting the campground.
184/28 = 5\(\frac{1}{7}\)

Question 6.
A total of 123 fifth-grade students are going to Fort Verde State Historic Park. Each bus holds 38 students. All of the buses are full except one. How many students will be in the bus that is not full?
_____ students

Answer:
9 students

Explanation:
A total of 123 fifth-grade students are going to Fort Verde State Historic Park. Each bus holds 38 students.
123/38 = 3 and the remainder is 9.
3 x 38 = 114 students. 1 bus is not full.
So, 9 students will be in the bus that is not full

Question 7.
What’s the Error? Sheila is going to divide a 36-inch piece of ribbon into 5 equal pieces. She says each piece will be 7 inches long.
Type below:
_________

Answer:
Sheila is going to divide a 36-inch piece of ribbon into 5 equal pieces.
36/5 = 7\(\frac{1}{5}\). She said each piece will be 7 inches long and forgot about \(\frac{1}{5}\) part.

UNLOCK the Problem – Page No. 90

Question 8.
Maureen has 243 ounces of trail mix. She puts an equal number of ounces in each of 15 bags. How many ounces of trail mix does Maureen have left over?
a. What do you need to find?

Answer:
We need to find how many ounces of trail mix does Maureen have left over?

Question 8.
b. How will you use division to find how many ounces of trail mix are left over?
Type below:
_________

Answer:
The division is 243/15

Question 8.
c. Show the steps you use to solve the problem.
Type below:
_________

Answer:
243/15
Divide integers 24/15 = 1
Multiply 15 x 1 = 15; Subtract 24 – 15 = 9
Write down 93 and divide integers 93/3 = 6.
Multiply 15 x 6 = 90. Subtract 93 – 90 = 3.
The remainder is 3.
So, 16 R 3.

Question 8.
d. Complete the sentences.
Maureen has _______ ounces of trail mix.
She puts an equal number in each of _______ bags.
Each bag has _______ ounces.
Maureen has _______ ounces of trail mix left over.
Type below:
_________

Answer:
Maureen has 243 ounces of trail mix.
She puts an equal number in each of 15 bags.
Each bag has 16 ounces.
Maureen has 3 ounces of trail mix left over.

Question 8.
e. Fill in the bubble completely to show your answer.
Options:
a. 3 ounces
b. 15 ounces
c. 16 ounces
d. 17 ounces

Answer:
c. 16 ounces

Question 9.
Mr. Field wants to give each of his 72 campers a certificate for completing an obstacle course. If there are 16 certificates in one package, how many packages will Mr. Field need?
Options:
a. 4
b. 5
c. 16
d. 17

Answer:
b. 5

Explanation:
Mr. Field wants to give each of his 72 campers a certificate for completing an obstacle course. If there are 16 certificates in one package, 72/16 = 4.5

Question 10.
James has 884 feet of rope. There are 12 teams of hikers. If James gives an equal amount of rope to each team, how much rope will each team receive?
Options:
a. 12
b. 73
c. 73 \(\frac{2}{3}\)
d. 74

Answer:
b. 73

Explanation:
James has 884 feet of rope. There are 12 teams of hikers. If James gives an equal amount of rope to each team, 884/12 = 73

Share and Show – Page No. 92

Adjust the estimated digit in the quotient, if needed. Then divide.

Question 1.
4
41)\(\overline { 1,546 }\)
_____ R _____

Answer:
37 R 29

Explanation:
41 x 4 = 164; Subtract: 154 – 164
the estimate too high.
Change the quotient to 3
41 x 3 = 123; Subtract: 154 – 123 = 31
Write down 316 and divide integers 316/41
41 x 7 = 287; Subtract: 316 – 287 = 29
37 R 29

Question 2.
2
16)\(\overline { 416 }\)
_____

Answer:
26

Explanation:
16 x 2 = 32; Subtract: 41 – 32 = 9
Write down 96 and divide integers 96/16
16 x 6 = 96; Subtract: 96 – 96 = 0
26

Question 3.
9
34)\(\overline { 2,831 }\)
_____ R _____

Answer:
83 R 9

Explanation:
34 x 9 = 306; Subtract: 283 – 306
the estimate too high.
Change the quotient to 8
34 x 8 = 272; Subtract: 283 – 272 = 11
Write down 111 and divide integers 111/34
34 x 3 = 102; Subtract: 111 – 102 = 9
83 R 9

Divide.

Question 4.
19)\(\overline { 915 }\)
_____ R _____

Answer:
48 R 3

Explanation:
900/18 = 50
19 x  5 = 95; Subtract: 91 – 95
the estimate too high.
Change the quotient to 4
19 x  4 = 76; Subtract: 91 – 76 = 15
Write down 155 and divide integers 155/19
19 x 7 = 133; Subtract: 155 – 133 = 22
22 > 19;
So Change the quotient to 8
19 x 8 = 152; Subtract: 155 – 152 = 3
48 R 3

Question 5.
28)\(\overline { 1,825 }\)
_____ R _____

Answer:

Explanation:
1800/30 = 60
28 x 6 = 168; Subtract: 182 – 168 = 14
Write down 145 and divide integers 145/28
28 x 5 = 140; Subtract: 145 – 140 = 5
65 R 5

Question 6.
45)\(\overline { 3,518 }\)
_____ R _____

Answer:

Explanation:
3600/40 = 90
45 x 9 = 405; Subtract: 351 – 405
the estimate too high.
Change the quotient to 7
45 x 7 = 315; Subtract: 351 – 315 = 36
Write down 368 and divide integers 368/45
45 x 8 = 360; Subtract: 368 – 315 = 8
78 R 8

On Your Own – Page No. 93

Adjust the estimated digit in the quotient, if needed. Then divide.

Question 7.
2
26)\(\overline { 541 }\)
_____ R _____

Answer:
20 R 21

Explanation:
500/25 = 2
26 x 2 = 52; Subtract: 54 – 52 = 2
Write down 21 and divide integers 21/26
20 R 21

Question 8.
1
43)\(\overline { 688 }\)
_____

Answer:
16

Explanation:
800/40 = 20
43 x 2 = 86; Subtract: 68 – 86
the estimate is too high.
Change the quotient to 1
43 x 1 = 43; Subtract: 68 – 43 = 25
Write down 258 and divide integers 258/43
43 x 6 = 258; Subtract: 258 – 258 = 0
So, 16

Question 9.
6
67)\(\overline { 4,873 }\)
_____ R _____

Answer:
72 R 49

Explanation:
4800/70 = 60
67 x 6 = 402; Subtract: 487 – 402 = 85
the estimate is too low.
Change the quotient to 7
67 x 7 = 469; Subtract: 487 – 469 = 18
Write down 183 and divide integers 183/67
67 x 2 = 134; Subtract: 183 – 134 = 49
72 R 49

Question 10.
15)\(\overline { 975 }\)
_____

Answer:
65

Explanation:
15 x 6 = 90; Subtract 97 – 90 = 7
Write down 75 and divide integers 75/15
15 x 5 = 75; Subtract: 75 – 75 = 0
So, 65

Question 11.
37)\(\overline { 264 }\)
_____ R _____

Answer:
7 R 5

Explanation:
240/40 = 6
37 x 6 = 222; Subtract: 264 – 222 = 42
The estimate is too low.
Change the quotient to 7
37 x 7 = 259; Subtract: 264 – 259 = 5
7 R 5

Question 12.
22)\(\overline { 6,837 }\)
_____ R _____

Answer:
310 R 17

Explanation:
6300/20 = 325
22 x 3 = 66; Subtract: 68 – 66 = 2
Write down 23 and divide integers 23/22
22 x 1 = 22; Subtract: 23 – 22 = 1
Write down 17; 17 < 22
310 R 17

Practice: Copy and Solve Divide.

Question 13.
452 ÷ 31
_____ \(\frac{□}{□}\)

Answer:
14\(\frac{18}{31}\)

Explanation:
Divide integers 45/31 = 1
Multiply 31 x 1 = 31; Subtract 45 – 31 = 14
Write down 142 and divide integers 142/31 = 4.
Multiply 31 x 4 = 124. Subtract 142 – 124 = 18.
The remainder is 18.
So, 14 R 18.
14\(\frac{18}{31}\)

Question 14.
592 ÷ 74
_____

Answer:
8

Explanation:
Divide integers 592/74 = 8
So, 8.

