Within whole numbers through 1,000, addition and subtraction are inverse operations: if , then subtracting either addend from should recover the other, allowing an addition result to be verified and errors in place-value regrouping to be identified. The understanding applies to standard numerical equations and related unknown-addend situations, not to negative numbers, decimals, fractions, or formal algebraic generalizations.
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When you add two numbers, you can check your answer by subtracting either addend from the sum. Addition and subtraction are inverse operations, which means they undo each other.
Example:
Check the answer by subtracting one addend:
The subtraction gives , which is the other addend. So the addition is correct:
You could also check by subtracting :
If the subtraction does not give the other addend, recheck your place values and any regrouping in the addition.
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