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
Name
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
? Houghton Mifflin Harcourt Publishing Company
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.
Enrich
? Houghton Mifflin Harcourt Publishing Company
E15
Grade 5
Name
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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