We included HMH Into Math Grade 5 Answer Key PDF Module 3 Lesson 1 Divide by 2-Digit Divisors to make students experts in learning maths.
HMH Into Math Grade 5 Module 3 Lesson 1 Answer Key Divide by 2-Digit Divisors
I Can use strategies based on place value to divide 3- and 4-digit dividends by 2-digit divisors.
Step It Out
1. Lana makes clothes for her online store. She makes 19 shirts from a large roll of fabric. Each roll has 610 inches of fabric. How many inches of fabric from the roll does Lana use for each shirt?
A. Write a division problem to represent the situation and estimate the answer.
_______________
B. Divide the tens. Share the tens equally among the 19 groups.
How many tens are in each group? ____
Multiply the result by the divisor and subtract it from the dividend. Record. 61 tens – 57 tens = ___ tens
C. Divide the ones. Regroup 4 tens as 40 ones. Share the ones equally among the 19 groups. How many ones are in each group? ____
Multiply the result by the divisor and subtract. Record.
40 ones – 38 ones = ___ ones
D. Interpret your answer. Then compare it to your estimate to determine if it is reasonable.
Answer:
The division problem is 610 ÷ 19, the estimated answer is 32 remainder 2,
It is reasonable.
Explanation:
Given Lana makes clothes for her online store.
She makes 19 shirts from a large roll of fabric.
Each roll has 610 inches of fabric.
The division problem to represent the situation and estimated the answer as 610 ÷ 19
19)610(32
57
40
38
2
the estimated answer is 32 remainder 2,
It is reasonable.
Turn and Talk What does the remainder tell you about the amount of fabric Lana needs to make another shirt?
Answer:
The remainder tells us Lana requires
more amount of 30 inches of fabric to make another shirt,
Step It Out
2. Lana’s shirts are a hit! Fab Fashion is a company with stores across the country as shown. The company orders 1,200 of her shirts. If each store receives the same number of shirts in the first shipment, how many shirts will each store receive?
A. Use compatible numbers to estimate 1,200 ÷ 38.
______________________
B. Divide the tens. Multiply the result by the divisor and subtract it from the dividend. Record.
C. Divide the ones. Multiply the result by the divisor and subtract it from the dividend. Record.
D. How many shirts will each store have, and how many will be left over?
Answer:
Each store will have 31 shirts and
22 shirts will be left over,
Explanation:
Given Lana’s shirts are a hit! Fab Fashion is a company with stores across the country as shown.
The company orders 1,200 of her shirts.
If each store receives the same number of shirts in the first shipment, shirts will each store receive are
38)1,200(31
114
60
38
22
31 shirts.
therefore each store will have 31 shirts and 22 shirts will be left over,
Turn and Talk Suppose you let a represent the dividend, b the divisor, q the whole-number quotient, and r the remainder in a division problem. What equation could you write to show how these values are related? What does the equation model in this situation?
Answer:
Equation is Dividend = b X q + r,
Explanation:
Let a represent the dividend, b the divisor,
q the whole-number quotient, and
r the remainder in a division problem.
Equation for these values are related as
Dividend = Divisor x Quotient + Remainder,
Equation is Dividend = b X q + r.
Check Understanding Math Board
Question 1.
A museum director wants to display 609 objects in 21 rooms so that each room has the same number of objects. Write a division problem to represent the situation. Estimate, and then find, the number of objects to be displayed in each room. Show your division.
Answer:
The number of objects to be displayed in each room are 29,
Explanation:
Given a museum director wants to display 609 objects in 21 rooms so that each room has the same number of objects.
The division problem to represent the situation is 609 ÷21, the number of objects to be displayed in each room are
21)609(29
42
189
189
0
29 objects.
On Your Own
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?
Answer:
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
Answer:
40,
Explanation:
Given to divide 960 ÷ 24
24) 960(40
960
0
So 960 ÷ 24 = 40.
Question 4.
3,279 ÷ 82
Answer:
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.
Answer:
17 remainder 4,
Explanation:
Given to divide 769 ÷ 45,
45)769(17
45
319
315
4
So 769 ÷ 45 = 17 remainder 4.
Question 6.
Answer:
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?
Answer:
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 each downloaded podcast is 84 megabytes.
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 18.
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?
Answer:
Number of squares wide is 25 and
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 number of squares wide is 25 and number of squares tall the logo is 14.
Divide. Show your work.
Question 9.
Answer:
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
____
Answer:
208 remainder 13,
Explanation:
35)7293(208
70
293
280
13
Question 11.
Answer
30 remainder 33,
Explanation:
91)2763(30
2730
33
Question 12.
811 ÷ 53
Answer:
15 remainder 33,
Explanation:
53)811(15
53
281
265
16
Question 13.
Use Repeated Reasoning Krithika makes green dresses with 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?
Answer:
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 has 80 buttons only so by dividing it by each dress requires 11 buttons we get whole dresses
she can make are 7 dresses as 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 leftover.