Go Math Answer Key

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 9.1 Ratios will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 9.1 Ratios

Exercises Solve

Question 1.
A group of 7 friends has 15 dollars to share What is each person’s share?
Answer:
Number of dollars each person shares = 2.14.

Explanation:
Number of friends = 7.
Number of dollars they have = 15.
Number of dollars each person shares = Number of dollars they have ÷ Number of friends
= 15 ÷ 7
= 2.14

Question 2.
Gail rode her bicycle 325 miles in 5 days. How many miles did she ride each day?
Answer:
Number of miles she rides each day = 65.

Explanation:
Number of miles Gail rode her bicycle = 325.
Number of days = 5.
Number of miles she rides each day = Number of miles Gail rode her bicycle ÷ Number of days
= 325 ÷ 5
= 65.

Question 3.
A diesel engine uses 100 quarts of oil for cooling. If the engine has 6 cylinders, how many quarts are there per cylinder?
Answer:
Number of quarts are there per cylinder = 16.67.

Explanation:
Number of quarts of oil for cooling a diesel engine uses = 100.
Number of cylinders the engine has = 6.
Number of quarts are there per cylinder = Number of quarts of oil for cooling a diesel engine uses ÷ Number of cylinders the engine has
= 100 ÷ 6
= 16.67.

Question 4.
Jack used 6 pounds of butter in a recipe for 30 loaves of bread. How much butter did he use for each loaf of bread?
Answer:
Number of pounds of butter he uses for each loaf of bread = 5.

Explanation:
Number of pounds of butter in a recipe Jack used = 6.
Number of loaves of bread Jack uses = 30.
Number of pounds of butter he uses for each loaf of bread = Number of loaves of bread Jack uses ÷ Number of pounds of butter in a recipe Jack used
= 30 ÷ 6
= 5.

Question 5.
It took 75 tons of gravel to cover 3 miles of road. How much gravel was used for each mile?
Answer:
Number of tons of gravel used for each mile = 25.

Explanation:
Number of tons of gravel used = 75.
Number of miles of road = 3.
Number of tons of gravel used for each mile = Number of tons of gravel used ÷ Number of miles of road
= 75 ÷ 3
= 25.

Question 6.
At a restaurant, 6 people want to share 3 pizzas. if there are 8 slices in every pizza, how many slices does each person get?
Answer:
Number of slices each person gets = 4.

Explanation:
Number of people = 6.
Number of pizzas to share = 3.
Number of slices in every pizza = 8.
Total number of slices of pizzas = Number of pizzas to share × Number of slices in every pizza
= 3 × 8
= 24.
Number of slices each person gets = Total number of slices of pizzas ÷ Number of people
= 24 ÷ 6
= 4.

Question 7.
If a house has 2,000 square feet of wall surface to be painted and Marcia has already painted 1,600 square feet, what portion of the wall still needs to be painted?
Answer:
Number of square feet of portion of the wall still needs to be painted = 400.

Explanation:
Number of square feet of wall surface to be painted in a house = 2,000.
Number of square feet of Marcia has already painted = 1,600.
Number of square feet of portion of the wall still needs to be painted = Number of square feet of wall surface to be painted in a house – Number of square feet of Marcia has already painted
= 2,000 – 1,600
= 400.

Question 8.
Tom put 8 gallons of gasoline into a 23-gallon tank. How much of the tank did he fill?
Answer:
Number of gallons of the tank he fills = 15.

Explanation:
Number of gallons of gasoline Tom puts = 8.
Number of gallons of gasoline tank = 23.
Number of gallons of the tank he fills = Number of gallons of gasoline tank – Number of gallons of gasoline Tom puts
= 23 – 8
= 15.

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 3.4 Adding or Subtracting Fractions with Unlike Denominators to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 3.4 Adding or Subtracting Fractions with Unlike Denominators

Exercises Add or Subtract

Question 1.
\(\frac{3}{4}\) + \(\frac{2}{5}\)
Answer:
\(\frac{23}{20}\) or 1\(\frac{3}{20}\),

Explanation:
Given to add \(\frac{3}{4}\) + \(\frac{2}{5}\) as
both don’t have common denominators first we multiply \(\frac{3}{4}\) by 5 and \(\frac{2}{5}\) by 4 we get
\(\frac{3 X 5}{4 X 5}\) = \(\frac{15}{20}\) and
\(\frac{2 X 4}{5 X 4}\) = \(\frac{8}{20}\)
now we add numerators as \(\frac{15 + 8}{20}\) = \(\frac{23}{20}\) as numerator is greater than denominator we write in mixed fraction as \(\frac{1 X 20 + 3}{20}\) = 1\(\frac{3}{20}\).

Question 2.
\(\frac{5}{7}\) + \(\frac{1}{3}\)
Answer:
\(\frac{22}{21}\) or 1\(\frac{1}{21}\),

Explanation:
Given to add \(\frac{5}{7}\) + \(\frac{1}{3}\) as
both don’t have common denominators first we multiply \(\frac{5}{7}\) by 3 and \(\frac{1}{3}\) by 7 we get
\(\frac{5 X 3}{7 X 3}\) = \(\frac{15}{21}\) and
\(\frac{1 X 7}{3 X 7}\) = \(\frac{7}{21}\)
now we add numerators as \(\frac{15 + 7}{21}\) = \(\frac{22}{21}\) as numerator is greater than denominator we write in mixed fraction as \(\frac{1 X 21 + 1}{21}\) = 1\(\frac{1}{21}\).

