Check Division With Multiplication

Check a Division Using Multiplication

A division problem can be checked by using the inverse operation, multiplication. If you divide a number and get a quotient, you can test whether the answer is correct by multiplying the quotient by the divisor.

Method

1. Start with the division answer: identify the quotient and the divisor.
2. Multiply them together.
3. Compare the product with the original dividend.
4. If the product matches the dividend, the division is correct.

Example idea

If a division gives a quotient of 6 with divisor 4, check it by computing:

6 × 4 = 24

If the original dividend was 24, the check works.

Why this works

Division and multiplication are inverse operations. That means one undoes the other. A correct division answer should always rebuild the original number when multiplied by the divisor.

Good check habits

• Write the multiplication clearly.
• Make sure you use the quotient and the divisor, not the dividend.
• If the product is different from the original number, go back and recalculate the division.

This method helps you confirm your work quickly and catch mistakes before moving on.