Question 15.
785 ÷ 14
_____ R _____

Answer:
56\(\frac{1}{14}\)

Explanation:
Divide integers 78/14 = 5
Multiply 14 x 5 = 70; Subtract 78 – 70 = 8
Write down 85 and divide integers 85/14 = 6.
Multiply 14 x 6 = 84. Subtract 85 – 84 = 1.
The remainder is 1.
So, 56 R 1.
56\(\frac{1}{14}\)

Question 16.
601 ÷ 66
_____ R _____

Answer:
9 R 7

Explanation:
Divide integers 601/66 = 9
Multiply 66 x 9 = 594 ; Subtract 601 – 594= 7
The remainder is 7.
So, 9 R 7.
9\(\frac{7}{66}\)

Question 17.
1,067 ÷ 97
_____

Answer:
11

Explanation:
Divide integers 106/97 = 1
Multiply 97 x 1 = 97; Subtract 106 – 97 = 9
Write down 97 and divide integers 97/97 = 1
Multiply 97 x 1 = 97; Subtract 97 – 97 = 0
The remainder is 0.
So, 11 is the answer.

Question 18.
2,693 ÷ 56
_____ R _____

Answer:
48 R 5

Explanation:
Divide integers 269/56 = 4
Multiply 56 x 4 = 224; Subtract 269 – 224 = 45
Write down 453 and divide integers 453/56 = 8
Multiply 56 x 8 = 448. Subtract 453 – 448 = 5.
The remainder is 5.
So, 48 R 5.

Question 19.
1,488 ÷ 78
_____ R _____

Answer:
19 R 6

Explanation:
Divide integers 148/78 = 1
Multiply 78 x 1 = 78; Subtract 148 – 78 = 70
Write down 708 and divide integers 708/78 = 9.
Multiply 78 x 9 = 702. Subtract 708 – 702 = 6.
The remainder is 6.
So, 19 R 6.

Question 20.
2,230 ÷ 42
_____ R _____

Answer:
53 R 4

Explanation:
Divide integers 223/42 = 5
Multiply 42 x 5 = 210; Subtract 223 – 210 = 13
Write down 130 and divide integers 130/42 = 3.
Multiply 42 x 3 = 126. Subtract 130 – 126 = 4.
The remainder is 4.
So, 53 R 4.

Question 21.
4,295 ÷ 66
_____ R _____

Answer:
65 R 5

Explanation:
Divide integers 429/66 = 6
Multiply 66 x 6 = 396; Subtract 429 – 396 = 33
Write down 335 and divide integers 335/66 = 5.
Multiply 66 x 5 = 330. Subtract 335 – 330 = 5.
The remainder is 5
So, 65 R 5

Algebra Write the unknown number for each ■.

Question 22.
■ ÷ 33 = 11
■ = _____

Answer:
363

Explanation:
n ÷ 33 = 11
n = 11 x 33 = 363

Question 23.
1,092 ÷ 52 = ■
■ = _____

Answer:
21

Explanation:
1,092 ÷ 52 = 21

Question 24.
429 ÷ ■ = 33
■ = _____

Answer:
13

Explanation:
429 ÷ n = 33
n = 429 ÷ 33
n = 13

UNLOCK the Problem – Page No. 94

Question 25.
A banquet hall serves 2,394 pounds of turkey during a 3-week period. If the same amount is served each day, how many pounds of turkey does the banquet hall serve each day?

a. What do you need to find?
Type below:
_________

Answer:
How many Lbs at turkey do they serve each day?

Question 25.
b. What information are you given?
Type below:
_________

Answer:
Every 3 weeks, serves 2,394 lbs.

Question 25.
c. What other information will you use?
Type below:
_________

Answer:
Same each day, 3 weeks = 21 days

Question 25.
d. Find how many days there are in 3 weeks. There are ______ days in 3 weeks.
Type below:
_________

Answer:
There are ______ days in 3 weeks

Explanation:
1 week = 7 days.
3 x 7 = 21 days

Question 25.
e. Divide to solve the problem.
Type below:
_________

Answer:
2394/3 = t
t = 798
798/7 = 114 pounds

Question 25.
f. Fill in the bubble for the correct answer choice.
Options:
a. 50,274 pounds
b. 798 pounds
c. 342 pounds
d. 114 pounds

Answer:
d. 114 pounds

Adjust Quotients Lesson 2.8 Go Math Grade 5 Partial Quotients Question 26.
Marcos mixes 624 ounces of lemonade. He wants to fill the 52 cups he has with equal amounts of lemonade. How much lemonade should he put in each cup?
Options:
a. 8 ounces
b. 12 ounces
c. 18 ounces
d. 20 ounces

Answer:
b. 12 ounces

Explanation:
Marcos mixes 624 ounces of lemonade. He wants to fill the 52 cups he has with equal amounts of lemonade. 624/52 = 12 ounces.
12 ounces should he put in each cup

Question 27.
The Box of Sox company packs 18 pairs of socks in a box. How many boxes will the company need to pack 810 pairs of socks?
Options:
a. 40
b. 45
c. 55
d. 56

Answer:
b. 45

Explanation:
The Box of Sox company packs 18 pairs of socks in a box. So, for 810 pairs of socks, 810/18 = 45

Share and Show – Page No. 97

Question 1.
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 132 pounds. How much did each fish weigh?
First, draw one box to represent the weight of the permit fish and ten boxes to represent the weight of the tarpon.
Next, divide the total weight of the two fish by the total number of boxes you drew. Place the quotient in each box.
Last, find the weight of each fish.
The permit fish weighed _____ pounds.
The tarpon weighed _____ pounds.
Type below:
_________

Answer:
The permit fish weighed 12 pounds.
The tarpon weighed 120 pounds.

Explanation:
Let S be the weight of a permit fish Paula caught.
The weight of the tarpon is 10 times as great as the weight of a permit fish she caught = 10 S
The total weight of the two fish was 132 pounds.
S + 10S = 132
11S = 132
S = 132/11 = 12
So, Paula caught a fish with the weight of 12 pounds.
The tarpon weighted 120 pounds.

Question 2.
What if the weight of the tarpon was 11 times the weight of the permit fish, and the total weight of the two fish was 132 pounds? How much would each fish weigh?
permit fish: _________ pounds
tarpon: _________ pounds

Answer:
permit fish: 11 pounds
tarpon: 11 x 11 = 121 pounds

Explanation:
Let S be the weight of a permit fish Paula caught.
The weight of the tarpon is 11 times as great as the weight of a permit fish she caught = 11S
Total weight is 132
11S + S = 132
12S = 132
S = 132/12 = 11.
permit fish: 11 pounds
tarpon: 11 x 11 = 121 pounds

Question 3.
Jon caught four fish that weighed a total of 252 pounds. The kingfish weighed twice as much as the amberjack and the white marlin weighed twice as much as the kingfish.
The weight of the tarpon was 5 times the weight of the amberjack. How much did each fish weigh?
amberjack: _________ pounds
kingfish: _________ pounds
marlin: _________ pounds
tarpon: _________ pounds

Answer:
amberjack: 21 pounds
kingfish: 42 pounds
marlin: 84 pounds
tarpon: 105 pounds

Explanation:
Let S be the weight of the amberjack.
The kingfish weighed twice as much as the amberjack = 2S
The white marlin weighed twice as much as the kingfish = 2 X 2S = 4S
The weight of the tarpon was 5 times the weight of the amberjack = 5S
Total weight = 252 pounds.
2S + 4S + 5S + S = 252
12S = 252
S = 252/12
S = 21.
The kingfish weighed twice as much as the amberjack = 2S = 2 x 21 = 42 pounds.
The white marlin weighed twice as much as the kingfish = 2 X 2S = 4S = 4 x 21 = 84 pounds.
The weight of the tarpon was 5 times the weight of the amberjack = 5S = 5 x 21 = 105 pounds.

On Your Own – Page No. 98

Use the table to solve 4–7.

Question 4.
Kevin is starting a saltwater aquarium with 36 fish. He wants to start with 11 times as many damselfish as clown fish. How many of each fish will Kevin buy? How much will he pay for the fish?
Type below:
_________

Answer:
Kevin is starting a saltwater aquarium with 36 fish. He uses 1 damselfish and 11 clown fish. So, three groups form for 36 fishes.
1 damselfish and 11 clown fish = $7 + (11 x $20) = 7 + 220 = 227
He buys 3 damselfish and 33 clown fish.
3 x 7 = 21$ for damselfish and 33 x 20 = 660 for clown fish.
Each fish = 681/36 = 19

Adjust Quotients Lesson 2.8 Answers Homework Question 5.
Kevin used a store coupon to buy a 40-gallon tank, an aquarium light, and a filtration system. He paid a total of $240. How much money did Kevin save by using the coupon?
$ _____

Answer:
$25

Explanation:
40-gallon tank = $170
aquarium light = $30
filtration system = $65
170 + 30 + 65 = 265
He paid a total of $240; 265 -240 = $25
Kevin save by using the coupon $25.

