Division and multiplication are inverse operations: a division equation can be checked by multiplying the divisor by the quotient to recover the dividend when the division is exact. For division with a remainder, the check is , with the remainder less than the divisor; this connects the parts of division and helps identify an incorrect quotient or remainder.
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- Learn “Check division using multiplication” with a detailed explanation of the concept
- Master “Check division using multiplication” with unlimited, free practice problems
- Download (or modify) a free worksheet on Check division using multiplication you can use at home or in class with practice problems that scaffold and explore “Check division using multiplication” from different perspectives.
- Start working on adaptive units like “Division 2 by 1 Digit” or “Division - Long Division - Practice” that introduce, teach, or practice “Check division using multiplication” to maximize your learning.
Detailed Explanation: Check division using multiplication
To check a division problem, use multiplication to see whether you can get back to the original dividend.
For division with a remainder, use:
Example:
-
Identify the parts:
- Divisor:
- Quotient:
- Remainder:
- Dividend:
-
Multiply the divisor by the quotient:
- Add the remainder:
The answer is correct because we got back to the dividend, .
Also, check that the remainder is less than the divisor:
So, is correct.
Learn by doing: Check division using multiplication
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Practice:
Division as Fraction - With Remainder 3 x 2
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Download/Modify Free Grade 4 'Check division using multiplication' Worksheet
Print this free 'Check division using multiplication' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Division as Fraction - With Remainder 3 x 2
- Digit Solving - Long Division - Two Steps, With Remainder - Identify Dividend
- Long Division - With Remainder 4 x 1
- Division Equation - With Remainder 2 x 1
- Long Division - With Remainder 2 x 1
- Long Division - With Remainder 1 x 1
- Digit Solving - Long Division - One Step, With Remainder - Identify Remainder
- Division Cards Model - Deck and Player Count to Remainder (1 Digit)
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Check division using multiplication) through scaffolded problems that grow in difficulty as concepts are understood.