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All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 3 Relating Multiplication and Division are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 3 Lesson 3 Relating Multiplication and Division

Sketch each problem. List the related multiplication and division facts.

Question 1.
3 × 6 = 18
Answer:

Question 2.
5 × 4 = ____
Answer:
5 × 4 = 20.

Explanation:
By multiplying 5 and 4 we will get 20.

Question 3.
2 × 6 = _______
Answer:
2 × 6 = 12.

Explanation:
By multiplying 2 and 6 we will get 12.

Question 4.
2 × 1 = ___
Answer:
2 × 1 = 2.

Explanation:
By multiplying 2 and 1 we will get 2.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 4 Multiplying by 1 Digit Whole Numbers are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 3 Lesson 4 Multiplying by 1 Digit Whole Numbers

Multiply and then describe the strategy you used to find the answer.

Question 1.
16 × 3 = ______
I changed 3 to 6 and 16 to 8. Then I multiplied 6 × 8 = 48.

Question 2.
21 × 5 = ___
Answer:
15 × 7 = 105.

Explanation:
Here, we have changed 5 to 15 and 21 to 7 and then multiplied 15 × 7 which is 105.

Question 3.
4 × 55 = ________
Answer:
20 × 11 = 220.

Explanation:
Here, we have changed 4 to 20 and 55 to 11 and then multiplied 20 × 11 which is 220.

Question 4.
225 × 3 ______
Answer:
225 × 3 = 675.

Explanation:
Here, we have changed 225 to 75 and 3 to 9 and then multiplied 75 × 9 which is 675.

Question 5.

Answer:
31 × 3 = 93.

Explanation:
Here, we have changed 31 to 93 and 3 to 1 and then multiplied 93 × 1 which is 93.

Question 6.

Answer:
42 .× 5 = 210

Explanation:
Here, we have changed 42 to 6 and 5 to 35 and then multiplied 6 × 35 which is 210.

Question 7.

Answer:
138 × 4 = 552.

Explanation:
Here, we have changed 138 to 276 and 4 to 2 and then multiplied 276 × 2 which is 552.

Question 8.

Answer:
21 × 8 = 168.

Explanation:
Here, we have changed 21 to 84 and 8 to 2 and then multiplied 84 × 2 which is 168.

Question 9.

Answer:
121 × 7 = 847.

Explanation:
Here, we have changed 121 to 11 and 7 to 77 and then multiplied 11 × 77 which is 847.

Question 10.

Answer:
125 × 4 = 500.

Explanation:
Here, we have changed 125 to 250 and 4 to 2 and then multiplied 250 × 2 which is 500.

Question 11.

Answer:
138 × 8 = 1,104.

Explanation:
Here, we have changed 138 to 276 and 8 to 4 and then multiplied 276 × 4 which is 1,104.

Question 12.

Answer:
303 × 6 = 1818.

Explanation:
Here, we have changed 303 to 101 and 6 to 18 and then multiplied 101 × 18 which is 1818.

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.