Question 6.
Kevin bought 3 bags of gravel to cover the bottom of his fish tank. He has 8 pounds of gravel left over. How much gravel did Kevin use to cover the bottom of the tank?
_____ pounds

Answer:
37 pounds.

Explanation:
15lb bag of gravel = $13.
3 bags of gravel = 45lb.
He has 8 pounds of gravel left over = 45 – 8 = 37
Kevin use 37 pounds of gravel to cover the bottom of the tank

Question 7.
Pose a Problem Look back at Problem 6. Write a similar problem by changing the number of bags of gravel and the amount of gravel left.
Type below:
_________

Answer:
If he bought 5 bags of gravel to cover the bottom of his fish tank. He has 10 pounds of gravel left over.
5 bags of gravel = 15 x 5 = 75lbs
He has 10 pounds of gravel left over = 75 – 10 lbs = 65 lbs
65lbs

Explanation:

Question 8.
Test Prep Captain James offers a deep-sea fishing tour. He charges $2,940 for a 14-hour trip. How much does each hour of the tour cost?
Options:
a. $138
b. $201
c. $210
d. $294

Answer:
c. $210

Explanation:
Captain James offers a deep-sea fishing tour. He charges $2,940 for a 14-hour trip.
Each hour = $2940/14 = 210

Chapter Review/Test – Vocabulary – Page No. 99

Choose the best term from the box.

Question 1.
You can to estimate quotients because they are easy
use _________ to compute with mentally

Answer:
Compatible Numbers

Question 2.
To decide where to place the first digit in the
quotient, you can estimate or use _________

Answer:
Place Value

Concepts and Skills

Use compatible numbers to estimate the quotient.

Question 3.
522 ÷ 6 = _____

Answer:
90

Explanation:
522 is close to 540. 540 ÷ 6 = 90
The quotient is about 90

Question 4.
1,285 ÷ 32 = _____

Answer:
40

Explanation:
1,280 ÷ 32 = 40
The quotient is about 40

Question 5.
6,285 ÷ 89 = _____

Answer:
70

Explanation:
6,300 ÷ 90 = 70
The quotient is about 70

Divide. Check your answer.

Question 6.
2)\(\overline { 554 } \) = _____

Answer:
277

Explanation:
Divide integers 5/2 = 2
Multiply 2 x 2 = 4; Subtract 5 – 4 = 1
Write down 15 and divide integers 15/2 = 7.
Multiply 2 x 7 = 14. Subtract 15 – 14 = 1
Write down 14 and divide integers 14/2 = 7.
Multiply 2 x 7 = 14. Subtract 14 – 14 = 0
The remainder is 0.
So, 277 is the answer.

Question 7.
8)\(\overline { 680 } \) = _____

Answer:
85

Explanation:
Divide integers 68/8 = 8
Multiply 8 x 8 = 64; Subtract 68 – 64 = 4
Write down 40 and divide integers 40/8 = 5.
Multiply 8 x 5 = 40. Subtract 40 – 40 = 0
The remainder is 0.
So, 85 is the answer.

Question 8.
5)\(\overline { 462 } \) = _____ R _____

Answer:
92 R 2

Explanation:
Divide integers 46/5 = 9
Multiply 5 x 9 = 45; Subtract 46 – 45 = 1
Write down 12 and divide integers 12/5 = 2.
Multiply 5 x 2 = 10. Subtract 12 – 10 = 2
The remainder is 2.
So, 92 R 2
Check:
(92 x 5) + 2 = 460 + 2 = 462

Question 9.
522 ÷ 18 = _____

Answer:
29

Explanation:
Divide integers 52/18 = 2
Multiply 18 x 2 = 36; Subtract 52 – 36 = 16
Write down 162 and divide integers 162/8 = 9.
Multiply 8 x 9 = 162. Subtract 162 – 162 = 0
The remainder is 0
So, 29 is the answer.

Question 10.
529 ÷ 37 = _____ R _____

Answer:
14 R 11

Explanation:
Divide integers 52/37 = 1
Multiply 37 x 1 = 37; Subtract 52 – 37 = 15
Write down 159 and divide integers 159/37 = 4.
Multiply 37 x 4 = 148. Subtract 159 – 148 = 11
The remainder is 11.
So, 14 R 11
Check:
(14 x 37) + 11 = 518 + 11 = 529

Question 11.
987 ÷ 15 = _____ R _____

Answer:
65 R 12

Explanation:
Divide integers 98/15 = 6
Multiply 15 x 6 = 90; Subtract 98 – 90 = 8
Write down 87 and divide integers 87/15 = 5.
Multiply 15 x 5 = 75. Subtract 87 – 75 = 12
The remainder is 12.
So, 65 R 12
Check:
(15 x 65) + 12 = 975 + 12 = 987

Question 12.
1,248 ÷ 24 = _____

Answer:
52

Explanation:
Divide integers 124/24 = 5
Multiply 24 x 5 = 120; Subtract 124 – 120 = 4
Write down 48 and divide integers 48/24 = 2.
Multiply 24 x 2 = 48. Subtract 48 – 48 = 0
The remainder is 0
So, 52 is the answer.

Question 13.
5,210 ÷ 17 = _____ R _____

Answer:
306 R 8

Explanation:
Divide integers 52/17 = 3
Multiply 17 x 3 = 51; Subtract 52 – 51 = 1
Write down 110 and divide integers 110/17 = 6.
Multiply 17 x 6 = 102. Subtract 110 – 102 = 8
The remainder is 8.
So, 306 R 8
Check:
(306 x 17) + 8 = 5202 + 8 = 5210

Question 14.
8,808 ÷ 42 = _____ R _____

Answer:
209 R 30

Explanation:
Divide integers 88/42 = 2
Multiply 42 x 2 = 84; Subtract 88 – 84 = 4
Write down 408 and divide integers 408/42 = 9.
Multiply 42 x 9 = 378. Subtract 408 – 378 = 30
The remainder is 30.
So, 209 R 30
Check:
(209 x 42) + 30 = 8778 + 30 = 8808

Chapter Review/Test – Page No. 100

Fill in the bubble completely to show your answer.

Question 15.
Samira bought 156 ounces of trail mix. She wants to divide the amount equally into 24 portions. How many ounces of trail mix will be in each portion?
Options:
A. 6 ounces
B. 6 \(\frac{1}{2}\) ounces
C. 7 ounces
D. 12 ounces

Answer:
B. 6 \(\frac{1}{2}\) ounces

Explanation:
Samira bought 156 ounces of trail mix. She wants to divide the amount equally into 24 portions.156/24 = 6.5 = 6 \(\frac{1}{2}\) ounces

Question 16.
A school band performed 6 concerts. Every seat for each performance was sold. If a total of 1,248 seats were sold for all 6 concerts, how many seats were sold for each performance?
Options:
A. 28
B. 200
C. 206
D. 208

Answer:
D. 208

Explanation:
A school band performed 6 concerts. Every seat for each performance was sold. If a total of 1,248 seats were sold for all 6 concerts, then 1,248/6 = 208.

Question 17.
Dylan’s dog weighs 12 times as much as his pet rabbit. The dog and rabbit weigh 104 pounds altogether. How much does Dylan’s dog weigh?
Options:
A. 104 pounds
B. 96 pounds
C. 88 pounds
D. 8 pounds

Answer:
D. 8 pounds

Explanation:
Dylan’s dog weighs 12 times as much as his pet rabbit. The dog and rabbit weigh 104 pounds altogether.
rabbit weight = S
dog weighs = 12S
S + 12S = 104; 13S = 104; S = 104/13 =8.

Question 18.
Jamie is sewing 14 identical costumes for the school play. She needs 210 buttons to complete all of the costumes. How many buttons will she sew onto each costume?
Options:
A. 15
B. 14
C. 11
D. 9

Answer:
A. 15

Explanation:
Jamie is sewing 14 identical costumes for the school play. She needs 210 buttons to complete all of the costumes. 210/14 = 15

Chapter Review/Test – Page No. 101

Fill in the bubble completely to show your answer.

