McGraw Hill Math

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 6 Multiplying by Multi-digit Whole Numbers are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 3 Lesson 6 Multiplying by Multi-digit Whole Numbers

Solve.

Question 1.
149 × 51 = ____
Answer:
149 × 51 = 7,599.

Explanation:
By multiplying 149 and 51 we will get 149 × 51 which is 7,599.

Question 2.
63 × 22 = _____
Answer:
63 × 22 = 1,386.

Explanation:
By multiplying 63 and 22 we will get 63 × 22 which is 1,386.

Question 3.
147 × 17 = ____
Answer:
147 × 17 = 2,499.

Explanation:
By multiplying 147 and 17 we will get 147 × 17 which is 2,499.

Question 4.
239 × 41 = ____
Answer:
239 × 41 = 9,799.

Explanation:
By multiplying 239 and 41 we will get 239 × 41 which is 9,799.

Question 5.
403 × 39 = ____
Answer:
403 × 39 = 15,717.

Explanation:
By multiplying 403 and 39 we will get 403 × 39 which is 15,717.

Question 6.
711 × 15 = ___
Answer:
711 × 15 = 10,665.

Explanation:
By multiplying 711 and 15 we will get 711 × 15 which is 10,665.

Question 7.
934 × 21 = ___
Answer:
934 × 21 = 19,614.

Explanation:
By multiplying 934 and 21 we will get 934 × 21 which is 19,614.

Question 8.
195 × 39 = ____
Answer:
195 × 39 = 7,605.

Explanation:
By multiplying 195 and 39 we will get 195 × 39 which is 7,605.

Question 9.
225 × 25 = ___
Answer:
225 × 25 = 5,625.

Explanation:
By multiplying 225 and 25 we will get 225 × 25 which is 5,625.

Question 10.

Answer:
321 × 23 = 7,383

Explanation:
By multiplying 321 and 23 we will get 321 × 23 which is 7,383.

Question 11.

Answer:
602 × 17 = 10,234.

Explanation:
By multiplying 602 and 17 we will get 602 × 17 which is 10,234.

Question 12.

Answer:
700 × 89 = 62,300.

Explanation:
By multiplying 700 and 89 we will get 700 × 89 which is 62,300.

Question 13.

Answer:
538 × 49 = 26,362.

Explanation:
By multiplying 538 and 49 we will get 538 × 49 which is 26,362.

Question 14.
About 4 yards of fabric are needed to make one robe for a singer in the Harvest School Glee Club. There are 156 singers in the glee club. How much fabric is needed to make 3 robes for each singer?
Answer:
The fabric needed is 1,872 yards.

Explanation:
Given that about 4 yards of fabric are needed to make one robe for a singer in the Harvest School Glee Club and there are 156 singers in the glee club. So for 3 robes, it will be 3×4 = 12 yards. As there are 156 singers the fabric needed is 156×12 which is 1,872 yards.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 4 Lesson 1 Models for Multiplying Decimals are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 4 Lesson 1 Models for Multiplying Decimals

Estimate. Then multiply and describe your strategy.

Question 1.
Estimate: 0.21 × 4 = 0.80
Multiply: 0.21 × 4 = ________________________
Strategy: ________________________________
Answer:
Estimate: 0.21 × 4 = 0.80
Multiply: 0.21 × 4 = 0.84

Explanation:
Given the expression is 0.21 × 4, so the product will be 0.84 and the estimation will be 0.80.

Question 2.
Estimate: 0.11 × 3 = __________
Multiply: 0.11 × 3 = ________________________
Strategy: ________________________________
Answer:
Estimate: 0.21 × 4 = 0.80
Multiply: 0.21 × 4 = 0.84

Explanation:
Given the expression is 0.21 × 4, so the product will be 0.84 and the estimation will be 0.80.

