We included **H****MH Into Math Grade 5 Answer Key**** PDF** **Module 1 Lesson 4 Multiply by 1-Digit Numbers** to make students experts in learning maths.

## HMH Into Math Grade 5 Module 1 Lesson 4 Answer Key Multiply by 1-Digit Numbers

I Can multiply multi-digit whole numbers by 1-digit numbers using regrouping and place value.

**Step It Out**

1. Adah walks 1,274 steps once around her neighborhood. If she walks around her neighborhood 3 times, how many steps does she walk?

A. Estimate the number of steps Adah walks. Show your work.

B. Multiply to find the number of steps she walks.

_________________________

_________________________

- Multiply the ones.

Regroup __ ones as ___.

- Multiply the tens. Add the regrouped tens.

__ tens + ___ ten = ___ tens - Multiply the hundreds. Add the regrouped hundreds.

___ hundreds + ___ hundreds = ___ hundreds - Multiply the thousands.

Adah walks ___ steps.

C. How do, you know if your answer is reasonable?

_________________________

_________________________

Answer:

Given,

Adah walks 1,274 steps once around her neighborhood.

1274 × 3 = 3822 steps

2 ones

2 tens

6 hundreds + 2 hundreds = 8 hundreds

3 thousand

300 + 600 + 200 + 20 + 2 = 3822 steps

Adah walks 3822 steps.

**Turn and Talk** In multiplying 1,274 by 5, what does recording 3 above the digit 2 represent?

**Step It Out**

2. Michael walks to and from school each day. The round-trip distance is 4,206 feet. What is the total distance he walks to and from school in 5 days?

A. Estimate the total distance. Show your work.

B. Jason’s solution is shown. Work through the steps to solve the problem, and then determine his error.

- Multiply the ones.

- Multiply the tens.
- Complete the problem.
- What is the total distance? _______

C. Compare your work with Jason’s. What error did Jason make?

Answer:

Given,

Michael walks to and from school each day.

The round-trip distance is 4,206 feet.

So, the total distance he walks to and from school in 5 days is 21,030 feet.

**Check Understanding Math Board**

**Estimate. Then find the product.**

Question 1.

Estimate: ___

Answer: 3472

By multiplying 868 with 4 we get 3472.

The estimated product is 3500.

Question 2.

Estimate: ___

Answer: 38440

By multiplying 4805 with 8 we get 38440.

The estimated product is 38000.

Question 3.

Estimate: ___

Answer: 65604

By multiplying 9372 with 7 we get 65604.

The estimated product is 66000.

Question 4.

A kilometer is approximately 1,094 yards. Toby runs a 6-kilometer race. About how many yards does he run?

Answer:

Given,

A kilometer is approximately 1,094 yards.

Toby runs a 6-kilometer race.

1094

× 6

6564

Thus he runs about 6500 yards.

**On Your Own**

**Estimate. Then find the product.**

Question 5.

Estimate: _______

Answer: 2745

By multiplying 915 with 3 we get 2745.

The estimated product is 2700.

Question 6.

Estimate: ____

Answer: 12168

1352

× 9

12168

By multiplying 1352 with 9 we get 12168.

The estimated product is 12000.

Question 7.

Estimate: ___

Answer: 17224

By multiplying 4306 with 4 we get 17224.

The estimated product is 17000.

Question 8.

Estimate: ___

Answer: 35231

By multiplying 5033 with 7 we get 35231.

The estimated product is 35000.

Question 9.

Estimate: ___

Answer: 41630

By multiplying 8926 with 5 we get 41630.

The estimated product is 42000.

Question 10.

Estimate: ___

Answer:

By multiplying 27158 with 6 we get 162948.

The estimated product is 163000.

**Find the unknown digits.**

Question 11.

Answer: 3066

438

× 7

3066

So, the unknown digit is 0.

Question 12.

Answer: 14817

By multiplying 4939 with 3 we get 14,817 as the answer.

493**9**

× 3

1**4**8**1**7

Just keep changing the units place to find a suitable answer.

Question 13.

Answer:

5**5**34

× 9

4**9**8**06**

So, the missing numbers are 5, 9 , 0, 6

We have to change the numbers in the missing place and check whether it is suitable for the product.

Question 14.

In Michael’s neighborhood, there is a rectangular pathway that is 152 feet long and 9 feet wide. What is the area of the pathway?

Answer:

Given,

In Michael’s neighborhood, there is a rectangular pathway that is 152 feet long and 9 feet wide.

152 × 9 = 1368 sq. ft

Thus the area of the pathway is 1368 sq. ft.

Question 15.

A farmer has a corn field with 9 rows of corn. Each row has 1,026 corn plants. How many corn plants are there?

Answer:

Given,

A farmer has a corn field with 9 rows of corn.

Each row has 1,026 corn plants.

1026

× 9

9234

Therefore there are 9234 corn plants in 9 rows.

Question 16.

Martha runs 1,760 yards each day for 3 days. How many yards does she run?

Answer:

Given

Martha runs 1,760 yards each day for 3 days

1760

× 3

5280 yards

Thus she runs 5280 yards in 3 days.

**On Your Own**

Question 17.

**Health and Fitness** Darlene walks around her neighborhood. Her daily goal is to walk 4,000 steps.

- Does Darlene reach her daily goal if she walks around her neighborhood 5 times? Make an estimate to answer the question and show your work.

_________________________

_________________________ - How many steps does Darlene take if she walks around her neighborhood 5 times? Show your work.

Answer:

Given,

Darlene walks around her neighborhood. Her daily goal is to walk 4,000 steps.

852

× 5

4260

She will reach her goal if she walks her neighborhood 5 times.

Darlene takes 4260 steps if she walks around her neighborhood 5 times.

Question 18.

**Reason** Marisha solves a multiplication problem but leaves out some of her work. What are the unknown values of a and b? Explain how you know by describing place values and regrouping.

Answer:

a = 6

b = 1

Question 19.

**Critique Reasoning** Francisco solves a multiplication problem but makes an error

- What error does he make and what is the correct answer?

Answer:

The answer given by Francisco is incorrect.

4,315

× 8

34,520