# Eureka Math Grade 4 Module 3 Lesson 31 Answer Key

## Engage NY Eureka Math 4th Grade Module 3 Lesson 31 Answer Key

### Eureka Math Grade 4 Module 3 Lesson 31 Sprint Answer Key

Divide.  Question 1.
6 ÷ 2 =
6 ÷ 2 = 3,

Explanation:
Divided 6 ÷ 2 we get quotient 3.

Question 2.
60 ÷ 2 =
60 ÷ 2 = 30,

Explanation:
Divided 60 ÷ 2 we get quotient 30.

Question 3.
600 ÷ 2 =
600 ÷ 2 = 300,

Explanation:
Divided 600 ÷ 2 we get quotient 300.

Question 4.
6,000 ÷ 2 =
6,000 ÷ 2 = 3,000,

Explanation:
Divided 6,000 ÷ 2 we get quotient 3,000.

Question 5.
9 ÷ 3 =
9 ÷ 3 = 3,

Explanation:
Divided 9 ÷ 3 we get quotient 3.

Question 6.
90 ÷ 3 =
90 ÷ 3 = 30,

Explanation:
Divided 90 ÷ 3 we get quotient 30.

Question 7.
900 ÷ 3 =
900 ÷ 3 = 300,

Explanation:
Divided 900 ÷ 3 we get quotient 3.

Question 8.
9,000 ÷ 3 =
9,000 ÷ 3 = 3,000,

Explanation:
Divided 9,000 ÷ 3 we get quotient 3,000.

Question 9.
10 ÷ 5 =
10 ÷ 5 = 2,

Explanation:
Divided 10 ÷ 5 we get quotient 2.

Question 10.
15 ÷ 5 =
15 ÷ 5 = 3,

Explanation:
Divided 15 ÷ 5 we get quotient 3.

Question 11.
150 ÷ 5 =
150 ÷ 5 = 3,

Explanation:
Divided 150 ÷ 5 we get quotient 30.

Question 12.
1,500 ÷ 5 =
1,500 ÷ 5 = 300,

Explanation:
Divided 1,500 ÷ 5 we get quotient 300.

Question 13.
2,500 ÷ 5 =
2,500 ÷ 5 = 500,

Explanation:
Divided 2,500 ÷ 5 we get quotient 500.

Question 14.
3,500 ÷ 5 =
3,500 ÷ 5 = 700,

Explanation:
Divided 3,500 ÷ 5 we get quotient 700.

Question 15.
4,500 ÷ 5 =
4,500 ÷ 5 = 900,

Explanation:
Divided 4,500 ÷ 5 we get quotient 900.

Question 16.
450 ÷ 5 =
450 ÷ 5 = 90,

Explanation:
Divided 450 ÷ 5 we get quotient 90.

Question 17.
8 ÷ 4 =
8 ÷ 4 = 2,

Explanation:
Divided 8 ÷ 4 we get quotient 2.

Question 18.
12 ÷ 4 =
12 ÷ 4 = 3,

Explanation:
Divided 12 ÷ 4 we get quotient 3.

Question 19.
120 ÷ 4 =
120 ÷ 4 = 30,

Explanation:
Divided 120 ÷ 4 we get quotient 30.

Question 20.
1,200 ÷ 4 =
1,200 ÷ 4 = 300,

Explanation:
Divided 1,200 ÷ 4 we get quotient 300.

Question 21.
25 ÷ 5 =
25 ÷ 5 = 5,

Explanation:
Divided 25 ÷ 5 we get quotient 5.

Question 22.
30 ÷ 5 =
30 ÷ 5 = 6,

Explanation:
Divided 30 ÷ 5 we get quotient 6.

Question 23.
300 ÷ 5 =
300 ÷ 5 = 60,

Explanation:
Divided 300 ÷ 5 we get quotient 60.

Question 24.
3,000 ÷ 5 =
3,000 ÷ 5 = 600,

Explanation:
Divided 3,000 ÷ 5 we get quotient 600.

Question 25.
16 ÷ 4 =
16 ÷ 4 = 4,

Explanation:
Divided 16 ÷ 4 we get quotient 4.

Question 26.
160 ÷ 4 =
160 ÷ 4 = 40,

Explanation:
Divided 160 ÷ 4 we get quotient 40.

Question 27.
18 ÷ 6 =
18 ÷ 6 = 3,

Explanation:
Divided 18 ÷ 6 we get quotient 3.

Question 28.
1,800 ÷ 6 =
1,800 ÷ 6 = 300,

Explanation:
Divided 1,800 ÷ 6 we get quotient 300.

Question 29.
28 ÷ 7 =
28 ÷ 7 = 4,

Explanation:
Divided 28 ÷ 7 we get quotient 4.

