The inverse relationship between multiplication and division allows a product to be checked by dividing it by either known factor: if , then and . This connection is represented by related fact families and arrays of equal groups, reinforces that division is not commutative, and applies to whole-number facts with products up to 100; multi-digit algorithms, remainders, and generalized algebraic verification are not included.
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To check a multiplication fact, use division. Division can “undo” multiplication.
If , then you can check it by finding either:
Example: Check whether .
You could also check it by dividing by :
Remember that the order matters in division: is not the same as .
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