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Subtract two 2-digit numbers without regrouping

This understanding involves finding the difference between two nonnegative two-digit numbers when each ones digit of the minuend is at least the corresponding ones digit of the subtrahend and each tens digit is likewise sufficient, so no ten is exchanged or regrouped. It connects place value to the relationship between tens and ones: the digits are subtracted within their respective units, and the results are composed to form the difference; cases requiring regrouping, larger numbers, or more general multidigit algorithms are outside this scope.

Detailed Explanation: Subtract two 2-digit numbers without regrouping

To subtract two 2-digit numbers without regrouping:

  1. Subtract the ones.
  2. Subtract the tens.
  3. Put the answers together.

Example:

58−23\begin{array}{r} 58\\ - 23\\ \hline \end{array}

First, subtract the ones:

8−3=58-3=5

Next, subtract the tens:

5−2=35-2=3

So, the difference is:

58−23=3558-23=35

The answer has 33 tens and 55 ones, which makes (35)(35).

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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