Question 19.
A book publishing company is shipping an order of 300 books. The books are packaged in boxes that each can hold 24 books. How many boxes are needed to ship the order of books?
Options:
A. 10
B. 11
C. 12
D. 13

Answer:
D. 13

Explanation:
A book publishing company is shipping an order of 300 books. The books are packaged in boxes that each can hold 24 books.
300/24 = 12.5. That is 12 and above boxes. So, the answer is 13

Question 20.
Richard is planning a trip to Italy. He thinks he will need $2,750 for the trip. If the trip is 40 weeks away, which is the best estimate of how much money Richard needs to save each week?
Options:
A. $60
B. $70
C. $600
D. $700

Answer:
B. $70

Explanation:
Richard is planning a trip to Italy. He thinks he will need $2,750 for the trip. If the trip is 40 weeks away, $2,750/40 = $68.75. That is equal to $70

Question 21.
A school club raises $506 to spend on a field trip. There are 23 people going on the trip. How much money did the club raise for each person going?
Options:
A. $27
B. $22
C. $18
D. $12

Answer:
B. $22

Explanation:
A school club raises $506 to spend on a field trip. There are 23 people going on the trip. $506/23 = $22.

Question 22.
A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each hold 96 oranges. All but one crate is full. How many oranges are in this last crate?
Options:
A. 24
B. 25
C. 26
D. 27

Answer:
C. 26

Explanation:
2330 oranges / 96 orange/crate = 24.2708333 crates the decimal portion is the fraction of 96 in the last crate= 96 x .2708333 = 26 oranges in the last crate.

Chapter Review/Test – Page No. 102

Constructed Response

Question 23.
On Monday, 1,900 bottles of perfume are delivered to a warehouse. The bottles are packed in boxes. Each box can hold 32 bottles. How many boxes were delivered? Explain how you found your answer.
_____ boxes

Answer:
I need to divide 1,900 by 32, which is 59 r12. That means the bottles will completely fill 59 boxes. But there will be 12 bottles left over. These would be packed in another box, which makes a total of 60 boxes.

Performance Task

Question 24.
Quincy needs 322 yards of ribbon to decorate quilts for a craft fair.The ribbon comes in rolls of 15 yards.
A. How many rolls of ribbon should Quincy buy? Explain your answer.
_____ rolls

Answer:
I need to divide 322 by 15. The answer is 21  R 7. Since he can’t buy a part of a roll, I need to add 1 to the quotient. So, the final answer is 22.

Question 24.
B. Alice needs twice as many yards of ribbon as Quincy. How many rolls of ribbon does Alice need? Explain your answer.
_____ rolls

Answer:
Twice the length of 322 yards is 644 yards. If I divide 644 by 15, the answer is 42 R 14. Alice needs to buy 43 rolls of ribbon. The remainder doubled is still less than the amount In 1 roll.

Question 24.
C Elena needs yellow, red, and blue ribbon. She needs 285 yards of the three colors combined. Suggest numbers of rolls of each color that would give her enough ribbon. (HINT: Break apart the 285 yards into any combination of 3 groups that total this amount.)
Type below:
_________

Answer:
Sample 1: If Elena wants the same amounts, she will need 95 yards of each color. 95 divided by 15 is 6 R 5, so she will need 7 rolls of each color.
Sample 2: If she wants 109 yards of yellow, 100 yards of red, and 85 yards of blue, she will need 7 rolls of yellow, 7 rolls of red, and 6 rolls of blue.

Conclusion:

Go Math Grade 5 Answer Key Chapter 2 Divide Whole Numbers PDF for download. Get the explanation for every problem along with practice questions. Students can easily solve any math questions in minutes with the help of Go Math Grade 5 Chapter 2 Divide Whole Numbers Solution Key.

Get Go Math Grade 4 Answer Key Homework Practice FL Chapter 13: Algebra: Perimeter and Area here. The students of 4th grade can score good marks with the help of Go Math Grade 4 Answer Key Homework Practice FL Chapter 13 Algebra: Perimeter and Area. You can learn how to find the area and perimeter of the rectangle and square with the help of HMH Go Math 4th Grade Chapter 13 Perimeter and Area Answer key.

Go Math Grade 4 Answer Key Homework Practice FL Chapter 13: Algebra: Perimeter and Area

Download Go Math Grade 4 Answer Key Homework Practice FL Chapter 13: Algebra: Perimeter and Area pdf for free. Get the list of the topics covered in Algebra: Perimeter and Area from the below section. Hit the below link and get step by step explanation for each and every question here.

Lesson: 1 – Perimeter

• Common Core – Algebra: Perimeter and Area – Page No. 247
• Common Core – Algebra: Perimeter and Area – Page No. 248

Lesson: 2 – Area

• Common Core – Algebra: Perimeter and Area – Page No. 249
• Common Core – Algebra: Perimeter and Area – Page No. 250

Lesson: 3 – Area of Combined Rectangles

• Common Core – Algebra: Perimeter and Area – Page No. 251
• Common Core – Algebra: Perimeter and Area – Page No. 252

Lesson: 4 – Find Unknown Measures

• Common Core – Algebra: Perimeter and Area – Page No. 253
• Common Core – Algebra: Perimeter and Area – Page No. 254

Lesson: 5 – Problem Solving Find the Area

• Common Core – Algebra: Perimeter and Area – Page No. 255
• Common Core – Algebra: Perimeter and Area – Page No. 256

Lesson: 6 

• Common Core – Algebra: Perimeter and Area – Page No. 257
• Common Core – Algebra: Perimeter and Area – Page No. 258

Common Core – Algebra: Perimeter and Area – Page No. 247

Perimeter

Find the perimeter of the rectangle or square.

Question 1.

9 + 3 + 9 + 3 = 24
24 inches

Question 2.

_____ meters

Answer: 32

Explanation:
Given,
sides = 8 m
we know that the perimeter of a square is 4×s
P = 4 × s
P = 4 × 8m
P = 32m
Therefore the perimeter of the above square is 32m

Question 3.

_____ feet

Answer: 44

Explanation:
Given,
Length (L) = 10 ft
Width (W) = 12 ft
we know that the perimeter of a Rectangle is L + L+ W + W
P = L + L+ W + W
P = 10 ft + 10 ft + 12 ft + 12 ft
P = 44 ft
Therefore the perimeter of the above Rectangle is 44 ft

Remember: The perimeter is the total distance around the outside, which can be found by adding together the length of each side. In the case of a rectangle, opposite sides are equal in length, so the perimeter is twice its width plus twice its height.

Question 4.

____ centimeters

Answer: 108

Explanation:
Given,
Length (L) = 30 cm
Width (W) = 24 cm
we know that the perimeter of a Rectangle is L + L+ W + W
P = L + L+ W + W
P = 30 cm + 30 cm + 24 cm + 24 cm
P = 108 cm
Therefore the perimeter of the above Rectangle is 108 cm

Question 5.

____ inches

Answer: 216

Explanation:
Given,
Length (L) = 25 in.
Width (W) = 83 in.
we know that the perimeter of a Rectangle is L + L+ W + W
P = L + L+ W + W
P = 25 in. + 25 in. + 83 in. + 83 in.
P = 216 in.
Therefore the perimeter of the above Rectangle is 216 in.

Question 6.

_____ meters

Answer: 240

Explanation:
Given,
sides = 60 m
we know that the perimeter of a square is 4×s
P = 4×s
P = 4×60 m
P = 240 m
Therefore the perimeter of the above square is 240 m

Problem Solving

Question 7.
Troy is making a flag shaped like a square. Each side measures 12 inches. He wants to add ribbon along the edges. He has 36 inches of ribbon. Does he have enough ribbon? Explain.
_____

Answer: no. He needs 48 inches of ribbon.

Explanation:
Since each side is 12 inches, then multiply 12 by 4 since it’s a square and has 4 sides which make 48.
48 is bigger than 36.
Therefore, Troy does not have enough ribbon.

Question 8.
The width of the Ochoa Community Pool is 20 feet. The length is twice as long as its width. What is the perimeter of the pool?
_____ feet

Answer: 120

Explanation:

Width of the Ochoa community pool = 20 feet
Length is twice as long as its width = 2(20) = 40 feet
Use this formula to get perimeter = 2(w) + 2(L)
then the perimeter equals to = 2(20)+ 2(40)
P = 40 feet + 80 feet  = 120 feet
Therefore The perimeter of the pool is 120 feet.

Common Core – Algebra: Perimeter and Area – Page No. 248

Lesson Check

Question 1.
What is the perimeter of a square window with sides 36 inches long?
Options:
a. 40 inches
b. 72 inches
c. 144 inches
d. 1,296 inches

Answer: 144 inches

Explanation:
Perimeter of a square = L + L + L + L = 4L
From the question given L=36 inches
substitute the value of L into the formula
Perimeter of a square (P)= L + L + L + L
P = 36 in. + 36 in.. +36 in.+ 36 in.
P =144 inches
Therefore the perimeter of a square window with sides 36 inches long is 144 inches.

