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3A · Chapter 6 · Practice

Chapter review

Attempt independently, then review the full reasoning in the answer key.

Attempt independently, then review the full reasoning in the answer key. No name, account, or answer is transmitted to any server.

Assessment · 32 questions

Problems

The complete solutions are available here after each question and on the printable answer-key page.

  1. A1

    Explain why 195÷3 has a two-digit quotient rather than a three-digit quotient.

    Show answer and reasoning

    Answer: 65

    Three groups of 100 would require 300, which is more than 195. 195÷3=65.

  2. A2

    Compute 840÷4 by thinking of tens rather than ones.

    Show answer and reasoning

    Answer: 210

    84 tens divided into 4 equal groups gives 21 tens in each group=210.

  3. A3

    Calculate 48 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 24

    Group 48 into 2 equal parts using place-value exchanges. Each group has 24. Verify 24×2=48.

  4. A4

    Calculate 228 ÷ 3. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 76

    Group 228 into 3 equal parts using place-value exchanges. Each group has 76. Verify 76×3=228.

  5. A5

    Calculate 228 ÷ 4. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 57

    Group 228 into 4 equal parts using place-value exchanges. Each group has 57. Verify 57×4=228.

  6. A6

    Calculate 78 ÷ 3. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 26

    Group 78 into 3 equal parts using place-value exchanges. Each group has 26. Verify 26×3=78.

  7. A7

    Calculate 225 ÷ 3. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 75

    Group 225 into 3 equal parts using place-value exchanges. Each group has 75. Verify 75×3=225.

  8. A8

    Calculate 64 ÷ 4. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 16

    Group 64 into 4 equal parts using place-value exchanges. Each group has 16. Verify 16×4=64.

  9. A9

    Calculate 56 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 28

    Group 56 into 2 equal parts using place-value exchanges. Each group has 28. Verify 28×2=56.

  10. A10

    Calculate 400 ÷ 5. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 80

    Group 400 into 5 equal parts using place-value exchanges. Each group has 80. Verify 80×5=400.

  11. A11

    Calculate 28 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 14

    Group 28 into 2 equal parts using place-value exchanges. Each group has 14. Verify 14×2=28.

  12. A12

    Calculate 144 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 72

    Group 144 into 2 equal parts using place-value exchanges. Each group has 72. Verify 72×2=144.

  13. A13

    Calculate 730 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 365

    Group 730 into 2 equal parts using place-value exchanges. Each group has 365. Verify 365×2=730.

  14. A14

    Calculate 330 ÷ 5. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 66

    Group 330 into 5 equal parts using place-value exchanges. Each group has 66. Verify 66×5=330.

  15. A15

    Calculate 800 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 400

    Group 800 into 2 equal parts using place-value exchanges. Each group has 400. Verify 400×2=800.

  16. A16

    Calculate 33 ÷ 3. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 11

    Group 33 into 3 equal parts using place-value exchanges. Each group has 11. Verify 11×3=33.

  17. A17

    Calculate 94 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 47

    Group 94 into 2 equal parts using place-value exchanges. Each group has 47. Verify 47×2=94.

  18. A18

    Calculate 485 ÷ 5. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 97

    Group 485 into 5 equal parts using place-value exchanges. Each group has 97. Verify 97×5=485.

  19. A19

    Calculate 2,000 ÷ 4. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 500

    Group 2,000 into 4 equal parts using place-value exchanges. Each group has 500. Verify 500×4=2,000.

  20. A20

    Calculate 68 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 34

    Group 68 into 2 equal parts using place-value exchanges. Each group has 34. Verify 34×2=68.

  21. A21

    Calculate 324 ÷ 3. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 108

    Group 324 into 3 equal parts using place-value exchanges. Each group has 108. Verify 108×3=324.

  22. A22

    A student writes 608÷2=34. Explain the place-value error and correct answer.

    Show answer and reasoning

    Answer: 304

    6 hundreds ÷2=3 hundreds; zero tens stays zero; 8 ones÷2=4, so 304.

  23. A23

    Calculate 210 ÷ 3. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 70

    Group 210 into 3 equal parts using place-value exchanges. Each group has 70. Verify 70×3=210.

  24. A24

    Calculate 36 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 18

    Group 36 into 2 equal parts using place-value exchanges. Each group has 18. Verify 18×2=36.

  25. A25

    Calculate 218 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 109

    Group 218 into 2 equal parts using place-value exchanges. Each group has 109. Verify 109×2=218.

  26. A26

    Calculate 74 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 37

    Group 74 into 2 equal parts using place-value exchanges. Each group has 37. Verify 37×2=74.

  27. A27

    There are 735 seeds, shared among five boxes. How many go in each?

    Show answer and reasoning

    Answer: 147

    735÷5=147; 147×5=735.

  28. A28

    Calculate 88 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 44

    Group 88 into 2 equal parts using place-value exchanges. Each group has 44. Verify 44×2=88.

  29. A29

    Calculate 344 ÷ 4. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 86

    Group 344 into 4 equal parts using place-value exchanges. Each group has 86. Verify 86×4=344.

  30. A30

    Calculate 144 ÷ 3. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 48

    Group 144 into 3 equal parts using place-value exchanges. Each group has 48. Verify 48×3=144.

  31. A31

    Calculate 292 ÷ 2. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 146

    Group 292 into 2 equal parts using place-value exchanges. Each group has 146. Verify 146×2=292.

  32. A32

    Calculate 65 ÷ 5. Explain how you check your quotient.

    Show answer and reasoning

    Answer: 13

    Group 65 into 5 equal parts using place-value exchanges. Each group has 13. Verify 13×5=65.

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