Question 3.
\(\frac{11}{20}\) + \(\frac{2}{3}\)
Answer:
\(\frac{73}{60}\) or 1\(\frac{13}{60}\),

Explanation:
Given to add \(\frac{11}{20}\) + \(\frac{2}{3}\) as
both don’t have common denominators first we multiply \(\frac{11}{20}\) by 3 and \(\frac{2}{3}\) by 20 we get
\(\frac{11 X 3}{20 X 3}\) = \(\frac{33}{60}\) and
\(\frac{2 X 20}{3 X 20}\) = \(\frac{40}{60}\)
now we add numerators as \(\frac{33 + 40}{60}\) = \(\frac{73}{60}\) as numerator is greater than denominator we write in mixed fraction as \(\frac{1 X 60 + 13}{60}\) = 1\(\frac{13}{60}\).

Question 4.
\(\frac{1}{4}\) – \(\frac{1}{13}\)
Answer:
\(\frac{9}{52}\),

Explanation:
Given to subtract \(\frac{1}{4}\) – \(\frac{1}{13}\) as
both don’t have common denominators first we multiply \(\frac{1}{4}\) by 13 and \(\frac{1}{13}\) by 4 we get
\(\frac{1 X 13}{4 X 13}\) = \(\frac{13}{52}\) and
\(\frac{1 X 4}{13 X 4}\) = \(\frac{4}{52}\)
now we subtract numerators as \(\frac{13 – 4}{52}\) = \(\frac{9}{52}\).

Question 5.
\(\frac{1}{4}\) – \(\frac{1}{9}\)
Answer:
\(\frac{5}{36}\),

Explanation:
Given to subtract \(\frac{1}{4}\) – \(\frac{1}{9}\) as
both don’t have common denominators first we multiply \(\frac{1}{4}\) by 9 and \(\frac{1}{9}\) by 4 we get
\(\frac{1 X 9}{4 X 9}\) = \(\frac{9}{36}\) and
\(\frac{1 X 4}{9 X 4}\) = \(\frac{4}{36}\)
now we subtract numerators as \(\frac{9 – 4}{36}\) = \(\frac{5}{36}\).

Question 6.
\(\frac{2}{21}\) + \(\frac{1}{3}\)
Answer:
\(\frac{27}{63}\) or \(\frac{9}{21}\) or
\(\frac{3}{7}\),

Explanation:
Given to add \(\frac{2}{21}\) + \(\frac{1}{3}\) as
both don’t have common denominators first we multiply \(\frac{2}{21}\) by 3 and \(\frac{1}{3}\) by 21 we get
\(\frac{2 X 3}{21 X 3}\) = \(\frac{6}{63}\) and
\(\frac{1 X 21}{3 X 21}\) = \(\frac{21}{63}\)
now we add numerators as \(\frac{6 + 21}{63}\) = \(\frac{27}{63}\) further can be divided by 3 we get \(\frac{9}{21}\) again further can be divided by 3 we get \(\frac{3}{7}\).

Question 7.
\(\frac{34}{11}\) – \(\frac{1}{3}\)
Answer:
\(\frac{91}{33}\) or 2\(\frac{25}{33}\),

Explanation:
Given to subtract \(\frac{34}{11}\) – \(\frac{1}{3}\) as
both don’t have common denominators first we multiply \(\frac{34}{11}\) by 3 and \(\frac{1}{3}\) by 11 we get
\(\frac{34 X 3}{11 X 3}\) = \(\frac{102}{33}\) and
\(\frac{1 X 11}{3 X 11}\) = \(\frac{11}{33}\)
now we subtract numerators as \(\frac{102 – 11}{33}\) = \(\frac{91}{33}\) as numerator is greater than denominator we write in mixed fraction as \(\frac{2 X 33 + 25}{33}\) = 2\(\frac{25}{33}\).

Question 8.
\(\frac{11}{7}\) + \(\frac{1}{6}\)
Answer:
\(\frac{73}{42}\) or 1\(\frac{31}{42}\),

Explanation:
Given to add \(\frac{11}{7}\) + \(\frac{1}{6}\) as
both don’t have common denominators first we multiply \(\frac{11}{7}\) by 6 and \(\frac{1}{6}\) by 7 we get
\(\frac{11 X 6}{7 X 6}\) = \(\frac{66}{42}\) and
\(\frac{1 X 7}{6 X 7}\) = \(\frac{7}{42}\)
now we add numerators as \(\frac{66 + 7}{42}\) = \(\frac{73}{42}\) as numerator is greater than denominator we write in mixed fraction as \(\frac{1 X 42 + 31}{42}\) = 1\(\frac{31}{42}\).

Question 9.
\(\frac{11}{15}\) – \(\frac{2}{3}\)
Answer:
\(\frac{3}{45}\) or \(\frac{1}{15}\),

Explanation:
Given to subtract \(\frac{11}{15}\) – \(\frac{2}{3}\) as
both don’t have common denominators first we multiply \(\frac{11}{15}\) by 3 and \(\frac{2}{3}\) by 15 we get
\(\frac{11 X 3}{15 X 3}\) = \(\frac{33}{45}\) and
\(\frac{2 X 15}{3 X 15}\) = \(\frac{30}{45}\)
now we subtract numerators as \(\frac{33 – 30}{45}\) = \(\frac{3}{45}\) further can be divided by 3 we get \(\frac{1}{15}\).

Question 10.
\(\frac{5}{8}\) – \(\frac{2}{7}\)
Answer:
\(\frac{19}{56}\),

Explanation:
Given to subtract \(\frac{5}{8}\) – \(\frac{2}{7}\) as
both don’t have common denominators first we multiply \(\frac{5}{8}\) by 7 and \(\frac{2}{7}\) by 8 we get
\(\frac{5 X 7}{8 X 7}\) = \(\frac{35}{56}\) and
\(\frac{2 X 8}{7 X 8}\) = \(\frac{16}{56}\)
now we subtract numerators as \(\frac{35 – 16}{56}\) = \(\frac{19}{56}\).