Question 30.
280 ÷ 7 =
280 ÷ 7 = 40,

Explanation:
Divided 280 ÷ 7 we get quotient 40.

Question 31.
48 ÷ 8 =
48 ÷ 8 = 6,

Explanation:
Divided 48 ÷ 8 we get quotient 6.

Question 32.
4,800 ÷ 8 =
4,800 ÷ 8 = 600,

Explanation:
Divided 4,800 ÷ 8 we get quotient 600.

Question 33.
6,300 ÷ 9 =
6,300 ÷ 9 = 7,

Explanation:
Divided 6,300 ÷ 9 we get quotient 7.

Question 34.
200 ÷ 5 =
200 ÷ 5 = 40,

Explanation:
Divided 200 ÷ 5 we get quotient 40.

Question 35.
560 ÷ 7 =
560 ÷ 7 = 80,

Explanation:
Divided 560 ÷ 7 we get quotient 80.

Question 36.
7,200 ÷ 9 =
7,200 ÷ 9 = 800,

Explanation:
Divided 7,200 ÷ 9 we get quotient 800.

Question 37.
480 ÷ 6 =
480 ÷ 6 = 80,

Explanation:
Divided 480 ÷ 6 we get quotient 80.

Question 38.
5,600 ÷ 8 =
5,600 ÷ 8 = 700,

Explanation:
Divided 5,600 ÷ 8 we get quotient 700.

Question 39.
400 ÷ 5 =
400 ÷ 5 = 80,

Explanation:
Divided 400 ÷ 5 we get quotient 80.

Question 40.
6,300 ÷ 7 =
6,300 ÷ 7 = 900,

Explanation:
Divided 6,300 ÷ 7 we get quotient 900.

Question 41.
810 ÷ 9 =
810 ÷ 9 = 90,

Explanation:
Divided 810 ÷ 9 we get quotient 90.

Question 42.
640 ÷ 8 =
640 ÷ 8 = 80,

Explanation:
Divided 640 ÷ 8 we get quotient 80.

Question 43.
5,400 ÷ 6 =
5,400 ÷ 6 = 900,

Explanation:
Divided 5,400 ÷ 6 we get quotient 900.

Question 44.
4,000 ÷ 5 =
4,000 ÷ 5 = 800,

Explanation:
Divided 4,000 ÷ 5 we get quotient 800.

Divide.  Question 1.
4 ÷ 2 =
4 ÷ 2 = 2,

Explanation:
Divided 4 ÷ 2 we get quotient 2.

Question 2.
40 ÷ 2 =
40 ÷ 2 = 20,

Explanation:
Divided 40 ÷ 2 we get quotient 20.

Question 3.
400 ÷ 2 =
400 ÷ 2 = 200,

Explanation:
Divided 400 ÷ 2 we get quotient 200.

Question 4.
4,000 ÷ 2 =
4,000 ÷ 2 = 2,000,

Explanation:
Divided 4,000 ÷ 2 we get quotient 2,000.

Question 5.
6 ÷ 3 =
6 ÷ 3 = 2,

Explanation:
Divided 6 ÷ 3 we get quotient 2.

Question 6.
60 ÷ 3 =
60 ÷ 3 = 20,

Explanation:
Divided 60 ÷ 3 we get quotient 20.

Question 7.
600 ÷ 3 =
600 ÷ 3 = 200,

Explanation:
Divided 600 ÷ 3 we get quotient 200.

Question 8.
6,000 ÷ 3 =
6,000 ÷ 3 = 2,000,

Explanation:
Divided 6,000 ÷ 3 we get quotient 2,000.

Question 9.
10 ÷ 5 =
10 ÷ 5 = 2,

Explanation:
Divided 10 ÷ 5 we get quotient 2.

Question 10.
15 ÷ 5 =
15 ÷ 5 = 3,

Explanation:
Divided 15 ÷ 5 we get quotient 3.

Question 11.
150 ÷ 5 =
150 ÷ 5 = 30,

Explanation:
Divided 150 ÷ 5 we get quotient 30.

Question 12.
250 ÷ 5 =
250 ÷ 5 = 50,

Explanation:
Divided 250 ÷ 5 we get quotient 50.

Question 13.
350 ÷ 5 =
350 ÷ 5 = 70,

Explanation:
Divided 350 ÷ 5 we get quotient 70.

Question 14.
3,500 ÷ 5 =
3,500 ÷ 5 = 700,

Explanation:
Divided 3,500 ÷ 5 we get quotient 700.

Question 15.
4,500 ÷ 5 =
4,500 ÷ 5 = 900,

Explanation:
Divided 4,500 ÷ 5 we get quotient 900.