Question 3.
Estimate: 0.25 × 4 = _____
Multiply: 0.25 × 4 = ________________________
Strategy: ________________________________
Answer:
Estimate: 0.25 × 4 = 1
Multiply: 0.25 × 4 = 1

Explanation:
Given the expression is 0.21 × 4, so the product will be 1 and the estimation will be 1.

Question 4.
Estimate: 0.51 × 6 = ______
Multiply: 0.51 × 6 = ________________________
Strategy: ________________________________
Answer:
Estimate: 0.51 × 6 = 3.1
Multiply: 0.51 × 6 = 3.06

Explanation:
Given the expression is 0.51 × 6, so the product will be 3.06 and the estimation will be 3.1.

Question 5.
Estimate: 0.96 × 4 = _______
Multiply: 0.96 × 4 = ________________________
Strategy: ________________________________
Answer:
Estimate: 0.96 × 4 = 4
Multiply: 0.96 × 4 = 3.84

Explanation:
Given the expression is 0.96 × 4, so the product will be 3.84 and the estimation will be 4.

Question 6.
Estimate: 0.80 × 5 = _____
Multiply: 0.80 × 5 = ________________________
Strategy: ________________________________
Answer:
Estimate: 0.80 × 5 = 4
Multiply: 0.80 × 5 = 4

Explanation:
Given the expression is 0.80 × 5, so the product will be 4 and the estimation will be 4.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 4 Lesson 2 Multiplying Decimals are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 4 Lesson 2 Multiplying Decimals

Solve

Estimate and multiply to complete the table.

Question 1.
2.1 × 2 =
Estimate: >4
Product: 4.2
Answer:
Estimate: 4
Product: 4.2

Explanation:
Given the expression is 2.1 × 2 which is
= 2.1 × 2
= 4.2

Question 2.
3.93 × 3 =
Estimate:
Product:
Answer:
Estimate: 12
Product: 11.79

Explanation:
Given the expression is 3.93 × 3 which is
= 3.93 × 3
= 11.79

Question 3.
2.22 × 8 =
Estimate:
Product:
Answer:
Estimate: 18
Product: 17.76

Explanation:
Given the expression is 2.22 × 8 which is
= 2.22 × 8
= 17.76

Question 4.
8.24 × 4 =
Estimate:
Product:
Answer:
Estimate: 33
Product: 32.96

Explanation:
Given the expression is 8.24 × 4 which is
= 8.24 × 4
= 32.96

Question 5.
4.01 × 7 =
Estimate:
Product:
Answer:
Estimate: 28
Product: 28.07

Explanation:
Given the expression is 4.01 × 7 which is
= 4.01 × 7
= 28.07

Question 6.
4.12 × 3 =
Estimate:
Product:
Answer:
Estimate: 12
Product: 12.36

Explanation:
Given the expression is 4.12 × 3 which is
= 4.12 × 3
= 12.36

Question 7.
5.54 × 3 =
Estimate:
Product:
Answer:
Estimate: 17
Product: 16.62

Explanation:
Given the expression is 5.54 × 3 which is
= 5.54 × 3
= 16.62

Question 8.
0.98 × 7 =
Estimate:
Product:
Answer:
Estimate: 7
Product: 6.86

Explanation:
Given the expression is 0.98 × 7 which is
= 0.98 × 7
= 6.86

Question 9.
7.03 × 7 =
Estimate:
Product:
Answer:
Estimate: 49
Product: 49.21

Explanation:
Given the expression is 7.03 × 7 which is
= 7.03 × 7
= 49.21

Question 10.
1.56 × 4 =
Estimate:
Product:
Answer:
Estimate: 6
Product: 6.24

Explanation:
Given the expression is 1.56 × 4 which is
= 1.56 × 4
= 6.24

Question 11.
Small jars of prize-winning jam cost $1.39 each. What is the cost of 6 jars of jam?
Answer:
The cost of 6 jars of jam is $8.34.

