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8.

# Subtract by Breaking up Tens and Hundreds

Practice subtracting numbers within 1000 with carry at the tens place. While subtracting numbers using place value concepts, students subtract ones from ones, tens from tens and hundreds from hundreds. In this method, sometimes it is necessary to break up hundreds into tens and break up tens as ones.

For example, the subtraction 353 - 164 can be viewed as:

3 hundreds  5 tens  3 ones
- 1 hundred    6 tens  4 ones

We can rewrite 3 hundreds 5 tens and 3 ones in 353 in the following way:

Break up a hundred into tens
2 hundreds 15 tens 3 ones

Break up a ten and ones
2 hundreds 14 tens 13 ones

which makes it straight forward to subtract, as shown below:

2 hundreds  14 tens  13 ones
- 1 hundred     6 tens   4 ones
1 hundred     8 tens   9 ones

Subtract by Breaking up Tens and Hundreds Worksheet focuses on problems with such situations, where it is necessary to break up hundreds as tens and tens as ones. This concept is the precursor to the concept of carry in the standard algorithm.

### Common Core Alignment

2.NBT.7Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.