Question 2.
What is the perimeter of the rectangle below?

Options:
a. 11 meters
b. 14 meters
c. 18 meters
d. 400 meters

Answer: 18 meters

Explanation:
Given,
Length (L) = 5 m
Width (W) = 4 m
we know that the perimeter of a Rectangle is L + L+ W + W
P = L + L+ W + W
P = 5 m + 5 m + 4 m + 4 m
P = 18 m
Therefore the perimeter of the above Rectangle is 18 m
Thus the correct answer is option c.

Spiral Review

Question 3.
Which is the most reasonable estimate for the measure of the angle Natalie drew?

Options:
a. 30°
b. 90°
c. 180°
d. 210°

Answer: 90°

Explanation:
Right angle: An angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
As we can see in the figure, that an angle is made at the intersection of the two perpendicular straight lines, thus the figure will be definitely a right-angled figure.
Therefore, the measure of the angle Natalie draw is 90°.
Thus the correct answer is option b.

Question 4.
Ethan has 3 pounds of mixed nuts. How many ounces of mixed nuts does Ethan have?
Options:
a. 30 ounces
b. 36 ounces
c. 48 ounces
d. 54 ounces

Answer: 48 ounces

Explanation:
Since we have given that
Number of pounds of mixed nuts = 3
As we know that
1 pound = 16 ounces
So, we need to find the number of ounces of mixed nuts Ethan has.
So, the number of ounces of mixed nuts Ethan have is given by
= 3 × 16
= 48 ounces
Thus the correct answer is option c.

Question 5.
How many lines of symmetry does the shape below appear to have?

Options:
a. 0
b. 1
c. 2
d. more than 2

Answer: 1

Explanation:
It has only one line of symmetry on the horizontal axis because it is an arrow.
Thus the correct answer is option b.

Question 6.
Which of the following comparisons is correct?
Options:
a. 0.70 > 7.0
b. 0.7 = 0.70
c. 0.7 < 0.70
d. 0.70 = 0.07

Answer: 0.7 = 0.70
The decimal 0.7 and 0.70 are the same so the correct answer is option b.

Common Core – Algebra: Perimeter and Area – Page No. 249

Area

Find the area of the rectangle or square.

Question 1.

Answer: 108 Square feet

Explanation:
Given,
Height (h) = 9 ft.
Breath (b) = 12 ft.
Area of the rectangle  A = b×h
A = 12 ft × 9 ft
A = 108 Square feet.
Therefore the Area of the rectangle is 108 Square feet.

Question 2.

_____ square yards

Answer: 64

Explanation:
Given,
Sides (s) = 8 yd
Area of the square. A = s×s
A = 8 yd × 8 yd
A = 64 Square yards
Therefore the Area of the square is 64 Square yards.

Question 3.

______ square meters

Answer: 45

Explanation:
Given,
Height (h) = 3 m
Breath (b) = 15 m
Area of the rectangle or square. A = b×h
A = 3 m× 15 m
A = 45 Square meters
Therefore the Area of the rectangle is 45 Square meters

Question 4.

______ square inches

Answer: 78

Explanation:
Given,
Height (h) = 6 in.
Breath (b) = 13 in.
Area of the rectangle =  A = b×h
A = 6 in. × 13 in.
A = 78 square inches
Therefore the Area of the rectangle is 78 square inches.

Question 5.

______ square centimeters

Answer: 150 square cm

Explanation:
Given,
Height (h) = 5 cm
Breath (b) = 30 cm
Area of the rectangle or square. A = b×h
A =  5 cm × 30 cm
A = 150 square centimeters
Therefore the Area of the rectangle is 150 square centimeters.

Question 6.

______ square feet

Answer: 56 square ft

Explanation:
Given,
Height (h) = 4 ft
Breath (b) = 14 ft
Area of the rectangle or square. A = b×h
A = 4 ft × 14 ft
A = 56 square feet
Therefore the Area of the rectangle is 56 square feet.

Problem Solving

Question 7.
Meghan is putting wallpaper on a wall that measures 8 feet by 12 feet. How much wallpaper does Meghan need to cover the wall?
_____ square feet wallpaper

Answer: 96 square feet wallpaper

Explanation:
Given,
Length = 8 feet.
Width = 12 feet.
the area (area=length × width)
area=8 × 12
area=96 square feets.
Therefore the area is always expressed in units squared it would be 96 square feet of wallpaper.

Question 8.
Bryson is laying down sod in his yard to grow a new lawn. Each piece of sod is a 1-foot by 1-foot square. How many pieces of sod will Bryson need to cover his yard if his yard measures 30 feet by 14 feet?
_____ pieces

Answer: 420 pieces

Explanation:
Given,
length (l) = 30 ft
Breath (b) = 14 ft
Area of the rectangle or square. A = l×b
A = 30 ft × 14 ft
A = 420
Therefore 420 pieces of sod will Bryson need to cover his yard if his yard measures 30 feet by 14 feet.

Common Core – Algebra: Perimeter and Area – Page No. 250

Lesson Check

Question 1.
Ellie and Heather drew floor models of their living rooms. Ellie’s model represented 20 feet by 15 feet. Heather’s model represented 18 feet by 18 feet. Whose floor model represents the greater area? How much greater?
Options:
a. Ellie; 138 square feet
b. Heather; 24 square feet
c. Ellie; 300 square feet
d. Heather; 324 square feet

Answer: Heather; 24 square feet

Explanation:

Given,
Ellie’s model represented 20 feet by 15 feet.
Heather’s model represented 18 feet by 18 feet.
Length of Ellie’s model = 20 feet
Width of Ellie’s model = 15 feet
Area = Length × Breadth
A = 20 × 15
A = 300 ft²
Length of Heather’s model = 18 feet
Width of Heather’s model = 18 feet
Area = Length × Breadth
A= 18 × 18
A= 324 ft²
Therefore Heather’s model has a greater area by (324-300)= 24 sq.ft.
Thus the correct answer is option b.

Question 2.
Tyra is laying down square carpet pieces in her photography studio. Each square carpet piece is 1 yard by 1 yard. If Tyra’s photography studio is 7 yards long and 4 yards wide, how many pieces of square carpet will Tyra need?
Options:
a. 10
b. 11
c. 22
d. 28

Answer: 28

Explanation:
Given,
Tyra’s photography studio  length is 7 yards
Tyra’s photography studio width is  4 yards
Area = Length × Breadth
Area = 7 yards × 4 yards
Area = 28 square yards
Therefore as Each square carpet piece is 1 yard by 1 yard. No.of pieces of square carpet Tyra needed is 28.
Thus the correct answer is option d.

Spiral Review

Question 3.
Typically, blood fully circulates through the human body 8 times each minute. How many times does blood circulate through the body in 1 hour?
Options:
a. 48
b. 240
c. 480
d. 4,800

Answer: 480

Explanation:
Given,
blood fully circulates through the human body 8 times each minute
one hour = 60 minutes
blood circulates through the body in 1 hour = 8 times × 60 minutes.
= 480 Times.
Therefore blood circulates through the body in 1 hour is 480 times.
Thus the correct answer is option c.

Question 4.
Each of the 28 students in Romi’s class raised at least $25 during the jump-a-thon. What is the least amount of money the class raised?
Options:
a. $5,200
b. $700
c. $660
d. $196

Answer: $700

explanation:
If each of the 28 students made at least $25,
you would multiply 28 and 25 together to obtain the least amount of money the class raised.
That gets,
28×25 = 700.
Therefore The class made at least $700.
Thus the correct answer is option b.

Question 5.
What is the perimeter of the shape below if 1 square is equal to 1 square foot?

Options:
a. 12 feet
b. 14 feet
c. 24 feet
d. 28 feet

Answer: 28 feet

Explanation:
From the above figure we can observe that there area 2 rows and 12 columns.
L = 12 feet
W = 2 feet
We know that perimeter of the rectangle is 2l + 2w
P = 2l + 2w
P = 2(12) + 2(2)
P = 24 feet + 4 feet
P = 28 feet
Thus the correct answer is option d.

Question 6.
Ryan is making small meat loaves. Each small meat loaf uses \(\frac{3}{4 }\) pound of meat. How much meat does Ryan need to make 8 small meat loaves?
Options:
a. 4 pounds
b. 6 pounds
c. 8 pounds
d. 10 \(\frac{2}{3}\) pounds

Answer: 6 pounds

Explanation:
Given,
3/4 pound=1 small meatloaf
So Multiply 3/4 pound by 8
because he wants to make 8 small meatloaves.
= 3/4 × 8
= 24/4 (24 divided by 4)
= 6 pounds
Therefore Ryan need 6 pounds to make 8 small meat loaves.
Thus the correct answer is option b.

