Check multiplication with division

The inverse relationship between multiplication and division allows a product to be checked by dividing it by either known factor: if $a \times b = c$ , then $c \div a = b$ and $c \div b = a$ . 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.

Detailed Explanation: Check multiplication with division

To check a multiplication fact, use division. Division can “undo” multiplication.

If $a \times b = c$ , then you can check it by finding either:

$c \div a = b$
$c \div b = a$

Example: Check whether $6 \times 7 = 42$ .

Start with the product, $42$ .
Divide by one of the known factors, such as $6$ :

42 \div 6 = 7

The answer is the other factor, $7$ . So the multiplication fact is correct:

6 \times 7 = 42

You could also check it by dividing by $7$ :

42 \div 7 = 6

Remember that the order matters in division: $42 \div 6$ is not the same as $6 \div 42$ .

Learn by doing: Check multiplication with division

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Division - Missing Value, Division 2 x 1 Digit

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Check multiplication with division

Detailed Explanation: Check multiplication with division

Learn by doing: Check multiplication with division

Practice with unlimited practice problems

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Division - Missing Value, Division 2 x 1 Digit