We included HMH Into Math Grade 4 Answer Key PDF Module 7 Lesson 2 Use Place Value to Divide to make students experts in learning maths.
HMH Into Math Grade 4 Module 7 Lesson 2 Answer Key Use Place Value to Divide
I Can determine how many digits a whole-number quotient will have and use long division to divide.
Spark Your Learning
Aseem and Chadda have 316 photos to put in 2 scrapbooks. They agree to put the same number of photos in each book. But they disagree about how many photos that is.
Aseem: We can put more than 100 photos in each book.
Chadda: We don’t have enough photos to put 100 in each book.
Who is right? Show and explain your thinking.
Answer:
Therefore, the number of photos in each book are 158.
Aseem is right because more than 100 photos can be put in each book.
Turn and Talk How many digits are in the whole-number quotient for 316 ÷ 2? Use place value to explain.
Answer:
There are 3 digits in the whole number quotient.
Build Understanding
1. Fran has 423 scrapbook stickers. She wants to put an equal number of stickers in 3 different scrapbooks. How many stickers can she put in each scrapbook?
Find 423 ÷ 3.
Answer:
Given,
Fran has 423 scrapbook stickers.
She wants to put an equal number of stickers in 3 different scrapbooks.
So,
Therefore, she can put 141 stickers in each scrapbook.
Use base-ten blocks to show the division.
A. Were there enough hundreds to put at least 1 hundred in each group? Why or why not?
__________________________
__________________________
Answer:
Yes, there were at least 1 hundred to put in each group.
B. How many digits are in the whole-number quotient when there is at least 1 hundred in each group? ___ digits
Answer:
there are 3 digits in the whole-number quotient when there is at least 1 hundred in each group.
C. How many hundreds did you regroup as tens? ____ hundred
Answer:
There are 4 hundred that can be grouped as tens.
How many tens did you put in each group? ___ tens
Answer:
14 tens can be put in each group.
D. How many tens did you regroup as ones? ____ tens
Answer:
There are 42 tens that can regroup as ones.
How many ones did you put in each group? ___ one
Answer:
141 ones can be put in each group.
E. Fran can put ___ stickers in each scrapbook.
Answer:
Fran can put 141 stickers in each scrapbook.
Turn and Talk Where should you write the first digit of the whole-number quotient for the division ?
2. Randall has 252 soccer badges. He puts the same number of badges into 4 scrapbooks. How many badges are in each scrapbook?
Use base-ten blocks to show 252 ÷ 4.
Answer:
A. Were there enough hundreds to put at least 1 in each group? Why or why not?
___________________________
B. Where should you write the first digit in the whole-number quotient? ___________________________
C. What did you do with the 2 hundreds so they could be equally divided among 4 groups?
D. How many tens did you put in each group? __________
E. Did you regroup any tens as ones? Why?
___________________________
F. How many ones did you put in each group? ______
G. There are ___ badges in each scrapbook.
Turn and Talk When you divide a 3-digit number by a 1-digit number, how many digits can the whole-number quotient have?
Step It Out
3. Now use long division to record each step as you use base-ten blocks to represent the division.
A. Share the hundreds equally among the 3 groups.
___ hundred is in each group.
___ hundred is left over.
Answer:
B. Regroup the leftover hundred as tens. Share all the tens equally among the 3 groups.
___ tens are in each group.
___ tens are leftover.
Answer:
150 tens are in each group
2 tens are leftover.
C. Regroup the leftover tens as ones. Share all the ones equally among the 3 groups.
___ ones are in each group.
___ one is left over.
Answer:
20 ones are in each group.
1 one is leftover.
D. Write the whole-number quotient and remainder for 472 ÷ 3. _____ r_____
Answer:
472 ÷ 3 = 157 r 1 .
Check Understanding Math Board
Question 1.
Terri saves $375 for a 4-day vacation. Does she have enough to spend $100 each day? How do you know?
Answer:
Given,
Terri saves $375 for a 4-day vacation.
No, he has only $93 to spend on each day with $3 left.
On Your Own
Use Tools Use base-ten blocks to represent the division. Then record the results.
Question 2.
Athena uses this entire box of building blocks to build 2 identical towers. How many blocks does Athena use for each tower?
Answer:
Given,
Athena uses this entire box of building blocks to build 2 identical towers.
number of identical blocks = 388
So,
Therefore, 194 blocks are used in each tower.
Question 3.
Jackie places 552 photos of cats on 4 bulletin boards at the animal shelter. Each board has the same number of photos. How many photos are on each board?
Answer:
Reason Tell how many digits in the whole-number quotient.
Question 4.
198 ÷ 3
__________
Answer:
Question 5.
351 ÷ 2
__________
Answer:
Question 6.
182 ÷ 4
__________
Answer:
Reason Tell where to write the first digit in the whole-number quotient.
Question 7.
__________
Answer:
Question 8.
__________
Answer:
Question 9.
__________
Answer:
Question 10.
Open Ended Write two division problems with a 1-digit divisor and a 3-digit dividend. One problem should have a 2-digit whole-number quotient. The other should have a 3-digit whole-number quotient. Explain how you chose your numbers.
Answer:
On Your Own
Question 11.
Critique Reasoning Mara completes this division. Is her answer correct? Why or why not?
Answer:
The answer is not correct. Because Quotient is 082 but not 820.
Question 12.
Attend to Precision Ricardo has 325 tiles to make 4 mosaics. He uses the same number of tiles for each mosaic. How many tiles does Ricardo use for each mosaic? How many tiles does he have left over?
Answer:
Given,
Ricardo has 325 tiles to make 4 mosaics.
He uses the same number of tiles for each mosaic.
Ricardo uses 81 tiles for each mosaic.
He will leave with 1 tile.
Divide.
Question 13.
Answer:
Question 14.
Answer:
Question 15.
Answer:
I’m in a Learning Mindset!
How did using base-ten blocks help me understand where to write the first digit in a whole-number quotient?
_____________________________
_____________________________
Answer: