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Subtract two 2-digit numbers with regrouping

This understanding treats a two-digit number as tens and ones and explains regrouping as decomposing one ten into 10 ones when the minuend has fewer ones than the subtrahend, while preserving the number’s value. It supports finding nonnegative differences of two-digit whole numbers with place-value notation and the standard algorithm, interpreting the result as the amount remaining, and checking by addition; multi-digit subtraction and regrouping across multiple place values are outside this scope.

Detailed Explanation: Subtract two 2-digit numbers with regrouping

To subtract two-digit numbers, subtract the ones first and then the tens.

Example: 522852-28

  1. Look at the ones.
    We need to subtract 88 ones from 22 ones, but 22 is too small.

  2. Regroup one ten.
    Take 11 ten from the 55 tens. This leaves 44 tens.
    Trade that ten for 1010 ones:

52=4 tens 12 ones52=4\text{ tens }12\text{ ones}
  1. Subtract the ones.

128=412-8=4
  1. Subtract the tens.

42=24-2=2
  1. Put the tens and ones together.

5228=2452-28=24

Check your answer by adding:

24+28=5224+28=52

So, the difference is 24\boxed{24}.

Learn by doing: Subtract two 2-digit numbers with regrouping

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Subtraction - Whole Number 2 x 2, With Borrow


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