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Subtract 3-digit numbers without regrouping

This understanding involves subtracting one three-digit whole number from another when each minuend digit is at least as great as the corresponding subtrahend digit, so hundreds, tens, and ones can be subtracted independently according to place value. The difference can be represented in standard or expanded form, and accurate alignment of digits is essential; cases requiring regrouping, including borrowing across place values, are outside this scope.

Detailed Explanation: Subtract 3-digit numbers without regrouping

Line up the numbers by place value: hundreds under hundreds, tens under tens, and ones under ones. Then subtract each column, starting with the ones.

Example:

864− 321\begin{array}{r} 864\\ -\ 321\\ \hline \end{array}
  1. Subtract the ones: 4−1=34-1=3.
  2. Subtract the tens: 6−2=46-2=4.
  3. Subtract the hundreds: 8−3=58-3=5.

Write each answer in its matching place:

864− 321543\begin{array}{r} 864\\ -\ 321\\ \hline 543 \end{array}

So, 864−321=543864-321=\boxed{543}. No regrouping is needed because each top digit is greater than or equal to the digit below it.

Learn by doing: Subtract 3-digit numbers without regrouping

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    Subtraction - Whole Number 3 x 3, No Borrow

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