Common Core – Algebra: Perimeter and Area – Page No. 251

Area of Combined Rectangles

Find the area of the combined rectangles.

Question 1.

Question 2.

_____ square feet

Answer: 143

Explanation:
Divide the figure into two parts
Figure 1:
L = 9 ft
W = 5 ft
Area of the rectangle = l × w
A = 9 ft × 5 ft = 45 sq. ft
Figure 2:
L = 14 ft
W = 7 ft
Area of the rectangle = l × w
A = 14 ft × 7 ft = 98 sq. ft
Area of the combined rectangles = 98 sq. ft + 45 sq. ft = 143 sq. ft.

Question 3.

_____ square inches

Answer: 63

Explanation:
Divide the figure into two parts
Figure 1:
L = 9 in.
W = 5 in.
Area of the rectangle = l × w
A = 9 in. × 5 in. = 45 sq. in.
Figure 2:
L = 3 in.
W = 6 in.
Area of the rectangle = l × w
A = 3 in. × 6 in. = 18 sq. in.
Area of the combined rectangles = 45 sq. in + 18 sq. in = 63 square inches.

Question 4.

_____ square feet

Answer: 50 square feet

Explanation:
Divide the figure into two parts
Figure 1:
L = 4 ft
W = 2 ft
Area of the rectangle = l × w
A = 4 ft × 2 ft = 8 sq. ft
Figure 2:
L = 6 ft
W = 7 ft
Area of the rectangle = l × w
A = 6 ft × 7 ft = 42 sq. ft
Area of the combined rectangles = 8 sq. ft + 42 sq. ft = 50 sq. ft.

Question 5.

_____ square centimeters

Answer: 180 square centimeters

Explanation:
Divide the figure into two parts
Figure 1:
L = 12 cm
W = 7 cm
Area of the rectangle = l × w
A = 12 cm × 7 cm = 84 sq. cm.
Figure 2:
L = 16 cm
W = 6 cm
Area of the rectangle = l × w
A = 16 cm × 6 cm = 96 sq. cm
Area of the combined rectangles = 84 sq. cm + 96 sq. cm = 180 square centimeters

Question 6.

______ square yards

Answer: 68

Explanation:
Divide the figure into two parts
Figure 1:
L = 20 yd
W = 1 yd
Area of the rectangle = l × w
A = 20 yd × 1 yd = 20 sq. yd.
Figure 2:
L = 6 yard
W = 8 yard
Area of the rectangle = l × w
A = 6 yard × 8 yard = 48 sq. yard
Area of the combined rectangles = 20 sq. yd + 48 sq. yd = 68 square yards

Problem Solving

Use the diagram for 7–8.

Nadia makes the diagram below to represent the counter space she wants to build in her craft room.

Question 7.
What is the area of the space that Nadia has shown for scrapbooking?
_____ square feet

Answer: 52

Explanation:
The length of the Scrapbooking is 13 ft
Width of the Scrapbooking is 4 ft
Area of the rectangle = l × w
A = 13 ft × 4 ft = 52 square feet
Thus the area of the space that Nadia has shown for scrapbooking is 52 square feet.

Question 8.
What is the area of the space she has shown for painting?
_____ square feet

Answer: 25

Explanation:
The area of the space shown for painting is square.
side = 5 ft
The area of the square is 5 ft × 5 ft = 25 sq. ft
Thus the area of the space she has shown for painting is 25 square feet.

Common Core – Algebra: Perimeter and Area – Page No. 252

Lesson Check

Question 1.
What is the area of the combined rectangles below?

Options:
a. 136 square yards
b. 100 square yards
c. 76 square yards
d. 64 square yards

Answer: 76 square yards

Explanation:
Divide the figure into two parts
Figure 1:
L = 8 yd
W = 5 yd
Area of the rectangle = l × w
A = 8 yd × 5 yd = 40 sq. yd.
Figure 2:
L = 12 yard
W = 3 yard
Area of the rectangle = l × w
A = 12 yard × 3 yard = 36 sq. yard
Area of the combined rectangles = 40 sq. yd + 36 sq. yd = 76 square yards
Therefore the correct option is c.

Question 2.
Marquis is redecorating his bedroom. What could Marquis use the area formula to find?
Options:
a. how much space should be in a storage box
b. what length of wood is needed for a shelf
c. the amount of paint needed to cover a wall
d. how much water will fill up his new aquarium

Answer: the amount of paint needed to cover a wall
The correct answer is option c.

Spiral Review

Question 3.
Giraffes are the tallest land animals. A male giraffe can grow as tall as 6 yards. How tall would the giraffe be in feet?
Options:
a. 2 feet
b. 6 feet
c. 12 feet
d. 18 feet

Answer: 18 feet

Explanation:
Given,
Giraffes are the tallest land animals. A male giraffe can grow as tall as 6 yards.
we have to find How tall would the giraffe be in feet
Converting from Yards to feet.
one Yard = 3 Feet.
So 6 yards = 6 × 3 feet
= 18 feet
Therefore the correct option is d.

Question 4.
Drew purchased 3 books for $24. The cost of each book was a multiple of 4. Which of the following could be the prices of the 3 books?
Options:
a. $4, $10, $10
b. $4, $8, $12
c. $5, $8, $11
d. $3, $7, $14

Answer: $4, $8, $12

Explanation:
Given,
Drew purchased 3 books for $24. The cost of each book was a multiple of 4.
To find the prices of the 3 books
The cost of one book is $4
the cost of two books is $4 × 2 = $8
The cost of three books is $4 × 3 = $12
Therefore the correct option is b.

Question 5.
Esmeralda has a magnet in the shape of a square. Each side of the magnet is 3 inches long. What is the perimeter of her magnet?
Options:
a. 3 inches
b. 7 inches
c. 9 inches
d. 12 inches

Answer: 12 inches

Explanation:
Given,
Esmeralda has a magnet in the shape of a square.
Each side of the magnet is 3 inches long.
To find the perimeter of her magnet
P = 4 × s
P = 4 × 3 in.
P = 12 in.
Therefore the correct option is d.

Question 6.
What is the area of the rectangle below?

Options:
a. 63 square feet
b. 32 square feet
c. 18 square feet
d. 16 square feet

Answer: 63 square feet

Explanation:
Given,
Height (h) = 7 ft.
Breath (b) = 9 ft.
Area of the rectangle  A = b×h
A = 7 ft × 9 ft
A = 63 Square feet.
The Area of the rectangle is 63 Square feet.
Therefore the correct option is a.

Common Core – Algebra: Perimeter and Area – Page No. 253

Find Unknown Measures

Find the unknown measure of the rectangle.

Question 1.

Perimeter = 54 feet
width = 7 feet
Think: P = (2 × l) + (2 × w)
54 = (2 × 20) + (2 × w)
54 = 40 + (2 × w)
Since 54 = 40 + 14, 2 × w = 14, and w = 7.

Question 2.

Perimeter = 42 meters
length = _____ meters

Answer: 12 meters

Explanation:
Given
Perimeter = 42 meters
width = 9 m
To find Length (l) of the rectangle
P = (2 × l) + (2 × w)
42 = (2 × l ) + (2 × 9)
42 = 2l + 18
2l = 42 – 18
2l = 24
l = 24/2
l = 12 m
Thus the length of the above rectangle is 12 m

Question 3.

Area = 28 square centimeters
height = _____ centimeters

Answer: 7 centimeters

Explanation:
Given
Area = 28 square centimeters
length  = 4 cm
To find Height (w) of the rectangle
A = l × w
28 = 4 cm × w
w = 28/4
w = 7 cm
Thus the height of the above rectangle is 7 cm

Question 4.

