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

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.

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

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?

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?

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

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

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

Explanation:
1180 words appear in the books.

Question 2.
How much will 6 gaming systems cost? ______

Explanation:
6 gaming systems costs \$1962.

Estimate. Then find the product.

Question 3.
Estimate: ___

Explanation:
Estimate: 750 x 4 = 3000
The product of 754 and 3 is 2262.

Question 4.
Estimate: ___

Explanation:
Estimate: 6800 x 5 = 34000
The product of 6821 and 5 is 34105.

Question 5.
Estimate: ___

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
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
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
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?
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