Subtract two 2-digit numbers with regrouping

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:

52-27

1. Look at the ones

There are $2$ ones in $52$ , but we cannot take away $7$ ones. Regroup $1$ ten as $10$ ones.

So, $52$ becomes:

$4$ tens
$12$ ones

The total is still the same because $1$ ten equals $10$ ones.

2. Subtract the ones

12-7=5

Write $5$ in the ones place.

3. Subtract the tens

There are $4$ tens left:

4-2=2

Write $2$ in the tens place.

Therefore,

\boxed{52-27=25}

The difference is $\boxed{25}$ .

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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