Question 16.
450 ÷ 5 =
450 ÷ 5 = 90,

Explanation:
Divided 450 ÷ 5 we get quotient 90.

Question 17.
9 ÷ 3 =
9 ÷ 3 = 3,

Explanation:
Divided 9 ÷ 3 we get quotient 3.

Question 18.
12 ÷ 3 =
12 ÷ 3 = 4,

Explanation:
Divided 12 ÷ 3 we get quotient 4.

Question 19.
120 ÷ 3 =
120 ÷ 3 = 40,

Explanation:
Divided 120 ÷ 3 we get quotient 40.

Question 20.
1,200 ÷ 3 =
1,200 ÷ 3 = 400,

Explanation:
Divided 1,200 ÷ 3 we get quotient 400.

Question 21.
25 ÷ 5 =
25 ÷ 5 = 5,

Explanation:
Divided 25 ÷ 5 we get quotient 5.

Question 22.
20 ÷ 5 =
20 ÷ 5 = 4,

Explanation:
Divided 20 ÷ 5 we get quotient 4.

Question 23.
200 ÷ 5 =
200 ÷ 5 = 40,

Explanation:
Divided 200 ÷ 5 we get quotient 40.

Question 24.
2,000 ÷ 5 =
2,000 ÷ 5 = 400,

Explanation:
Divided 2,000 ÷ 5 we get quotient 400.

Question 25.
12 ÷ 4 =
12 ÷ 4 = 3,

Explanation:
Divided 12 ÷ 4 we get quotient 3.

Question 26.
120 ÷ 4 =
120 ÷ 4 = 30,

Explanation:
Divided 120 ÷ 4 we get quotient 30.

Question 27.
21 ÷ 7 =
21 ÷ 7 = 3,

Explanation:
Divided 21 ÷ 7 we get quotient 3.

Question 28.
2,100 ÷ 7 =
2,100 ÷ 7 = 300,

Explanation:
Divided 2,100 ÷ 7 we get quotient 300.

Question 29.
18 ÷ 6 =
18 ÷ 6 = 3,

Explanation:
Divided 18 ÷ 6 we get quotient 3.

Question 30.
180 ÷ 6 =
180 ÷ 6 = 30,

Explanation:
Divided 180 ÷ 6 we get quotient 30.

Question 31.
54 ÷ 9 =
54 ÷ 9 = 6,

Explanation:
Divided 54 ÷ 9 we get quotient 6.

Question 32.
5,400 ÷ 9 =
5,400 ÷ 9 = 600,

Explanation:
Divided 5,400 ÷ 9 we get quotient 600.

Question 33.
5,600 ÷ 8 =
5,600 ÷ 8 = 700,

Explanation:
Divided 5,600 ÷ 8 we get quotient 700.

Question 34.
300 ÷ 5 =
300 ÷ 5 = 60,

Explanation:
Divided 300 ÷ 5 we get quotient 60.

Question 35.
490 ÷ 7 =
490 ÷ 7 = 70,

Explanation:
Divided 490 ÷ 7 we get quotient 70.

Question 36.
6,300 ÷ 9 =
6,300 ÷ 9 = 700,

Explanation:
Divided 6,300 ÷ 9 we get quotient 700.

Question 37.
420 ÷ 6 =
420 ÷ 6 = 70,

Explanation:
Divided 420 ÷ 6 we get quotient 70.

Question 38.
4,800 ÷ 8 =
4,800 ÷ 8 = 600,

Explanation:
Divided 4,800 ÷ 8 we get quotient 600.

Question 39.
4,000 ÷ 5 =
4,000 ÷ 5 = 800,

Explanation:
Divided 4,000 ÷ 5 we get quotient 800.

Question 40.
560 ÷ 8 =
560 ÷ 8 = 70,

Explanation:
Divided 560 ÷ 8 we get quotient 70.

Question 41.
6,400 ÷ 8 =
6,400 ÷ 8 = 800,

Explanation:
Divided 6,400 ÷ 8 we get quotient 800.

Question 42.
720 ÷ 8 =
720 ÷ 8 = 90,

Explanation:
Divided 720 ÷ 8 we get quotient 90.

Question 43.
4,800 ÷ 6 =
4,800 ÷ 6 = 800,

Explanation:
Divided 4,800 ÷ 6 we get quotient 800.

Question 44.
400 ÷ 5 =
400 ÷ 5 = 80,

Explanation:
Divided 400 ÷ 5 we get quotient 80.

### Eureka Math Grade 4 Module 3 Lesson 31 Problem Set Answer Key

Draw a tape diagram and solve. The first two tape diagrams have been drawn for you. Identify if the group size or the number of groups is unknown.

