# Into Math Grade 5 Module 3 Answer Key Practice Division of Whole Numbers

We included HMH Into Math Grade 5 Answer Key PDF Module 3 Practice Division of Whole Numbers to make students experts in learning maths.

## HMH Into Math Grade 5 Module 3 Answer Key Practice Division of Whole Numbers

What are the unknown digits?

• Each of the digits 1-9 has been removed once from the division problem. Use reasoning to replace those digits.

Use this chart to track your work. Cross off each number as you use it. Turn and Talk

• How do the numbers 48 and 12 help you figure out what the divisor is?
• What else in the structure of the division problem did you use to place numbers?

Complete these problems to review prior concepts and skills you will need for this module.

2-Digit Subtraction with Regrouping

Find the difference.

Question 1.  Explanation:
Given to find the difference of
54
-35
19
as 4 is less than 5 we borrow 1 from tens and subtract 14 – 5 we get 9 at ones place, next we subtract the subtrahend tens digit from new minuend tens digit as 4 – 3 = 1,
so the difference is 54 – 35 = 19.

Question 2.  Explanation:
Given to find the difference of
72
-48
24
as 2 is less than 8 we borrow 1 from tens and subtract 12 – 8 we get 4 at ones place, next we subtract the subtrahend tens digit from new minuend tens digit as 6 – 4 = 2,
so the difference is 72 – 48 = 24.

Question 3.  Explanation:
Given to find the difference of
85
-67
18
as 5 is less than 7 we borrow 1 from tens and subtract 15 – 7 we get 8 at ones place, next we subtract the subtrahend tens digit from new minuend tens digit as 7 – 6 = 1,
so the difference is 85 – 67 = 18.

Relate Multiplication and Division

Write the related facts for each set.

Question 4.
4, 6, 24
____ ÷ ___ = ___
____ × ____ = ___
____ ÷ ___ = ___
____ × ____ = ___
24 ÷  6 = 4,
6 X 4 = 24,
24 ÷ 4 = 6,
4 X 6 = 24,

Explanation:
Given numbers are 4,6, 24 the related facts are if we divide 24 by 6 we will get 4 so 24 ÷ 6 = 4,
if we multiply 6 by 4 we will get 24, 6 X 4 = 24,
if we divide 24 by 4 we will get 6, 24 ÷ 4 = 6,
if we multiply 4 by 6 we will get 24, 4 X 6 = 24.

Question 5.
7, 9, 63
____ ÷ ___ = ___
____ × ____ = ___
____ ÷ ___ = ___
____ × ____ = ___
63 ÷ 9 = 7,
7 X 9 = 63,
63 ÷ 7 = 9,
9 X 7 = 63,

Explanation:
Given numbers are 7,9,63 the related facts are
if we divide 63 by 9 we will get 7 so 63 ÷ 9 = 7,
if we multiply 7 by 9 we will get 24, 7 X 9 = 63,
if we divide 63 by 7 we will get 9, 63 ÷ 7 = 9,
if we multiply 9 by 7 we will get 63, 9 X 7 = 63.

Question 6.
5, 8, 40
____ ÷ ___ = ___
____ × ____ = ___
____ ÷ ___ = ___
____ × ____ = ___
40 ÷ 5 = 8,
5 X 8 = 40,
40 ÷ 8 = 5,
8 X 5 = 40,

Explanation:
Given numbers are 5,8,40 the related facts are
if we divide 40 by 5 we will get 8 so 40 ÷ 5 = 8,
if we multiply 5 by 8 we will get 40, 5 X 8 = 40,
if we divide 40 by 8 we will get 5, 40 ÷ 8 = 5,
if we multiply 8 by 5 we will get 40, 8 X 5 = 40.

Multiply by 1-Digit Numbers

Find the product.

Question 7. 324,

Explanation:
Given to multiply
2
54
X 6
324.

Question 8. 460,

Explanation
Given to multiply
1
92
X 5
460.

Question 9. 1704,

Explanation:
Given to multiply
1
852
X 2
1704.

Question 10. 3353,

Explanation:
Given to multiply
5, 6
479
X 7
3354.

Question 11. 21,464,

Explanation:
Given to multiply
5,6,2
2,683
X 8
21,464

Question 12. 5,432,

Explanation:
Given to multiply
1,2,3
1,358
X 4
5432.

Question 2.
A conference coordinator has 128 chairs to arrange in 11 rows. If each row has the same number of chairs, how many chairs are in each row? How many chairs are left over?
In each row there are 11 chairs and 7 chairs are left over,

Explanation:
Given a conference coordinator has 128 chairs to arrange in 11 rows.
If each row has the same number of chairs,
Number of chairs are in each row are
128 ÷ 11 =
11) 128(11
11
18
11
7
11 chairs and many chairs are left over 7 chairs.