Question 11.
\(\frac{14}{11}\) + \(\frac{3}{7}\)
Answer:
\(\frac{131}{77}\) or 1\(\frac{54}{77}\),

Explanation:
Given to add \(\frac{14}{11}\) + \(\frac{3}{7}\) as
both don’t have common denominators first we multiply \(\frac{14}{11}\) by 7 and \(\frac{3}{7}\) by 11 we get
\(\frac{14 X 7}{11 X 7}\) = \(\frac{98}{77}\) and
\(\frac{3 X 11}{7 X 11}\) = \(\frac{33}{77}\)
now we add numerators as \(\frac{98 + 33}{77}\) = \(\frac{131}{77}\) as numerator is greater than denominator we write in mixed fraction as \(\frac{1 X 77 + 54}{77}\) = 1\(\frac{54}{77}\).

Question 12.
\(\frac{11}{12}\) – \(\frac{3}{5}\)
Answer:
\(\frac{47}{60}\),

Explanation:
Given to subtract \(\frac{11}{12}\) – \(\frac{3}{15}\) as
both don’t have common denominators first we multiply \(\frac{11}{12}\) by 15 and \(\frac{3}{15}\) by 12 we get
\(\frac{11 X 15}{12 X 15}\) = \(\frac{165}{180}\) and
\(\frac{2 X 12}{15 X 12}\) = \(\frac{24}{180}\)
now we subtract numerators as \(\frac{165 – 24}{180}\) = \(\frac{141}{180}\) further can be divided by 3 we get \(\frac{47}{60}\).

All the solutions provided in McGraw Hill Math Grade 1 Answer Key PDF Chapter 3 Test as per the latest syllabus guidelines.

McGraw-Hill Math Grade 1 Chapter 3 Test Answer Key

Subtract. Write the difference. Use the number line to help.

Question 1.

4 — 3 = ___
Answer:
Subtract 3 squares from 4 squares then you get 1 square.
4 – 3 = 1

Question 2.

5 – 2 = ____
Answer:
Subtract 2 triangles from 5 triangles then you get 3 triangles.
5 – 2 = 3

Question 3.

6 – 4 = ___
Answer:
Subtract 4 triangles from 6 triangles then you get 2 triangles.
6 – 4 = 2

Question 4.
11 – 7 = ___
Answer:
Subtract 7 from 11 then you get 4.
11 – 7 = 4

Question 5.
9 – 6 = ___
Answer:
Subtract 6 from 9 then you get 3.
9 – 6 = 3

Question 6.
12 – 6 = ___
Answer:
Subtract 6 from 12 then you get 6.
12 – 6 = 6

Question 7.
10 – 2 = ___
Answer:
Subtract 2 from 10 then you get 8.
10 – 2 = 8

Question 8.
8 – 1 = ___
Answer:
Subtract 1 from 8 then you get 7.
8 – 1 = 7

Question 9.
3 – 2 = ___
Answer:
Subtract 2 from 3 then you get 1.
3 – 2 = 1

Question 10.
10 – 10 = ___
Answer:
Subtract 10 – 10 then you get 0.
10 – 10 = 0

Question 11.
11 – 6 = ___
Answer:
Subtract 6 from 11 then you get 5.
11 – 6 = 5

Subtract. Write the difference. Use small objects to help.

Question 12.
7 – 3 = ___
Answer:
Subtract 3 from 7 then you get 4.
7 – 3 = 4

Question 13.
16 – 5 = ___
Answer:
Subtract 5 from 16 then you get 11.
16 – 5 = 11

Question 14.
19 – 9 = ___
Answer:
Subtract 19 – 9 then you get 10.
19 – 9 = 10.

Question 15.
14 – 6 = ___
Answer:
Subtract 6 from 14 then you get 8.

Question 16.
20 – 17 = __
Answer:
Subtract 20 from 17 then you get 3.

Solve the problems. Write the difference. Use the number line to help.

Question 20.
Carlos has 19 . Carlos gives 5 to Tom. How many does Carlos have now?
19 — 5 = _____
Answer:
Given that,
The total number of crayons near Carlos = 19
The Carlos gives crayons to Tom = 5.
Therefore the difference is 19 – 5 = 14.

Question 21.
Tina has 18 . Tina gives 2 img 9 to Dad. How many does Tina have left?
18 — 2 _____
Answer:
Given that,
The total number of buttons near Tina = 18.
The Tina gives the the buttons to img = 9.
Therefore the difference is 18 – 9 = 9.

Question 22.
A pet store has 20 . A man buys 7 . How many are left?
20 — 7 = _____
Answer:
Given that,
The total number of fishes in the pet store = 20.
The total number of fishes the man buys = 7.
Therefore the total number of fishes left is 20 – 7 = 13.

Question 23.
A bag has 19 . 11 fall out. How many are in the bag now?
19 — 11 = _____
Answer:
Given that,
The total number of bags in the bag = 19.
The total number of balls left out = 11.
Therefore the total number of balls at now = 19 – 11 = 8

Question 24.
Ms. Lee has 13 . She gives away 8 . How many does she have left?
13 – 8 = _____
Answer:
Given that,
The total number of stars near Ms. Lee = 13.
The total number of stars gives away = 8.
Therefore the total number of stars left = 13 – 8 = 5

Question 25.
7 dogs are in the park. 4 dogs go home. How many dogs are in the park now?
7 – 4 = _____
Answer:
Given that,
The total number of dogs in the park = 7.
The total number of dogs went home = 4.
Therefore the total number of dogs left = 7 – 4 = 3.

Question 26.
Kay sees 10 ants. 5 ants go away. How many ants are left?
10 – 5 = ___ ants
Answer:
Given that,
The total number of ants the Kay sees = 10.
The total number of ants left away = 5.
Therefore the total number of ants left = 10 – 5 = 5.

All the solutions provided in McGraw Hill Math Grade 1 Answer Key PDF Chapter 4 Lesson 1 Counting Forward as per the latest syllabus guidelines.

McGraw-Hill Math Grade 1 Answer Key Chapter 4 Lesson 1 Counting Forward

Count

Write the numbers.

Question 1.
0 1 2 3 4

Question 2.
4 5 ____ ___ _____
Answer: 4 5 6 7 8

Explanation:
Forward counting is counting by adding one more, every time.
The numbers after 4 5 is 6, 7, 8

Question 3.
6 7 ___ ___ ____
Answer: 6 7 8 9 10

Explanation:
Forward counting is counting by adding one more, every time.
The numbers after 6 7 is 8, 9, 10.

Question 4.
14 15 ___ ___ ____
Answer: 14 15 16 17 18

Explanation:
Forward counting is counting by adding one more, every time.
The numbers after 14, 15 is 16, 17, 18.

Question 5.
11 12 ___ ___ ____
Answer: 13 14 15

Explanation:
Forward counting is counting by adding one more, every time.
The numbers after 11, 12 is 13, 14, 15

Question 6.
8 9 ____ ___ ____
Answer: 10 11 12

Explanation:
Forward counting is counting by adding one more, every time.
The numbers after 8, 9 is 10, 11, 12

Question 7.
16 17 ___ ___ ____
Answer: 18 19 20

Explanation:
Forward counting is counting by adding one more, every time.
The numbers after 16, 17 is 18, 19, 20.

Question 8.
9 10 ___ ___ ___
Answer: 11 12 13

Explanation:
Forward counting is counting by adding one more, every time.
The numbers after 9, 10 is 11, 12, 13.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Pretest are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Pretest Answer Key

Write each number in standard form.

Question 1.
53 and 125 thousandths
__________
Answer:
53 and 0.125.

Explanation:
The standard form of 53 is 53 and 125 thousandths is 125 ×10^-3 which is 0.125.

Question 2.
96 thousandths
__________
Answer:
0.096

Explanation:
The standard form of 96 thousandths is 96 ×10^-3 which is 0.096.

Question 3.
2 billion, 109 million, 7
__________
Answer:
2,000,000,000, 109,000,000 and 7.

Explanation:
The standard form of 2 billion is 2 ×10⁹ which is 2,000,000,000.
109 million is 109 ×10⁶ which is 109,000,000 and 7 is 7.

Write each number in word form.

Question 4.
19,103,578,143
Answer:
19 – Nineteen.
103 – One hundred and three.
578 – Five hundred and seventy-eight.
143 – One hundred and forty-three.

Question 5.
200,200,200
Answer:
200 – Two hundred.

Write >, <, or = to compare each pair of numbers.

Question 6.
5.7 ___ 5.71
Answer:
5.7 < 5.71.

Explanation:
Here, 5.7 is less than 5.71.

Question 7.
0.093 ____ 0.93
Answer:
0.093 < 0.93.

Explanation:
Here, 0.093 is less than 0.93.

Question 8.
1.046 ____ 1.046
Answer:
1.046 = 1.046.

Explanation:
Here, 1.046 is equal to 1.046.

Round each number to the place of the underlined digit.

Question 9.
4.369 ___
Answer:
4.370

Explanation:
The rounding of 4.369 is 4.370.

Question 10.
1.025 ____
Answer:
1.020

Explanation:
The rounding of 1.025 is 1.020.

Question 11.
17.457 ____
Answer:
18.

Explanation:
The rounding of 17.457 is 18

Add. Write the sum.

Question 12.

Answer:
1.94 + 7.59 = 9.53.

Explanation:
The addition of 1.94 and 7.59 is 9.53.

Question 13.

Answer:
557 + 623 = 1,180.

Explanation:
The addition of 557 + 623 is 1,180.

Question 14.

Answer:
702 + 99 = 801.

Explanation:
The addition of 702 + 99 is 801.

Question 15.

Answer:
5.38 + 0.92 = 6.3.

Explanation:
The addition of 5.38 + 0.92 is 6.3.

Question 16.
53.475 + 19.332 _________
Answer:
53.475 + 19.332 = 72.807.

Explanation:
The addition of 53.475 + 19.332 is 72.807.

Question 17.
12.257 + 8.153 __________
Answer:
12.257 + 8.153 = 20.41.

Explanation:
The addition of 12.257 + 8.153 is 20.41.

Question 18.
71.17 + 6.76 ______
Answer:
71.17 + 6.76 = 77.93.

Explanation:
The addition of 71.17 + 6.76 is 77.93.

Subtract. Write the difference.

Question 19.

Answer:
719 – 89 = 624.

Explanation:
The subtraction of 719 – 89 is 624.

Question 20.

Answer:
8.89 – 2.98 = 5.91.

Explanation:
The subtraction of 8.89 – 2.98 is 5.91.

Question 21.

Answer:
176 – 83 = 93.

Explanation:
The subtraction of 176 – 83 is 93.

Question 22.

Answer:
343.81 – 66.10 = 277.71.

Explanation:
The subtraction of 343.81 – 66.10 is 277.71.

Question 23.
15,432 – 13,718 = _______
Answer:
15,432 – 13,718 = 1.704.

Explanation:
The subtraction of 15.432 – 13.718 is 1.704.

Question 24.
150.62 – 42.37 = ________
Answer:
150.62 – 42.37 = 108.25

Explanation:
The subtraction of 150.62 – 42.37 is 108.25.