Question 1.
Monique needs exactly 4 plates on each table for the banquet. If she has 312 plates, how many tables is she able to prepare? Monique is able to prepare 78 tables,
The number of groups is unknown,

Explanation:
Given Monique needs exactly 4 plates on each table for the banquet.
If she has 312 plates, number of tables is she able to prepare is
312 plates ÷ 4=
78
4|312
28
032
032
0
Therefore, Monique is able to prepare 78 tables, the number of groups is unknown.

Question 2.
2,365 books were donated to an elementary school. If 5 classrooms shared the books equally, how many books did each class receive? Each class will receive 473 books,
The group size is unknown,

Explanation:
Given 2,365 books were donated to an elementary school.
If 5 classrooms shared the books equally,
Number of books did each class will receive is 2,365 ÷ 5 =
473
5|2,365
20
36
35
15
15
0
Therefore, Each class will receive 473 books,
The group size is unknown.

Question 3.
If 1,503 kilograms of rice was packed in sacks weighing 3 kilograms each, how many sacks were packed?
501 sacks were packed,
The number of groups is unknown,

Explanation: Given
If 1,503 kilograms of rice was packed in sacks weighing 3 kilograms each, number of sacks were packed are 1,503 ÷ 3 = 501
as shown above, The number of groups is unknown.

Question 4.
Rita made 5 batches of cookies. There was a total of 2,400 cookies. If each batch contained the same number of cookies, how many cookies were in 4 batches?
There were 1,920 cookies in 4 batches,
the group size is unknown,

Explanation: Given Rita made 5 batches of cookies.
There was a total of 2,400 cookies.
If each batch contained the same number of cookies,
So number of cookies were in 4 batches are 1,920,
the group size is unknown.

Question 5.
Every day, Sarah drives the same distance to work and back home. If Sarah drove 1,005 miles in 5 days, how far did Sarah drive in 3 days?
Sarah drove 603 miles in 3 days,
the group size is unknown,

Explanation: Given every day, Sarah drives the same distance to work and back home.
If Sarah drove 1,005 miles in 5 days, So Sarah drive in 3 days is 603 miles,
the group size is unknown.

### Eureka Math Grade 4 Module 3 Lesson Exit Ticket Answer Key

Solve the following problems. Draw tape diagrams to help you solve. Identify if the group size or the number of groups is unknown.

Question 1.
572 cars were parked in a parking garage. The same number of cars was parked on each floor. If there were 4 floors, how many cars were parked on each floor?
Number of cars were parked on each floor is 143 cars,
the group size is unknown,

Explanation: Given 572 cars were parked in a parking garage.
The same number of carscwas parked on each floor.
If there were 4 floors, number of cars were parked on each floor are 143 cars as shown above,the group size is unknown.

Question 2.
356 kilograms of flour were packed into sacks holding 2 kilograms each. How many sacks were packed?
178 sacks were packed, the number of groups is unknown,

Explanation: Given 356 kilograms of flour were packed into sacks holding 2 kilograms each. Number of sacks were packed are 356 ÷ 2 = 178 sacks,
the number of groups is unknown.

### Eureka Math Grade 4 Module 3 Lesson Homework Answer Key

Solve the following problems. Draw tape diagrams to help you solve. Identify if the group size or the number of groups is unknown.

Question 1.
500 milliliters of juice was shared equally by 4 children. How many milliliters of juice did each child get?
Each child will get 125 milliliters of juice, the group size is unknown, Explanation:
Given 500 milliliters of juice was shared equally by 4 children.
So number of milliliters of juice did each child will get is
125 milliliters as shown above, the group size is unknown.

Question 2.
Kelly separated 618 cookies into baggies. Each baggie contained 3 cookies. How many baggies of cookies did Kelly make?
Kelly will make 206 baggies of cookies, the number of groups is unknown, Explanation:
Given Kelly separated 618 cookies into baggies.
Each baggie contained 3 cookies.
Number of baggies of cookies did Kelly make are 206 baggies of cookies, the number of groups is unknown.

Question 3.
Jeff biked the same distance each day for 5 days. If he traveled 350 miles altogether, how many miles did he travel each day?
Each day Jeff traveled 70 miles, the group size is unknown, Explanation:
Given Jeff biked the same distance each day for 5 days. If he traveled 350 miles altogether, Number of miles did Jeff traveled each day is 70 miles, the group size is unknown.

Question 4.
A piece of ribbon 876 inches long was cut by a machine into 4-inch long strips to be made into bows. How many strips were cut?
219 strips were cut, the number of groups is unknown, Explanation:
Given a piece of ribbon 876 inches long was cut by a machine into 4-inch long strips to be made into bows. Number of strips were cut are 219 the number of groups is unknown.

Question 5.
Five Martians equally share 1,940 Groblarx fruits. How many Groblarx fruits will 3 of the Martians receive? 