We included **HMH Into Math Grade 4 Answer Key**** PDF** **Module 5 Lesson 6 Multiply 3-Digit and 4-Digit Numbers** to make students experts in learning maths.

## HMH Into Math Grade 4 Module 5 Lesson 6 Answer Key Multiply 3-Digit and 4-Digit Numbers

I Use the standard algorithm to find the product of a multi-digit number and a single-digit number.

**Spark Your Learning**

Susan ran 1,423 feet on a track. David ran 3 times as far as Susan. How can you determine how far David ran?

**Show your Thinking**

Answer:

Explanation:

David ran 4269 feet.

**Turn and Talk** How can you use expanded form to multiply a 3-digit number by a 1 digit number?

**Build Understanding**

1. Dion has 3 full coin-collection books. Each book holds the same number of coins. How many coins does Dion have?

**Draw a quick picture to show the problem.**

A. How can you use what you know about place value to write 3 × 104 vertically?

Answer:

B. When you multiply the ones, how do you record 3 × 4 ones?

C. What step is next?

D. When you multiply the hundreds, how do you record 3 × 1 hundred?

E. Dion has ___ coins.

Explanation:

3 x 4ones is 1 ten and 2ones

Multiply tens with 4 ones , there are no tens so tens will be zero

3 x 1 = 300

The number is 312

Dion has 312 coins.

**Turn and Talk** How does using base-ten blocks show that addition and multiplication are related?

**Step It Out**

2. Lisa challenges Carlos to read 7,137 words a day for 7 days. How many words is that?

Answer:

A. Write the problem vertically, lining up the digits by place value.

B. Multiply the ones. 7 × 7 ones = _____ ones

- Regroup ones as tens ones.
- Record.

C. Multiply the tens. 7 × 3 tens = ___ tens

- Add the regrouped tens.

___ tens + __ tens = __ tens - Regroup tens as __ hundreds __ tens.
- Record.

D. Multiply the hundreds. 7 × 1 hundred = __ hundreds

- Add the regrouped hundreds.

___ hundreds + __ hundreds = ___ hundreds - Record.

E. Multiply the thousands. 7 × 7 thousands _____ thousands

- Regroup thousands as __ ten thousands __ thousands.
- Record.

F. 7,137 words a day for 7 days is ______ words.

Explanation:

7 x 7 = 49

4 ten 9 ones

30 x 7 = 210

2 hundreds 1 ten 0 ones

100 x 7 = 700

7 hundreds

7000 x 7 = 49000

4 ten thousands and 9 thousand

40000+ 9000 + 700 + 200 + 10 + 40 + 9

49959

7137 words a day 7 days is 49959 words.

**Check Understanding Math Board**

Question 1.

A short book only has 236 words The library has 5 copies of this book. How many words appear in the books? ____________

Answer:

Explanation:

1180 words appear in the books.

**On Your Own**

**Show your work.**

Question 2.

How much will 6 gaming systems cost? ______

Answer:

Answer:

Explanation:

6 gaming systems costs $1962.

**Estimate. Then find the product.**

Question 3.

Estimate: ___

Answer:

Explanation:

Estimate: 750 x 4 = 3000

The product of 754 and 3 is 2262.

Question 4.

Estimate: ___

Answer:

Explanation:

Estimate: 6800 x 5 = 34000

The product of 6821 and 5 is 34105.

Question 5.

Estimate: ___

Answer:

Explanation:

Estimate: 5000 x 9 = 45000

The product of 4932 and 9 is 44388.

**Estimate. Then write the problem vertically and find the product.**

Question 6.

Estimate: ___

6 × 523

Answer:

6 x 523 = 3138

Explanation:

6 x 500 = 3000

6 x 20 = 120

6 x 3 = 18

300 + 120 + 18 = 3138

Question 7.

Estimate: ___

9 × 5,181

Answer:

9 x 5181 = 46629

Explanation:

9 x 5000 = 45000

9 x 100 = 900

9 x 80 = 720

9 x 1 = 9

9 x 5181 = 46629

Question 8.

Estimate: ___

8 × 6,719

Answer:

8 x 6719 = 53752

Explanation:

8 x 6000 = 48000

8 x 700 = 5600

8 x 10 = 80

8 x 9 = 72

48000 + 5600 + 80 + 72 = 53752.

Question 9.

**Reason** Without solving each problem, how do you know that the product 8 × 564 is greater than the product 7 × 564?

__________________________________

__________________________________

Answer:

In both the problems the 3 digit number is same but the 1 digit number that is multiplier is different.

The single digits are 7 and 8, 7 is small s, the product of 8 and 564 is greater than the product of 7 and 564.

**I’m in a Learning Mindset!**

What did I learn from classmates when they shared their strategies with me?

__________________________________