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Subtract two 2-digit numbers without regrouping

This understanding involves finding the difference between two two-digit whole numbers, from 10 through 99, when each digit in the minuend is at least as large as the corresponding digit in the subtrahend, so no ten must be exchanged for ten ones. It connects place value to subtraction by treating tens and ones separately and recombining their differences, while avoiding the misconception that digits may be compared or subtracted across place-value positions.

Detailed Explanation: Subtract two 2-digit numbers without regrouping

To subtract two-digit numbers without regrouping, subtract the tens from the tens and the ones from the ones.

Example:

76−4376-43

  1. Line up the place values.

76−43 \begin{array}{r} 76\\ -43\\ \hline \end{array}

The 77 and 44 are tens. The 66 and 33 are ones.

  1. Subtract the ones.

6−3=3 6-3=3

  1. Subtract the tens.

7−4=3 7-4=3
  1. Put the answers together.
    There are 33 tens and 33 ones, so the answer is (33)(33).
76−43=33\boxed{76-43=33}

The subtraction does not need regrouping because 66 is at least 33, and 77 is at least 44. Always subtract digits in the same place-value position.

Learn by doing: Subtract two 2-digit numbers without regrouping

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    Subtraction - Whole Number 2 x 2 - Columns, No Borrow

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