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Find a missing number in a subtraction equation

A learner determines an unknown in a whole-number subtraction equation within 1,000 by interpreting the relationship among the minuend, subtrahend, and difference, using inverse addition, related fact families, or a number line or bar model. The reasoning distinguishes cases such as □ − 246 = 517 and 863 − □ = 517 rather than treating subtraction as commutative; negative numbers, decimals, fractions, and general algebraic equations are outside this scope.

Detailed Explanation: Find a missing number in a subtraction equation

In a subtraction equation, the number being taken away and the answer help you find the missing number.

Example:

246=517\square - 246 = 517

The missing number is the minuend, or the starting number. To find it, use the inverse operation: addition.

Add the number taken away to the difference:

517+246=763517+246=763

So, replace the box with 763763:

763246=517763-246=517

Check by subtracting:

763246=517763-246=517

Therefore, the missing number is

763\boxed{763}

Remember: when the missing number is the starting number, add the other two numbers.

Learn by doing: Find a missing number in a subtraction equation

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Subtraction - Missing Value, 3 Digit, 1 Number


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