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?
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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?
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