Skill: Subtract two 2-digit numbers with regrouping

Explanation and Free Practice Resources

This understanding treats subtraction as finding the difference between two nonnegative two-digit whole numbers and connects regrouping to place value: when the ones digit is insufficient, one ten is decomposed into ten ones, preserving the total while enabling subtraction. Place-value drawings, equations, and the written algorithm represent the same relationship and prevent treating digits independently; the scope excludes numbers beyond two digits, decimals, and negative results.

Detailed Explanation: Subtract two 2-digit numbers with regrouping

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

Example:

52−2752-27

1. Look at the ones

There are 22 ones in 5252, but we cannot take away 77 ones. Regroup 11 ten as 1010 ones.

So, 5252 becomes:

  • 44 tens
  • 1212 ones

The total is still the same because 11 ten equals 1010 ones.

2. Subtract the ones

12−7=512-7=5

Write 55 in the ones place.

3. Subtract the tens

There are 44 tens left:

4−2=24-2=2

Write 22 in the tens place.

Therefore,

52−27=25\boxed{52-27=25}

The difference is 25\boxed{25}.

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Subtraction - Whole Number 2 x 2, With Borrow


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