Explanation:
Given that small jars of prize-winning jam cost $1.39 each. So the cost of 6 jars of jam is $1.39 × 6 = $8.34.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 4 Lesson 6 Dividing Decimals are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 4 Lesson 6 Dividing Decimals

Solve

Estimate and divide to complete the table.

Question 1.
1.2 ÷ 6 =
Estimate: 0.2
Quotient: 0.2
Answer:
Estimate: 0.2
Quotient: 0.2

Explanation:
Given that the expression is 1.2 ÷ 6. So the quotient is 0.2 and the estimated is 0.2.

Question 2.
4.4 ÷ 2 =
Estimate:
Quotient:
Answer:
Estimate: 2
Quotient: 2.2

Explanation:
Given that the expression is 4.4 ÷ 2. So the quotient is 2.2 and the estimated is 2.

Question 3.
5.6 ÷ 8 =
Estimate:
Quotient:
Answer:
Estimate: 1
Quotient: 0.7

Explanation:
Given that the expression is 5.6 ÷ 8. So the quotient is 0.7 and the estimated is 1.

Question 4.
56 ÷ 0.8 =
Estimate:
Quotient:
Answer:
Estimate: 70
Quotient: 70

Explanation:
Given that the expression is 56 ÷ 0.8. So the quotient is 70 and the estimated is 70.

Question 5.
3.9 ÷ 3 =
Estimate:
Quotient:
Answer:
Estimate: 1
Quotient: 1.3

Explanation:
Given that the expression is 3.9 ÷ 3. So the quotient is 1.3 and the estimated is 1.

Question 6.
6.4 ÷ 4 =
Estimate:
Quotient:
Answer:
Estimate: 2
Quotient: 1.6.

Explanation:
Given that the expression is 6.4 ÷ 4. So the quotient is 1.6 and the estimated is 2.

Question 7.
35 ÷ 0.7 =
Estimate:
Quotient:
Answer:
Estimate: 50
Quotient: 50

Explanation:
Given that the expression is 35 ÷ 0.7. So the quotient is 50 and the estimated is 50.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 4 Lesson 7 Dividing Decimals by Powers of Ten are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 4 Lesson 7 Dividing Decimals by Powers of Ten

Write the missing numbers.

Question 1.
1.5 ÷ 10³ =
1.5 ÷ (10 × 10 × 10) =
1 ÷ (10 × 10 × 10) + 0.5 ÷ (10 × 10 × 10) =
(0.001) + (0.0005) = 0.00015
Answer:
1.5 ÷ 10³ = 0.00015.

Explanation:
Given the expression is 1.5 ÷ 10³ which is
= 1.5 ÷ 10 × 10 × 10
= 1 ÷ (10 × 10 × 10) + 0.5 ÷ (10 × 10 × 10)
= 0.001 + 0.0005
= 0.00015.

Question 2.
0.9 + 10² =
0.9 ÷ (_________ × _________)
0.9 ÷ (100) = _____
Answer:

Explanation:
Given the expression is 0.9 + 10² which is
= 0.9 + 10²
= 0.9 + (10×10)
= 0.9 + 100
= 100.9

Estimate. Then divide.

Question 3.
17.76 ÷ 10² = Estimate: _____
Quotient: _____
Answer:
17.76 ÷ 10² = 0.1776.

Explanation:
Given the expression is 17.76 ÷ 10² which is
= 17.76 ÷ (10 × 10)
= 17.76 ÷ 100
= 0.1776

Question 4.
10.24 ÷ 10³ = Estimate: _____
Quotient: _______
Answer:
10.24 ÷ 10³ = 0.01024.

Explanation:
Given the expression is 10.24 ÷ 10³ which is
= 10.24 ÷ (10 × 10 × 10)
= 10.24 ÷ 1000
= 0.01024.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 4 Lesson 8 Strategies for Dividing Decimals are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 4 Lesson 8 Strategies for Dividing Decimals

Solve

Estimate and divide to complete the table. You can use the grids to help.