Question 25.
83.01 – 78.81 = _________
Answer:
83.01 – 78.81 = 4.2.

Explanation:
The subtraction of 83.01 – 78.81 is 4.2.

Question 26.
A potato weighs 7.72 ounces. An apple weighs 5.03 ounces. How many ounces heavier is the
potato than the apple?
Answer:

Simplify and complete. Tell what property is represented.

Question 27.
20 × 8 = (______ × 8) + (10 × ______) = 80 + ___ = ____
_______ property
Answer:
20 × 8 = (10 × 8) + (10 × 8)
= 160.

Explanation:
By distributive property 20 × 8 is
20 × 8 = (10 × 8) + (10 × 8)
= 80 + 80
= 160.

Question 28.
(30 × 4) × 5 = ______ × (4 × ______) = 30 × ______ = ______
_______________________________________ Property
Answer:
(30 × 4) × 5 = 30 × (4 × 5)
= 600.

Explanation:
By associative property (30 × 4) × 5 is
(30 × 4) × 5 = 30 × (4 × 5)
= 30 × 20
= 600.

Multiply. Write the product.

Question 29.

Answer:
46 × 3 = 138.

Explanation:
The product of 46 and 3 is 138.

Question 30.

Answer:
28 × 14 = 392.

Explanation:
The product of 28 and 14 is 392.

Question 31.

Answer:
511 × 4 = 2,044.

Explanation:
The product of 511 and 4 is 2,044.

Question 32.

Answer:
123 × 75 = 9,225.

Explanation:
The product of 123 and 75 is 9,225.

Question 33.
A bakery bakes 5-dozen loaves of bread. Each loaf sells for 2 dollars. How much money will the bakery earn if it sells every loaf of bread?
Answer:
For 60 loaves the bakery earns $120.

Explanation:
Given that a bakery bakes 5-dozen loaves of bread each loaf sells for 2 dollars. As there are 5×12 which is 60 loaves, so for 60 loaves the bakery earns 60 × 2 = $120.

Question 34.
2,811 × 10² = ___________
Answer:
2,811 × 10² = 2,81,100.

Explanation:
The product of 2,811 × 10² is
2,811 × 10² = 2,811 × 10 × 10
= 2,81,100.

Question 35.
61 × 10³ = _____________
Answer:
61 × 10³ = 61,000.

Explanation:
The product of 61 × 10³ is
61 × 10³ = 61 × 10 × 10 × 10
= 61,000.

Question 36.
77.6 × 10¹ = ______
Answer:
77.6 × 10¹ = 776.

Explanation:
The product of 77.6 × 10¹ is
77.6 × 10¹ = 77.6 × 10
= 776.

Divide. Write the quotient.

Question 37.
81 ÷ 3 = ____
Answer:
81 ÷ 3 = 27.

Explanation:
By dividing 81 ÷ 3 we will get a quotient of 27.

Question 38.
14 ÷ 4 = ______
Answer:
14 ÷ 4 = 3.5

Explanation:
By dividing 14 ÷ 4 we will get a quotient of 3.5.

Question 39.
78 ÷ 6 = ____
Answer:
78 ÷ 6 = 13.

Explanation:
By dividing 78 ÷ 6 we will get a quotient of 13.

Estimate. Then multiply or divide.

Question 40.
Estimate: 3.1 × 4 = ____
Multiply: 3.1 × 4 = _____
Answer:
Estimate: 3.1 × 4 = 12
Multiply: 3.1 × 4 = 12.4

Explanation:
By multiplying 3.1 × 4 we will get 12.4.

Question 41.
Estimate: 7.13 × 5 = ____
Multiply: 7.13 × 5 = _____
Answer:
Estimate: 7.13 × 5 = 36
Multiply: 7.13 × 5 = 35.65

Explanation:
By multiplying 7.13 × 5 we will get 35.65

Question 42.
Estimate: 11.09 × 6 = ____
Multiply: 11.09 × 6 = _____
Answer:
Estimate: 11.09 × 6 = 67
Multiply: 11.09 × 6 = 66.54

Explanation:
By multiplying 11.09 × 6 we will get 66.54.

Question 43.
19.2 ÷ 10⁴
Estimate: _____
Quotient: _____
Answer:
Estimate: 0.02
Quotient: 0.00192

Explanation:
By dividing 19.2 ÷ 10⁴ we will get
= 19.2 ÷ (10×10×10×10)
= 19.2 ÷ 10000
= 0.00192

Question 44.
872.3 ÷ 10²
Estimate: _____
Quotient: _____
Answer:
Estimate: 9.
Quotient: 8.723

Explanation:
By dividing 872.3 ÷ 10² we will get
= 872.3 ÷ (10×10)
= 8.723.

Question 45.
16.6 ÷ 10³
Estimate: _____
Quotient: _____
Answer:
Estimate: 0.02
Quotient: 0.0166

Explanation:
By dividing 16.6 ÷ 10³ we will get
= 16.6 ÷ (10×10×10)
= 16.6 ÷ 1000
= 0.0166.

Question 46.
14.85 × 10²
Estimate: _____
Quotient: _____
Answer:
Estimate: 1490.
Quotient: 1,485

Explanation:
By multiplying 14.85 × 10² we will get
= 14.85 × 10 × 10
= 1,485.

Question 47.
1.256 × 10⁴
Estimate: _____
Quotient: _____
Answer:
Estimate: 12,600
Quotient: 12,560

Explanation:
By multiplying 1.256 × 10⁴ we will get
= 1.256 × 10 × 10 × 10 × 10
= 12,560.