Divide. Show your work.

Question 3.
960 ÷ 24
_____
40,

Explanation:
Given to divide 960 ÷ 24
24) 960(40
960
0
So 960 ÷ 24 = 40.

Question 4.
3,279 ÷ 82
39 remainder 81,

Explanation:
Given to divide 3,279 ÷ 82
82) 3279(39
246
819
738
81
so 3,279 ÷ 82 = 39 remainder 81.

Question 5. 17 remainder 4,

Explanation:
Given to divide 769 ÷ 45,
45)769(17
45
319
315
4
So 769 ÷ 45 = 17 remainder 4.

Question 6. 55,

Explanation:
Given to divide 2,145 ÷ 39 ,
39 )2145(55
195
195
195
0,
So 2,145 ÷ 39 = 55.

Question 7.
Use Repeated Reasoning A cell phone has 4,515 megabytes of storage space available. Each downloaded song is 12 megabytes, and each downloaded podcast is 84 megabytes. • If only songs or only podcasts are downloaded, how many more songs than podcasts can be downloaded? Explain your thinking.
______________________
______________________
• If the phone is filled with only songs or only podcasts, how many megabytes would be left on the phone?
______________________
_____________________

More songs than podcasts can be downloaded are
323 songs,
If the phone is filled with only songs
megabytes would be left on the phone are 3 mega bytes,
If the phone is filled with only podcasts,
megabytes would be left on the phone is 63 mega bytes.

Explanation:
Given A cell phone has 4,515 megabytes of storage space available.
Each downloaded song is 12 megabytes and
If only songs 4515 ÷ 12
12)4515(376
36
91
84
75
72
3
If only podcast 4515 ÷ 84
84)4515(53
420
315
252
63

If only songs or only podcasts are downloaded, more songs than podcasts can be downloaded are only songs  we have 376  and only podcasts we have 53
so 376- 53 = 323 more songs.
If the phone is filled with only songs megabytes would be left on the phone are 3 mega bytes,
If the phone is filled with only podcasts, megabytes would be left on the phone is 63 mega bytes.

Question 8.
STEM Olive is designing a logo for the screen of a video game. The screen is 1,920 pixels wide and 1,080 pixels high. The logo is made up of squares that are each 75 pixels wide and 75 pixels high. How many squares wide and how many squares tall can the logo be? The number of squares wide is 25 and
The number of squares tall the logo is 14
Explanation:
Olive is designing a logo for the screen of a video game.
The screen is 1,920 pixels wide and 1,080 pixels high.
The logo is made up of squares that are each 75 pixels wide and
75 pixels high. Number of squares wide is
75)1920(25
150
420
375
45
and Number of squares tall can the logo be
75)1080(14
75
330
300
30
Therefore the number of squares wide is 25 and
number of squares tall the logo is 14.

Divide. Show your work

Question 9. 337,

Explanation:
Given to divide 9,099 ÷ 27
27)9099(337
81
99
81
189
189
0
So 9,099 ÷ 27 = 337.

Question 10.
7,293 ÷ 35
______________________
208 remainder 13,

Explanation:
35)7293(208
70
293
280
13

Question 11. 30 remainder 33,

Explanation:
91)2763(30
2730
33

Question 12.
811 ÷ 53
______________________
15 remainder 33,

Explanation:
53)811(15
53
281
265
16

Question 13.
Use Repeated Reasoning Krithika makes green dresses with buttons. Each dress requires 11 buttons and 72 inches of green fabric.

• Krithika has a box of 80 buttons and a roll of 500 inches of fabric. How many whole dresses can she make using these items? Explain how you found your answer.
• How many buttons and inches of fabric will be left over after making this number of dresses? How do you know?

6 whole dresses,
14 buttons and 68 inches of fabric will be left

Explanation:
Given Krithika makes green dresses with buttons.
Each dress requires 11 buttons and 72 inches of green fabric.
Krithika has a box of 80 buttons and a roll of 500 inches of fabric.
Whole dresses can she make using these items are
11)80(7
77
3
as Krithika have 80 buttons only so by dividing it by each dress requires 11 buttons we get whole dresses.
she can make are 7 dresses for 1 dress she requires 72 inches of green fabric for 7 dresses she requires
72 X 7 = 504 but we have the fabric of only 500 inches,
So Krithika will make only 6 dresses only,
Buttons required are 6 X 11 = 66 buttons and fabric is 72 X 6 =  432 inches, Now buttons and inches of fabric will be leftover after making this number of dresses are 80 buttons – 66 buttons = 14 buttons,
500 inches – 432 inches = 68 inches, by calculating as above given information, we came to know about left over.

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