Question 1.
120 ÷ 0.6 =
Estimate: 200
Quotient: 200
Answer:
Estimate: 200
Quotient: 200

Explanation:
Given that the expression is 120 ÷ 0.6. So the quotient is 200 and the estimated is 200.

Question 2.
44 ÷ 0.02 =
Estimate:
Quotient:
Answer:
Estimate: 2,000
Quotient: 2,200

Explanation:
Given that the expression is 44 ÷ 0.02. So the quotient is 2,200 and the estimated is 2,000.

Question 3.
56.7 ÷ 7 =
Estimate:
Quotient:
Answer:
Estimate: 8.
Quotient: 8.1

Explanation:
Given that the expression is 56.7 ÷ 7. So the quotient is 8.1 and the estimated is 8.

Question 4.
56.7 ÷ 0.7 =
Estimate:
Quotient:
Answer:
Estimate: 80.
Quotient: 81

Explanation:
Given that the expression is 56.7 ÷ 0.7. So the quotient is 81 and the estimated is 80.

Question 5.
399 ÷ 0.3 =
Estimate:
Quotient:
Answer:
Estimate: 0.1
Quotient: 0.2

Explanation:
Given that the expression is 1.2 ÷ 6. So the quotient is 0.2 and the estimated is 0.1.

Question 6.
0.64 ÷ 4 =
Estimate:
Quotient:
Answer:
Estimate: 0.2
Quotient: 0.16

Explanation:
Given that the expression is 0.64 ÷ 4. So the quotient is 0.16 and the estimated is 0.2.

Question 7.
Barbara owes $9.000 on her car loan. She pays interest every month on the amount that is still owed. The interest is 0.01% per month. Write a division or multiplication equation to find the
interest on the car loan this month.
How much is the interest this month? __________
Answer:
The interest for this month is $0.90.

Explanation:
Given that Barbara owes $9.000 on her car loan and she pays interest every month on the amount that is still owed. As the interest is 0.01% per month. So the equation will be $9,000×0.01% which is 90÷100 = $0.90.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 4 Lesson 9 Problem Solving are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 4 Lesson 9 Problem Solving

Solve each problem. Work backward if you need to.

Question 1.
June picks several baskets of apples. She keeps half the baskets for herself. She gives the rest to 3 friends. Each friend got 2 baskets of apples. How many baskets of apples did June pick?
12 baskets; 2 × 3 = 6 baskets; 6 baskets × 2 = 12 baskets

Answer:
Number of baskets is 12 baskets.

Explanation:
Given that June picks several baskets of apples and she keeps half the baskets for herself then she gives the rest to 3 friends. As each friend got 2 baskets of apples. So the number of baskets of apples did June picked is 2×3 = 6 baskets. As each friend got 2 baskets of apples is 6×2 = 12 baskets.

Question 2.
Myrna and Barry have a goat farm. They began with a certain number of goats, and every year after that, the goat population doubled. In 5 years, Myrna and Barry had 144 goats. How many goats did they begin with?
Answer:
The number of goats did they begin with is 72 goats.

Explanation:
Given that Myrna and Barry have a goat farm and they began with a certain number of goats, and every year after that, the goat population doubled in 5 years. So the number of goats did they begin with is 144÷2 which is 72 goats.

Question 3.
Marvin wants to know the age of Mr. Fogel’s horse. Mr Fogel told Marvin that if he added 10 years to the age of the horse and then doubled it, the horse would be 44 years old. How old is the horse?
Answer:
The age of Marvin is 12 years.

Explanation:
Given that Mr Fogel told Marvin that if he added 10 years to the age of the horse and then doubled it, the horse would be 44 years old. LEt the age of Marvin be X, as he added 10 which is X+10 and then doubled which is 2(X+10) = 44
X + 10 = 44 ÷ 2
X + 10 = 22
X = 22 – 10
= 12 years.
So the age of Marvin is 12 years.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 5 Lesson 1 Order of Operations are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 5 Lesson 1 Order of Operations

Solve.

Follow the directions to simplify each expression.

Question 1.
(15 – 5)³ – (40 × 5) × (8 – 5) + 10² =
Simplify inside parentheses: (10)³ — (200) × (3) + 10²
Simplify exponents: _____________________
Multiply: _____________________
Add and subtract from left to right: _____________________
Final answer: _____________________
Answer:
(15 – 5)³ – (40 × 5) × (8 – 5) + 10² = 500.

Explanation:
Given the expression is (15 – 5)³ – (40 × 5) × (8 – 5) + 10² which is
= (10)³ – (200) × (3) + 10² =
= 1000 – 600 + 100
= 1000 – 500
= 500.

Question 2.
(25 × 4) × (9 – 4) + (10 – 5)² – 10¹ =
Simplify inside parentheses: _____________________
Simplify exponents: _____________________
Multiply: _____________________
Add and subtract from left to right: _____________________
Final answer: _____________________
Answer:
(25 × 4) × (9 – 4) + (10 – 5)² – 10¹ = 515.

Explanation:
Given the expression is (25 × 4) × (9 – 4) + (10 – 5)² – 10¹ which is
= (100) × (5) + (5)² – 10¹
= 500 + 25 – 10
= 525 – 10
= 515.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Lesson 9 Problem Solving: Draw a Picture to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 9 Lesson 9 Problem Solving: Draw a Picture

Solve

Question 1.
Look at the drawing below. Sean begins at the starting point and jogs 0.8 miles. Where on the drawing would he stop?

Answer:
Given that,
Sean begins at the starting point is 0 miles.
Sean jogs for 0.8 miles.
On the diagram he stops at the 0.8 miles.

Question 2.
A road is being planned for a new town. The road needs to be 0.5 miles long. The planner marked 0.2 on the drawing of the road. Where should the 0.5-mile mark be placed?

Answer:
Given that,
The road needs 0.5 miles long.
The planner marked 0.2 on the road.
Therefore 0.5 – 0.2 = 0.3
Add 0.3 miles to the marked on the road.

Question 3.
A football meet lasts 3 days. There were many teams at the football meet, and each team had 11 players. Is it possible to find how many players there were in all? Why or why not?
Answer:
Given that,
A football meet last 3 days.
Each team has 11 players.
It is not possible to find the how many players are there in all.
Because in the given question they are not given the number of teams. If they given the number of player you can find the number of players in all by multiplying the number of teams by numbers in each team.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 9 Test to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Chapter 9 Test Answer Key

Multiply by 10 to find an equivalent fraction for each.

Question 1.
\(\frac{5}{10}\)
Answer:
\(\frac{5}{10}\) × \(\frac{10}{10}\) = \(\frac{50}{10}\)

Question 2.
\(\frac{3}{10}\)
Answer:
\(\frac{3}{10}\) × \(\frac{10}{10}\) = \(\frac{30}{10}\)

Question 3.
\(\frac{8}{10}\)
Answer:
\(\frac{8}{10}\) × \(\frac{10}{10}\) = \(\frac{80}{10}\)

Divide by 10 to find an equivalent fraction for each.

Question 4.
\(\frac{20}{100}\)
Answer:
\(\frac{20}{100}\) ÷ \(\frac{10}{10}\) = \(\frac{2}{10}\)

Question 5.
\(\frac{10}{100}\)
Answer:
\(\frac{10}{100}\) ÷ \(\frac{10}{10}\) = \(\frac{1}{10}\)

Question 6.
\(\frac{70}{100}\)
Answer:
\(\frac{70}{100}\) ÷ \(\frac{10}{10}\) = \(\frac{7}{10}\)

Add. Write your answers in simplest form.