Question 48.
6.798 × 10³
Estimate: _____
Quotient: _____
Answer:
Estimate: 6,800.
Quotient: 6,798

Explanation:
By multiplying 6.798 × 10³ we will get
= 6.798 × 10 × 10 × 10
= 6,798

Simplify and solve. Show your work.

Question 49.
(10 – 8)³ + (6 × 4) × (4 – 2) + 10³ =
Simplify inside the parentheses: _____________
Simplify exponents: __________
Multiply: ____________
Add and subtract from left to right: _______
Final answer: __________
Answer:
(10 – 8)³ + (6 × 4) × (4 – 2) + 10³ = 1,056.

Explanation:
Given the expression is (10 – 8)³ + (6 × 4) × (4 – 2) + 10³ by simplifying inside the parentheses we will get
= (2)³ + (24) × (2) + 10³
= 8 + 24 × 2 + 1000
= 8 + 48 + 1000
= 1,056.

Question 50.
4{[2(2 + 5) + 2] – 9}
Simplify inside the parentheses: ____________
Simplify inside the brackets: ____________
Simplify inside the braces: _________
4{[2(2 + 5) + 2] – 9} = _______
Answer:
4{[2(2 + 5) + 2] – 9} = 28.

Explanation:
Given the expression is 4{[2(2 + 5) + 2] – 9} by simplifying inside the parentheses we will get
= 4{[2(7) + 2] – 9}
= 4{[14 + 2] – 9}
= 4{[16] – 9}
= 4{16 – 9}
= 4{7}
= 28.

Question 51.
(4 × 7) ÷ 2¹ = _____
Answer:

Explanation:
Given the expression is (4 × 7) ÷ 2¹  by simplifying inside the parentheses we will get

Question 52.
4 + (10 × 4) – 4² = _____
Answer:
4 + (10 × 4) – 4² = 28.

Explanation:
Given the expression is 4 + (10 × 4) – 4² by simplifying inside the parentheses we will get
= 4 + (10 × 4) – 4²
= 4 + (40) – 16
= 44 – 16
= 28.

Add or subtract. Give the answers in simplest terms. Change any improper fractions to mixed numbers.

Question 53.
\(\frac{1}{4}\) + \(\frac{2}{4}\) = _____
Answer:
\(\frac{1}{4}\) + \(\frac{2}{4}\) = \(\frac{3}{4}\).

Explanation:
The addition of \(\frac{1}{4}\) + \(\frac{2}{4}\) which is
= \(\frac{1+2}{4}\)
= \(\frac{3}{4}\).

Question 54.
\(\frac{3}{8}\) + \(\frac{4}{8}\) = _____
Answer:
\(\frac{3}{8}\) + \(\frac{4}{8}\) = \(\frac{7}{8}\).

Explanation:
The addition of \(\frac{3}{8}\) + \(\frac{4}{8}\) which is
= \(\frac{3+4}{8}\)
= \(\frac{7}{8}\).

Question 55.
\(\frac{5}{6}\) – \(\frac{1}{6}\) = _____
Answer:
\(\frac{5}{6}\) – \(\frac{1}{6}\) = \(\frac{2}{3}\).

Explanation:
The subtraction of \(\frac{5}{6}\) – \(\frac{1}{6}\) which is
= \(\frac{5-1}{6}\)
= \(\frac{4}{6}\)
= \(\frac{2}{3}\).

Question 56.
2\(\frac{1}{3}\) + \(\frac{3}{4}\) = _____
Answer:
2\(\frac{1}{3}\) + \(\frac{3}{4}\) = \(\frac{37}{12}\).

Explanation:
The addition of 2\(\frac{1}{3}\) + \(\frac{3}{4}\) which is
= \(\frac{7}{3}\) + \(\frac{3}{4}\)
= \(\frac{28+9}{12}\)
= \(\frac{37}{12}\).

Question 57.
\(\frac{5}{12}\) + \(\frac{1}{8}\) = _____
Answer:
\(\frac{5}{12}\) + \(\frac{1}{8}\) = \(\frac{13}{24}\).

Explanation:
The addition of \(\frac{5}{12}\) + \(\frac{1}{8}\) which is
= \(\frac{10+3}{24}\)
= \(\frac{13}{24}\).

Question 58.
\(\frac{7}{9}\) + \(\frac{11}{18}\) = _____
Answer:
\(\frac{7}{9}\) + \(\frac{11}{18}\) = \(\frac{25}{18}\).

Explanation:
The addition of \(\frac{7}{9}\) + \(\frac{11}{18}\) which is
= \(\frac{14+11}{18}\)
= \(\frac{25}{18}\).

Question 59.

Answer:
1\(\frac{2}{7}\) – \(\frac{1}{5}\) = \(\frac{38}{35}\).

Explanation:
The subtraction of 1\(\frac{2}{7}\) – \(\frac{1}{5}\) which is
= \(\frac{9}{7}\) – \(\frac{1}{5}\)
= \(\frac{45-7}{35}\)
= \(\frac{38}{35}\).

Question 60.

Answer:
6\(\frac{1}{3}\) + 3\(\frac{5}{6}\) = \(\frac{61}{6}\).

Explanation:
The addition of 6\(\frac{1}{3}\) + 3\(\frac{5}{6}\) which is
= \(\frac{19}{3}\) + \(\frac{23}{6}\)
= \(\frac{38+23}{6}\)
= \(\frac{61}{6}\).

Question 61.

Answer:
7\(\frac{1}{5}\) + 8\(\frac{1}{2}\) = 15\(\frac{7}{10}\).

Explanation:
The addition of 7\(\frac{1}{5}\) + 8\(\frac{1}{2}\) which is
= \(\frac{36}{5}\) + \(\frac{17}{2}\)
= \(\frac{72+85}{10}\)
= \(\frac{157}{10}\)
= 15\(\frac{7}{10}\).