Area = 200 square inches
base = _____ inches

Answer: 8 inches

Explanation:
Given
Area = 200 square inches
width  = 25 in.
To find Base (b) of the rectangle
A = w × b
200 = 25 in. × b
b = 200/25
b = 8 inches
Thus the base of the above rectangle is 8 inches

Problem Solving

Question 5.
Susie is an organic vegetable grower. The perimeter of her rectangular vegetable garden is 72 yards. The width of the vegetable garden is 9 yards. How long is the vegetable garden?
length = _____ yards

Answer: 27 yards

Explanation:
Given,
The perimeter (P) of her rectangular vegetable garden is 72 yards.
The width (w) of the vegetable garden is 9 yards.
to find length (l)
P = (2 × l) + (2 × w)
72 yards  = (2 × l ) + (2 × 9 yards)
72 = 2l + 18
2l = 72 – 18
2l = 54
l = 54/2
l = 27 yards
Therefore length = 27 yards

Question 6.
An artist is creating a rectangular mural for the Northfield Community Center. The mural is 7 feet tall and has an area of 84 square feet. What is the length of
the mural?
length = _____ feet

Answer: 12 feet

Explanation:
Given,
The mural is 7 feet (w) tall and has an area of 84 square feet(A).
To find the length (l)
A = l × w
84 = l × 7
l = 84 /7
l= 12 feets
Therefore the length is 12 feets

Common Core – Algebra: Perimeter and Area – Page No. 254

Lesson Check

Question 1.
The area of a rectangular photograph is 35 square inches. If the width of the photo is 5 inches, how tall is the photo?
Options:
a. 5 inches
b. 7 inches
c. 25 inches
d. 30 inches

Answer: 7 inches

Explanation:
Given,
The area of a rectangular photograph is 35 square inches (A)
The width of the photo is 5 inches (w)
To find how tall is the photo (l)
A= l × b
35 square in. = l × 5 in.
l = 35/5
l = 7 inches
Therefore the photo height is 7 inches.
Thus the correct answer is option b.

Question 2.
Natalie used 112 inches of blue yarn as a border around her rectangular bulletin board. If the bulletin board is 36 inches wide, how long is it?
Options:
a. 20 inches
b. 38 inches
c. 40 inches
d. 76 inches

Answer: 20 inches

Explanation:
Given width is 36 in and the total inches used was 112.
To find length
Perimeter of Rectangle = 2(L + W)
Your equation is, 2(L + 36) = 112
Solving for L:
2(L + 36) = 112
L + 36 = 112 / 2
L + 36 = 56
L = 56 – 36
L = 20
Therefore the correct option is a.

Spiral Review

Question 3.
A professional basketball court is in the shape of a rectangle. It is 50 feet wide and 94 feet long. A player ran one time around the edge of the court. How far did the player run?
Options:
a. 144 feet
b. 194 feet
c. 238 feet
d. 288 feet

Answer: 288 feet

Explanation:
Given, the basketball court is 50 feet wide and 94 feet long
The perimeter of the rectangle(P) is given by:
P = 2(length + width)
50 + 94 = 144
144 x 2 = 288
The player ran 288 feet
Therefore the correct option is d.

Question 4.
On a compass, due east is a \(\frac{1}{4}\) turn clockwise from due north. How many degrees are in a \(\frac{1}{4}\) turn?
Options:
a. 45°
b. 60°
c. 90°
d. 180°

Answer: 90°

Explanation:
We have been given that on a compass, due east is a 1/4 turn clockwise from due north.
Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.
To find the number of degrees in a one-fourth turn, we will divide 360° by 4.
Number of degrees in a 1/4 turn of compass = 360°/4
Number of degrees in a 1/4 turn of compass = 90°
Therefore, there are 90 degrees in a 1/4 turn of the compass.
The correct option is c.

Question 5.
Hakeem’s frog made three quick jumps. The first was 1 meter. The second jump was 85 centimeters. The third jump was 400 millimeters. What was the total length of the frog’s three jumps?
Options:
a. 189 centimeters
b. 225 centimeters
c. 486 centimeters
d. 585 millimeters

Answer: 225 centimeters

Explanation:
Given:
distance of first jump = d1= 1 meter
distance of second jump = d2 = 85 centimeters
distance of third jump = d3 = 400 millimeters
This problem is about the conversion unit of length.
We have to recall that :
1 m = 100 cm
1 m = 1000 mm
Total distance = d = d1 + d2 + d3
d = 1 m + 85 m + 400 mm
d = 1 m + 85/100 m + 400/1000 m
d = 2.25  × 100 cm
d = 225 centimeters
Therefore the correct option is b.

Question 6.
Karen colors in squares on a grid. She colored \(\frac{1}{8}\) of the squares blue and \(\frac{5}{8}\) of the squares red. What fraction of the squares are not colored in?
Options:
a. \(\frac{1}{8}\)
b. \(\frac{1}{4}\)
c. \(\frac{1}{2}\)
d. \(\frac{3}{4}\)

Answer: \(\frac{1}{4}\)

Explanation:
since karen colored in 1/8 and 5/8 you add the numerators to get 6/8 you subtract the 8/8 the whole grid from 6/8 to get 2/8
⇒ 1/8 + 5/8 = 6/8
⇒ 8/8 – 6/8 = 2/8
= 1/4
There fore the correct option is b.

Common Core – Algebra: Perimeter and Area – Page No. 255

Problem Solving Find the Area

Solve each problem.

Question 1.
A room has a wooden floor. There is a rug in the center of the floor. The diagram shows the room and the rug. How many square feet of the wood floor still shows?

82 square feet
Area of the floor: 13 × 10 = 130 square feet
Area of the rug: 8 × 6 = 48 square feet
Subtract to find the area of the floor still showing: 130 – 48 = 82 square feet

Question 2.
A rectangular wall has a square window, as shown in the diagram.

What is the area of the wall NOT including the window?
The area of the wall NOT including the window = _____ square feet

Answer: 96 square feet

Explanation:
The area of the square window is 4 ft × 4 ft = 16 square feet.
Area of the rectangle = 14 ft × 8 ft = 112 square feet
Now we have to find the area of the wall NOT including the window
112 square feet – 16 square feet = 96 square feet
Thus the area of the wall NOT including the window is 96 square feet.

Question 3.
Bob wants to put down new sod in his backyard, except for the part set aside for his flower garden. The diagram shows Bob’s backyard and the flower garden.

How much sod will Bob need?
The area covered with new sod = _____ square yards

Answer: 235 square yards

Explanation:
The area of the non-shaded rectangle is 5 yd × 9 yd = 45 square yards.
The area of the rectangle is 20 yd × 14 yd = 280 square yard
The area covered with new sod is 280 square yard – 45 square yard = 235 square yards.

Question 4.
A rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?
The area of the frame = _____ square inches

Answer: 192 square inches

Explanation:
area of painting without frame
A1 = l × b
= 24 x 20
= 480 square inches
area of painting with frame
A2 = l × b
=28×24
=672 square inches
area of the frame not covered by paint
=area with frame(A1) – area without frame(A2)
=672 – 480
=192
Therefore the area of the frame is 192 square inches

Question 5.
One wall in Jeanne’s bedroom is 13 feet long and 8 feet tall. There is a door 3 feet wide and 6 feet tall. She has a poster on the wall that is 2 feet wide and 3 feet tall. How much of the wall is visible?
The area of the wall visible = _____ square feet

Answer: 80

Explanation:
One wall in Jeanne’s bedroom is 13 feet long and 8 feet tall.
There is a door 3 feet wide and 6 feet tall.
She has a poster on the wall that is 2 feet wide and 3 feet tall.
13 × 8 is 104. 104 – (3×6) and -(2 × 3) is 80
Thus the area of the wall visible is 80 square feet.

Common Core – Algebra: Perimeter and Area – Page No. 256

Lesson Check

Question 1.
One wall in Zoe’s bedroom is 5 feet wide and 8 feet tall. Zoe puts up a poster of her favorite athlete. The poster is 2 feet wide and 3 feet tall. How much of the wall is not covered by the poster?
Options:
a. 16 square feet
b. 34 square feet
c. 35 square feet
d. 46 square feet

Answer: 34 square feet

Explanation:
One wall in Zoe’s bedroom is 5 feet wide and 8 feet tall.
Area of the rectangle = l × w
A = 5 feet × 8 feet
A = 40 square feet
Zoe puts up a poster of her favorite athlete. The poster is 2 feet wide and 3 feet tall.
Area of the rectangle = l × w
A = 2 feet × 3 feet
S = 6 square feet
To find:
How much of the wall is not covered by the poster, we need to subtract 6 square feet from 40 square feet
40 square feet – 6 square feet = 34 square feet
Thus the are of the wall is not covered by the poster is 34 square feet.
The correct answer is option b.

