Find the Quotient

Name

Lesson 2.1 Enrich

Find the Quotient

Use the clue to write and solve a number sentence for each exercise. Choose the dividend from a number in the circles and the divisor from a number in the triangles. You can use the number in each circle only once, but you can use the number in a triangle more than once. The correct number sentence will not contain a remainder.

1. Find the least quotient.

7,600

1,125 4 9 5 125

2. Find the greatest quotient.

7,600 4 2 5 3,800

3. Find the quotient closest to 700.

4,557 4 7 5 651

4. Find a 3-digit quotient with a 4 in the ones place.

4,272 4 8 5 534

5. Find a quotient of 1,675.

8,375 4 5 5 1,675

6. Find the least quotient that ends with a 2.

5,104 4 2 5 2,552

7. Find the quotient closest to 1,100.

2,228 4 2 5 1,114

2

4,557 5

5,104 7

1,125 2,228

8,375 8

9 4,272

Enrich

? Houghton Mifflin Harcourt Publishing Company

E13

Grade 5

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Division Detective

For each exercise below, find the unknown number that belongs in each box.

1 1. 4 7qw 287

4.

1 2 r4

9qw 11 2

7.

4 8

7qw 3 4 1

r5

q 8 10.

1, 5 2 9

4 w 6, 1 1

r2

q 8 9 w 13. 1, 48 r1 6 ,93 5

2.

62

3qw 18 6

q 5.

4 0 r5

8 w 3 2 5

q 8.

3 6 7 r1 2 w 7 3 5

qw 11.

2,5 5 4

3 7,6 6 2

q5 14.

245

w 1,225

Lesson 2.2 Enrich

3.

5 5

8 qw 44 0

q 6.

2,2 0 4 2 w 4,4 0 9

r1

9.

1, 9 5 7 r 1

3qw 5, 8 7 2

q 12.

5 3

4 w 2 1 5

r3

q 15.

7 8 r3 7 w 5 4 9

16.

Explain the strategy

you used to solve Exercise 1.

Possible answer: I divided the tens and then the ones. Then I checked my answer by multiplying the quotient by the divisor.

17. Stretch Your Thinking Explain

how you would solve a division problem with an unknown divisor.

Possible answer:

I would estimate

possible divisors.

Then I would multiply

each possible divisor

by the quotient.

Enrich

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E14

Grade 5

Name

Dividing It Up

Write two related division sentences for each quick picture.

1.

2.

Lesson 2.3 Enrich

224 4 16 5 14 and 224 4 14 5 16

3.

204 4 17 5 12 and 204 4 12 5 17

4.

247 4 13 5 19 and 247 4 19 5 13

240 4 15 5 16 and 240 4 16 5 15

5.

Explain how you can use multiplication to check that

your division sentences for Exercises 1?4 are correct.

Possible answer: For each division sentence, I can multiply the quotient and the divisor. If their product equals the dividend, then my division sentence is correct.

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E15

Grade 5

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Lesson 2.4 Enrich

Partial Quotients Matching

Each division problem below can be solved using two partial quotients. Match each division problem with two partial quotients and with its answer.

1. 56qw 674

Partial Quotients

15

2560

114

2 112

20

2

2. 63qw 1,732

10

21,260

472

2441

5

31

3. 37qw 2,434

1

22,220

214

2185

7

29

4. 49qw 828

60

2735 93

249

2

44

Answer

16 r44

12 r2

27 r31

65 r29

Enrich

? Houghton Mifflin Harcourt Publishing Company

E16

Grade 5

Name

Lesson 2.5 Enrich

Alphabet Estimation

Find two sets of compatible numbers for each problem.

Paroesgsiibvelena. nswers Write the letters of your answers on the lines provided.

1. 87qw 6,066 E, BB

(A) 2,800 4 70

(Q) 4,000 4 80

A, R 2. 74qw 3,227

(B) 1,800 4 30

(R) 3,500 4 70

H, X 3. 62qw 4,635

(C) 2,400 4 40

(S) 1,400 4 70

M, T 4. 94qw 7,542

(D) 1,400 4 20

(T) 7,200 4 90

5. 44qw 3,521 U, DD

(E) 6,300 4 90

(U) 3,600 4 40

B, P 6. 31qw 1,929

(F) 6,400 4 80

(V) 5,600 4 80

I, N 7. 47qw 3,255

(G) 4,800 4 80

(W) 3,600 4 90

F, V 8. 75qw 6,000

(H) 4,800 4 60

(X) 4,200 4 60

G, Q 9. 83qw 4,300

(I) 3,000 4 50

(Y) 1,200 4 20

L, O 10. 29qw 1,433

(J) 2,700 4 90

(Z) 2,100 4 70

D, Y 11. 19qw 1,274

(K) 2,800 4 40

(AA) 5,600 4 70

S, Z 12. 65qw 1,681

(L) 1,500 4 30

(BB) 5,400 4 90

K, C 13. 36qw 2,281

(M) 8,100 4 90

(CC) 2,700 4 90

W, CC 14. 92qw 2,899

(N) 3,500 4 50

(DD) 3,200 4 40

J, EE 15. 88qw 2,000

(O) 1,200 4 30

(EE) 1,800 4 90

16. 72qw 5,525 AA, FF

(P) 2,100 4 30

(FF) 4,900 4 70

17. Stretch Your Thinking Which letters have a quotient of 70? Which letters have a quotient of 80?

18.

Write a division

problem that has a 2-digit divisor and

estimated quotients of 50 and 60.

D, E, K, N, P, V, X, FF all have a quotient of 70; F, H, T, AA, DD all have a quotient of 80.

Answers will vary. Possible answer: 1,166 4 22

Enrich

? Houghton Mifflin Harcourt Publishing Company

E17

Grade 5

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