Question 7.
\(\frac{1}{10}\) + \(\frac{3}{10}\) = ____________
Answer:
The denominators of the given fractions are same so add the numerators.
\(\frac{1}{10}\) + \(\frac{3}{10}\) = \(\frac{4}{10}\) = \(\frac{2}{5}\)

Question 8.
\(\frac{46}{100}\) + \(\frac{25}{100}\) = ____________
Answer:
The denominators of the given fractions are same so add the numerators.
\(\frac{46}{100}\) + \(\frac{25}{100}\) = \(\frac{71}{100}\)

Question 9.
\(\frac{4}{10}\) + \(\frac{17}{100}\) = ____________
Answer:
\(\frac{4}{10}\) × \(\frac{10}{10}\) = \(\frac{40}{10}\)
\(\frac{40}{10}\) + \(\frac{17}{100}\) = \(\frac{57}{100}\)

Plot each decimal point or fraction on the number line provided.

Question 10.
Plot \(\frac{3}{5}\) on the number line. Label it A.
Answer:
\(\frac{3}{5}\) = 0.6

Question 11.
Plot 0.20 on the number line. Label it B.
Answer:

Question 12.
Plot \(\frac{5}{10}\) on the number line. Label it C.
Answer:
\(\frac{5}{10}\) = \(\frac{1}{2}\) = 0.5

Solve.

Question 13.
Look at the drawing below. Pedro begins at the starting point and hikes 1.2 miles. Where on the drawing does he stop?

Answer:
0.4 × 3 = 1.2 miles

Write each fraction or mixed number as a decimal.

Question 14.
\(\frac{6}{10}\)
Answer:
\(\frac{6}{10}\) in the decimal form can be written as 0.6

Question 15.
2\(\frac{78}{100}\)
Answer:
2\(\frac{78}{100}\) = \(\frac{278}{100}\)
\(\frac{278}{100}\) in the decimal form can be written as 2.78

Question 16.
42\(\frac{7}{10}\)
Answer:
42\(\frac{7}{10}\) = \(\frac{427}{10}\) = 42.7
42\(\frac{7}{10}\) in the decimal form can be written as 42.7

Write the value of each underlined digit.

Question 17.
1.25
Answer:
The place value of underlined digit 5 is 5 hundredths

Question 18.
0.48
Answer:
The place value of underlined digit 4 is 4 tenths.

Question 19.
3.56
Answer:
The place value of underlined digit 3 is the whole number.

Compare. Write <, >, or = for each.

Question 20.
0.41 ___________ 0.14
Answer:
0.41 is greater than 0.14
0.41 > 0.14

Question 21.
1.72 ____________ 1.72
Answer:
1.72 is equal to 1.72
1.72 = 1.72

Question 22.
3.81 ____________ 3.85
Answer:
3.81 is less than 3.85
3.81 < 3.85

Write the amount with a dollar sign and decimal point.

Question 23.
1 dollar + 4 dimes + 7 pennies
Answer:
1 dime = $0.10
1 penny = $0.01
$1 + $0.10 + $0.01 = $1.11

Question 24.
2 dollars + 5 pennies
Answer:
1 penny = $0.01
$2 + $0.05 = $2.05

Solve.

Question 25.
Benjamin and Bob went to the beach. Benjamin drew a line in the sand. It measured 3.48 feet. Bob drew a line that measured 2.39 yards. Benjamin says that since 3.48 is greater than 2.39, his line is longer. Do you agree? Why or why not?
Answer:
Given,
Benjamin and Bob went to the beach. Benjamin drew a line in the sand.
It measured 3.48 feet.
3.48 ft = 1.16 yard
Bob drew a line that measured 2.39 yards.
1.16 yards is less than 2.39 yards
Benjamin says that since 3.48 is greater than 2.39
No, Benjamin is incorrect.

Question 26.
A German shepherd named Mindy weighs 74.09 pounds. Another German shepherd weighs 74.32 pounds. Would comparing these weights be valid? Why?
Answer:
Given,
A German shepherd named Mindy weighs 74.09 pounds.
Another German shepherd weighs 74.32 pounds.
74.09 is less than 74.32
74.09 < 74.32