Question 2.
A garage door is 15 feet wide and 6 feet high. It is painted white, except for a rectangular panel 1 foot high and 9 feet wide that is brown. How much of the garage door is white?
Options:
a. 22 square feet
b. 70 square feet
c. 80 square feet
d. 81 square feet

Answer: 81 square feet

Explanation:
Given that the garage door is 15 feet wide and 6 feet high.
W = 15 feet
H = 6 feet
Area of the rectangle = l × w
A = 6 feet × 15 feet
A = 90 square feet
It is painted white, except for a rectangular panel 1 foot high and 9 feet wide that is brown.
H = 1 foot
W = 9 feet
Area of the rectangle = l × w
A = 1 feet × 9 feet
A = 9 feet
To find:
How much of the garage door is white, we need to subtract 9 feet from 90 feet.
90 feet – 9 feet = 81 feet.
Thus the area of the garage door is white is 81 square feet.
The correct answer is option d.

Spiral Review

Question 3.
Kate baked a rectangular cake for a party. She used 42 inches of frosting around the edges of the cake. If the cake was 9 inches wide, how long was the cake?
Options:
a. 5 inches
b. 12 inches
c. 24 inches
d. 33 inches

Answer: 12 inches

Explanation:
Given,
Kate baked a rectangular cake for a party. She used 42 inches of frosting around the edges of the cake.
The width of the cake is 9 inches.
9 + 9 = 18
42 – 18 = 24
24 / 2 = 12
the length is 12 inches
Thus the correct answer is option b.

Question 4.
Larry, Mary, and Terry each had a full glass of juice. Larry drank \(\frac{3}{4}\) of his. Mary drank \(\frac{3}{8}\) of hers. Terry drank \(\frac{7}{10}\) of his. Who drank less than \(\frac{1}{2}\) of their juice?
Options:
a. Larry
b. Mary
c. Mary and Terry
d. Larry and Terry

Answer: Mary
Mary drank the least because when half of 8 is \(\frac{4}{8}\).
The correct answer is option b.

Question 5.
Which of the following statements is NOT true about the numbers 7 and 9?
Options:
a. 7 is a prime number.
b. 9 is a composite number.
c. 7 and 9 have no common factors other than 1.
d. 27 is a common multiple of 7 and 9.

Answer: 27 is a common multiple of 7 and 9.

Explanation:
Statement 27 is a common multiple of 7 and 9 is false because 27 is not the multiple of 7.
Thus the correct answer is option d.

Question 6.
Tom and some friends went to a movie. The show started at 2:30 P.M. and ended at 4:15 P.M. How long did the movie last?
Options:
a. 1 hour 35 minutes
b. 1 hour 45 minutes
c. 1 hour 55 minutes
d. 2 hours 15 minutes

Answer: 1 hour 45 minutes

Explanation:
Given,
Tom and some friends went to a movie. The show started at 2:30 P.M. and ended at 4:15 P.M.
Subtract ending time and starting time.
4 hr 15 min
-2 hr 30 min
1 hr 45 min
Thus the correct answer is option B.

Common Core – Algebra: Perimeter and Area – Page No. 257

Lesson 13.1

Find the perimeter of the rectangle or square.

Question 1.

P =____ ft

Answer: 50

Explanation:
Given,
Length (L) = 16 ft
Width (W) = 9 ft
we know that the perimeter of a Rectangle is L + L+ W + W
P = L + L+ W + W
P = 16 ft + 16 ft + 9 ft + 9 ft
P = 50 ft
Therefore the perimeter of the above Rectangle is 50 ft

Question 2.

P =____ in.

Answer: 52

Explanation:
Given,
sides = 13 in.
we know that the perimeter of a square is 4×s
P = 4 × 13 in.
P = 4 × 13 in.
P = 52 in.
Therefore the perimeter of the above square is 52 in.

Question 3.

P =____ cm

Answer: 130

Explanation:
Given,
Length (L) = 40 cm
Width (W) = 25 cm
we know that the perimeter of a Rectangle is L + L+ W + W
P = L + L+ W + W
P = 40 cm + 40 cm + 25 cm + 25 cm
P = 130 cm
Therefore the perimeter of the above Rectangle is 130 cm.

Question 4.

P =____ m

Answer: 68

Explanation:
Given,
Length (L) = 16 m
Width (W) = 18 m
we know that the perimeter of a Rectangle is L + L+ W + W
P = L + L+ W + W
P = 16 m+ 16 m+ 18 m+ 18 m
P = 68 m
Therefore the perimeter of the above Rectangle is 68 m.

Lesson 13.2

Find the area of the rectangle or square.

Question 5.

A = ____ square inches

Answer: 180

Explanation:
Given,
Height (h) = 15 in.
Breath (b) = 12 in.
Area of the rectangle =  A = b×h
A = 12 in. × 15 in.
A = 180 square inches
Therefore the Area of the rectangle is 180 square inches.

Question 6.

A = ____ square yards

Answer: 300

Explanation:
Given,
Height (h) = 15 yd
Breath (b) = 20 yd
Area of the rectangle =  A = b×h
A = 15 yd. × 20 yd
A = 300 square yard
Therefore the Area of the rectangle is 300 square yards.

Question 7.

A = ____ square km

Answer: 25

Explanation:
Given,
Sides (s) = 5 km
Area of the square. A = s×s
A = 5 km × 5 km
A = 25 Square km
Therefore the Area of the square is 25 square km.

Question 8.

A = ____ square ft

Answer: 98

Explanation:
Given,
Height (h) = 14 ft
Breath (b) = 7 ft
Area of the rectangle =  A = b×h
A = 14 ft. × 7 ft
A = 98 square ft
Therefore the Area of the rectangle is 98 square ft.

Page No: 258

Lesson 13.3

Find the area of the combined rectangles.

Question 1.

A = ____ square cm

Answer: 116 square cm

Explanation:
Divide the figure into two parts
Figure 1:
L = 6 cm
Area of the square = s × s
A = 6 cm × 6 cm = 36 sq. cm.
Figure 2:
L = 10 cm
W = 8 cm
Area of the rectangle = l × w
A = 10 cm × 8 cm = 80 sq. cm
Area of the combined rectangles = 36 sq. cm + 80 sq. cm = 116 square centimeters

Question 2.

A = ____ square in.

Answer: 112 square in.

Explanation:
Divide the figure into two parts
Figure 1:
L = 8 in.
W = 4 in.
Area of the rectangle = l × w
A = 8 in. × 4 in. = 32 sq. in.
Figure 2:
L = 4 in.
W = 12 in.
Area of the rectangle = l × w
A = 4 in. × 12 in. = 48 sq. in.
Figure 3:
L = 8 in.
W = 4 in.
Area of the rectangle = l × w
A = 8 in. × 4 in. = 32 sq. in.
Area of the combined rectangles = 32 sq. in + 48 sq. in + 32 sq. in. = 112 square inches.

Lesson 13.4

Find the unknown measure of the rectangle.

Question 3.

base = ____ feet

Answer: 25 feet

Explanation:
A = 375 sq. ft
h = 15 ft
Area of the rectangle =  A = b×h
375 sq. ft = b × 15 ft
b = 375/15 = 25 ft
Thus the base of the figure is 25 ft.

Question 4.

height = ____ mi

Answer: 8 mi

Explanation:
A = 56 sq. mi
b = 7 mi
Area of the rectangle =  A = b×h
56 sq. mi = 7 mi × h
h = 56/7= 8 mi
Thus the height of the figure is 8 mi.

Lesson 13.5

Solve.

Question 5.
Jeanette is painting a rectangular wall that is 10 feet long and 8 feet tall. There is a window that is 5 feet wide and 3 feet tall on the wall. What is the area of the wall that Jeannette will paint?
____ square feet

Answer: 65 square feet

Explanation:
Given,
Jeanette is painting a rectangular wall that is 10 feet long and 8 feet tall.
There is a window that is 5 feet wide and 3 feet tall on the wall.
8 times 10 is eighty, then you need to subtract 3 times 5 (which is 15), and that makes it 65 feet squared.
80 sq. ft – 15 sq. ft = 65 square feet

Question 6.
Rob has a combined flower and vegetable garden that is 9 meters long and 11 meters wide. The flower garden is in the center and is a square with sides of 3 meters. How many square meters of the garden is used for vegetables?
____ square meters

Answer: 90 square meters

Explanation:
First, you would need to find the area of both the FULL veggie garden and flower garden.
Veggie Garden = 9×11 = 99
Flower Garden = 3×3 = 9
Then you would subtract the area of the veggie garden by the area of the flower garden.
99 – 9 = 90 meters squared

Conclusion:

In this chapter, you can learn the concepts of Chapter 13 Algebra Perimeter and Area here. Get the simple tricks to solve the problems with the help of our Go Math Answer Key. In addition to the Homework Practice FL you can get the explanation for Go Math Grade 4 Answer Key Chapter 13: Algebra: Perimeter and Area from here.