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Celeste International School

Grade 4 · Worksheet

Number & the laws of arithmetic

The laws of arithmetic

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    Which statement is always true?

    1. A108 × 6 = 6 × 108
    2. B108 − 6 = 6 − 108
    3. C108 ÷ 6 = 6 ÷ 108
    4. DAll of these
  2. 2.

    Using the distributive law, 36 × 8 is the same as…

    1. A(30 × 8) + (6 × 8)
    2. B30 × 8
    3. C36 + 8
    4. D(36 × 4) × 2
  3. 3.

    Which calculation shows the commutative law?

    1. A34 × 16 = 16 × 34
    2. B34 × 16 = 30 × 16 + 4 × 16
    3. C34 + 16 − 16
    4. D34 ÷ 16
  4. 4.

    For these numbers, 13 × 26 = 26 × 13.

    True False
  5. 5.

    For these numbers, 65 × 36 = 36 × 65.

    True False
  6. 6.

    For these numbers, 43 − 21 = 21 − 43.

    True False
  7. 7.

    For these numbers, 17 − 61 = 61 − 17.

    True False
  8. 8.

    For these numbers, 72 × 20 = 20 × 72.

    True False
  9. 9.

    For these numbers, 26 × 65 = 65 × 26.

    True False
  10. 10.

    For these numbers, 24 − 51 = 51 − 24.

    True False
  11. 11.

    For these numbers, 19 + 78 = 78 + 19.

    True False
  12. 12.

    For these numbers, 67 × 55 = 55 × 67.

    True False
  13. 13.

    For these numbers, 37 × 80 = 80 × 37.

    True False
  14. 14.

    For these numbers, 46 − 15 = 15 − 46.

    True False
  15. 15.

    For these numbers, 71 + 60 = 60 + 71.

    True False
  16. 16.

    For these numbers, 52 + 40 = 40 + 52.

    True False
  17. 17.

    For these numbers, 40 ÷ 30 = 30 ÷ 40.

    True False
  18. 18.

    For these numbers, 64 × 54 = 54 × 64.

    True False
  19. 19.

    For these numbers, 21 − 51 = 51 − 21.

    True False
  20. 20.

    For these numbers, 70 × 96 = 96 × 70.

    True False
Celeste International School

Answer key

Number & the laws of arithmetic — The laws of arithmetic

  1. 1.A. 108 × 6 = 6 × 108
  2. 2.A. (30 × 8) + (6 × 8)
  3. 3.A. 34 × 16 = 16 × 34
  4. 4.True
  5. 5.True
  6. 6.False
  7. 7.False
  8. 8.True
  9. 9.True
  10. 10.False
  11. 11.True
  12. 12.True
  13. 13.True
  14. 14.False
  15. 15.True
  16. 16.True
  17. 17.False
  18. 18.True
  19. 19.False
  20. 20.True