Question 62.

Answer:
9\(\frac{1}{2}\) – 1\(\frac{2}{3}\) = 7\(\frac{5}{6}\).

Explanation:
The subtraction of 9\(\frac{1}{2}\) – 1\(\frac{2}{3}\) which is
= \(\frac{19}{2}\) – \(\frac{5}{3}\)
= \(\frac{57-10}{6}\)
= \(\frac{47}{6}\)
= 7\(\frac{5}{6}\).

Find the equivalent fraction.

Question 63.
equivalent to \(\frac{4}{6}\), denominator 24 ____
Answer:
\(\frac{16}{24}\).

Explanation:
The equivalent fraction to \(\frac{4}{6}\) as denominator 24 will be \(\frac{4}{6}\) × \(\frac{4}{4}\)
= \(\frac{16}{24}\).

Question 64.
equivalent to \(\frac{1}{2}\), denominator 42 _____
Answer:
\(\frac{21}{42}\).

Explanation:
The equivalent fraction to \(\frac{1}{2}\) as denominator 42 will be \(\frac{1}{2}\) × \(\frac{21}{21}\)
= \(\frac{21}{42}\).

Question 65.
equivalent to \(\frac{1}{3}\), denominator 36 ______
Answer:
\(\frac{12}{36}\).

Explanation:
The equivalent fraction to \(\frac{1}{3}\) as denominator 36 will be \(\frac{1}{3}\) × \(\frac{12}{12}\)
= \(\frac{12}{36}\).

Question 66.
equivalent to \(\frac{3}{8}\), denominator 32 ____
Answer:
\(\frac{12}{32}\).

Explanation:
The equivalent fraction to \(\frac{3}{8}\) as denominator 32 will be \(\frac{3}{8}\) × \(\frac{4}{4}\)
= \(\frac{12}{32}\).

Multiply.

Question 67.
16 × \(\frac{5}{8}\) =________
Answer:
16 × \(\frac{5}{8}\) = 40.

Explanation:
The multiplication of 16 × \(\frac{5}{8}\) is 2×5 = 40.

Question 68.
18 × \(\frac{2}{3}\) =________
Answer:
18 × \(\frac{2}{3}\) = 12.

Explanation:
The multiplication of 18 × \(\frac{2}{3}\) which is 6×2 = 12.

Question 69.
\(\frac{3}{10}\) × \(\frac{4}{5}\) =________
Answer:
\(\frac{6}{25}\).

Explanation:
The multiplication of \(\frac{3}{10}\) × \(\frac{4}{5}\) which is \(\frac{6}{25}\).

Solve.

Question 70.
Some ferrets are about 18 inches long. A hamster is about \(\frac{1}{3}\) as long. About how many inches long is a hamster?
Answer:
The number of inches will be 17\(\frac{2}{3}\) inches.

Explanation:
Given that ferrets are about 18 inches long and a hamster is about \(\frac{1}{3}\) as long. So the number of inches will be 18 – \(\frac{1}{3}\) which is
= \(\frac{54-1}{3}\)
= \(\frac{53}{3}\)
= 17\(\frac{2}{3}\) inches.

Question 71.
\(\frac{1}{2}\) of the photos on Delia’s digital camera are of friends and family members, \(\frac{1}{5}\) of those photos are of her best friend Aiesha. What fraction of the total number of photos on Delia’s camera is of Aiesha?
Answer:
The total number of photos on Delia’s camera is of Aiesha are \(\frac{7}{10}\) photos.

Explanation:
Given that \(\frac{1}{2}\) of the photos on Delia’s digital camera are of friends and family members and \(\frac{1}{5}\) of those photos are of her best friend Aiesha. So the number of photos on Delia’s camera is of Aiesha are \(\frac{1}{2}\) + \(\frac{1}{5}\)
= \(\frac{5+2}{10}\)
= \(\frac{7}{10}\) photos.

Question 72.
A mother blue whale is 87\(\frac{2}{3}\) feet long. Her baby is 22\(\frac{5}{8}\) feet long. About how much longer is the mother than the baby? Use front-end estimation to estimate the difference.
Answer:
The difference is 65\(\frac{1}{24}\).

Explanation:
Given that a mother blue whale is 87\(\frac{2}{3}\) feet long which is \(\frac{263}{3}\) and her baby is 22\(\frac{5}{8}\) feet long which is \(\frac{181}{8}\). So the difference will be \(\frac{263}{3}\) – \(\frac{181}{8}\) which is
= \(\frac{2104-543}{24}\)
= \(\frac{1561}{24}\)
= 65\(\frac{1}{24}\).

Multiply to find the area of each rectangle.

Question 73.
9 ft long × \(\frac{4}{5}\) ft wide
area = ____________
Answer:
Area = 7\(\frac{1}{5}\) sq ft.

Explanation:
The area of the rectangle is L×W which is 9 ft × \(\frac{4}{5}\) ft
= \(\frac{9×4}{5}\) ft
= \(\frac{36}{5}\) ft
= 7\(\frac{1}{5}\) sq ft.

Question 74.
8 m long × \(\frac{1}{2}\) m wide
area = ____________
Answer:
Area = 4 sq m.

Explanation:
The area of the rectangle is L×W which is 8m × \(\frac{1}{2}\)m
= 4 sq m.

Find each quotient. Draw models to help. Use multiplication to check your answers.

Question 75.
\(\frac{1}{4}\) ÷ 9 = _____
Answer:
\(\frac{1}{4}\) ÷ 9 = 0.027.

Explanation:
Given the expression is \(\frac{1}{4}\) ÷ 9 which is
= \(\frac{1}{36}\)
= 0.027.

