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Grade 3 - Mathematics
2.9 Multiplication and Division as Inverse Operations

  • An inverse operation reverses another operation.
  • Addition and subtraction are inverses of each other.
    Example:
    The addition fact 9 + 5 = 14
    can be written as subtraction fact as
    14 - 5 = 9 or
    14 - 9 = 5
  • Similarly, multiplication and division are inverses of each other.
    Example:
    The multiplication fact 11 5 = 55
    can be written as division fact as
    55 5 = 11 or
    55 11 = 5

Directions: Answer the following questions. Also write at least ten examples for multiplication and division as inverse operations.
Q 1: 7 x 8 = 56. What is the inverse operation?
56 7 = 8
56 7 = 5
8 7 = 1

Q 2: 48 6 = 8. What is the inverse operation?
8 x 6 = 48
6 x 6 = 36
8 x 8 = 64

Q 3: 4 x 5 = 20. What is the inverse operation?
5 4 = 20
20 5 = 4
20 10 = 2

Q 4: 36 6 = 6. What is the inverse operation?
6 x 7 = 42
6 x 6 = 36
7 x 6 = 42

Q 5: 5 x 8 = 40. What is the inverse operation?
8 x 5 = 40
40 5 = 4
40 5 = 8

Q 6: 49 7 = 7. What is the inverse operation?
7 x 7 = 49
49 8 = 7
7 7 = 49

Q 7: 15 x 10 = 150. What is the inverse operation?
150 15 = 10
150 10 = 15
both

Q 8: 54 9 = 6. What is the inverse operation?
9 x 6 = 54
54 6 = 9
54 x 9 = 6

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Question 10: This question is available to subscribers only!


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