Question 76.
\(\frac{1}{2}\) ÷ 5 = _____
Answer:
\(\frac{1}{2}\) ÷ 5 = 0.1.

Explanation:
Given the expression is \(\frac{1}{2}\) ÷ 5 which is
= \(\frac{1}{10}\)
= 0.1

Question 77.
12 ÷ \(\frac{1}{8}\) = _____
Answer:
12 ÷ \(\frac{1}{8}\) = 96.

Explanation:
Given the expression is 12 ÷ \(\frac{1}{8}\) which is
= 12 ÷ \(\frac{1}{8}\)
= 12 × 8
= 96.

Solve.

Question 78.
A giraffe’s tongue is about 45 centimeters long. What is the length of a giraffe’s tongue in millimeters?
Answer:
The length of a giraffe’s tongue in millimeters is 450 mm.

Explanation:
Given that the giraffe’s tongue is about 45 centimeters long, in millimeters, it will be 45 × 10 = 450mm.

Question 79.
Mrs. Jones is measuring the mass of 2 eggplants. One eggplant has a mass of 0.68 kilograms and the other has a mass of 0.45 kilograms. What is the difference of the masses of both eggplants in grams?
Answer:
The difference is 0.23 grams.

Explanation:
Given that Mrs. Jones is measuring the mass of 2 eggplants and one eggplant has a mass of 0.68 kilograms and the other has a mass of 0.45 kilograms. So the difference in the masses of both eggplants in grams is 0.68 – 0.45 which is 0.23 grams.

Question 80.
A server pours mineral water from a 1 -liter bottle into a glass. After pouring, there are 0.3 liters left in the bottle. In milliliters, how much water did the server pour?
Answer:
The server serves 700 ml of water.

Explanation:
Given that a server pours mineral water from a 1 -liter bottle into a glass and after pouring, there are 0.3 liters left in the bottle which is 1 – 0.3 which is 0.7 liters. As 1 liter is 1000 ml, so 0.7 liters will be 1000×0.7 = 700 ml.

Question 81.
Good hand washing involves using soap and clean, warm water for at least 20 seconds. If Sheng washes his hands 9 times each day, how many minutes does he spend washing his hands in 2 days?
Answer:
The number of minutes will be 6 minutes.

Explanation:
Given that hand washing involves using soap and clean, warm water for at least 20 seconds. So if Sheng washes his hands 9 times each day number of minutes he spends washing his hands in 2 days will be 18 × 20 = 360 seconds which is 6 minutes.

Question 82.
The Tyrannosaurus Rex had a skull up to 5 feet long. An adult human’s skull is about 7 inches long. How many inches longer is a Tyrannosaurus Rex skull than a human skull?
Answer:
The number of inches long will be 53 inches.

Explanation:
Given that the length of the Tyrannosaurus Rex skull is 5 feet long and an adult human’s skull is about 7 inches long. So 5 feet in inches will be 5×12 which is 60 inches long. So the number of inches long will be 60-7 which is 53 inches.

Count the cubes in each object. Write the total.

Question 83.

_______
Answer:
5.

Explanation:
The number of cubes will be 5 for the given angle.

Question 84.

_______
Answer:
24.

Explanation:
The number of cubes for a right angle is 24.

Question 85.

______
Answer:
24.

Explanation:
The number of cubes for straight angles is 24.

Count the cubes in each object. Write the total.

Question 86.

____ cubes
Answer:
8 cubes.

Explanation:
The number of cubes is 2 × 2 × 2 which is 8 cubes.

Question 87.

___ cubes
Answer:
32 cubes.

Explanation:
The number of cubes is 4 × 4 × 2 which is 32 cubes.

Question 88.

___ cubes
Answer:
12 cubes.

Explanation:
The number of cubes is 2 × 2 × 3 which is 12 cubes.

Classify each triangle as equilateral, scalene, or isosceles. Then classify each triangle as acute, obtuse, or right.

Question 89.

Answer:
Equilateral triangle.

Explanation:
Given triangle is an equilateral triangle as each side is 60 degrees.

Question 90.

Answer:
Isosceles triangle.

Explanation:
The given triangle is an isosceles triangle. As there are both two sides are equal and two angles are equal.

The heights of 6 ostriches are listed below. Complete the line plot to show this data set. Then use the line plot for Exercises 92 and 93.

Question 91.
Ostrich 1: 7\(\frac{1}{2}\) ft Ostrich 2: 7\(\frac{3}{4}\) ft Ostrich 3: 8 ft
Ostrich 4: 6 ft Ostrich 5: 7\(\frac{1}{2}\) ft Ostrich 6: 7\(\frac{1}{2}\) ft

Answer:

Question 92.
How much taller is the tallest ostrich than the shortest ostrich?
_____________
Answer:
The tallest ostrich is 2 ft.

Explanation:
The taller ostrich size is 8 ft and the shortest size is 6 ft. So the difference will be 8-6 which is 2 ft.

Question 93.
What is the combined height of the ostriches with the most common height?
Answer:
The combined height of the ostriches with the most common height is 22 1/2 ft.

Explanation:
The combined height of the ostriches with the most common height is 7 1/2+7 1/2+7 1/2 which is 15/2 + 15/2 + 15/2
= (15+15+15)/2
= 45/2
= 22 1/2 ft.

Look at the grid. Write the ordered pair for each point.

Question 94.
A ____
Answer:
(4,4).

Explanation:
The ordered pair of A is (4,4).

Question 95.
B _____
Answer:
(1,1).

Explanation:
The ordered pair of B is (1,1).

Question 96.
C _____
Answer:
(3,2)

Explanation:
The ordered pair of C is (3,2).

Question 97.
D _____
Answer:
D(2,3).

Explanation:
The ordered pair of D is (2,3).