Solution - Long subtraction
7.8
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | tens | ones | . | tenths |
| 1 | 3 | |||
| - | 5 | . | 2 | |
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths |
| 1 | 3 | . | 0 | |
| - | 5 | . | 2 | |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the tenths column is too small to get a positive difference, borrow 1 from the digit (3) in the next number place which becomes (2) and get (10).
| Place value | tens | ones | . | tenths |
| 2 | 10 | |||
| 1 | 3 | . | 0 | |
| - | 5 | . | 2 | |
| . |
Subtract the numbers in the tenths column from the top number:
10-0-2=8
| Place value | tens | ones | . | tenths |
| 2 | 10 | |||
| 1 | 3 | . | 0 | |
| - | 5 | . | 2 | |
| . | 8 |
Because the upper digit (2) in the ones column is too small to get a positive difference, borrow 1 from the digit (1) in the next number place which becomes (0) and get (12).
| Place value | tens | ones | . | tenths |
| 0 | 12 | |||
| 2 | 10 | |||
| 1 | 3 | . | 0 | |
| - | 5 | . | 2 | |
| . | 8 |
Subtract the numbers in the ones column from the top number:
12-5=7
| Place value | tens | ones | . | tenths |
| 0 | 12 | |||
| 2 | 10 | |||
| 1 | 3 | . | 0 | |
| - | 5 | . | 2 | |
| 7 | . | 8 |
Write 0 in the tens place.
| Place value | tens | ones | . | tenths |
| 0 | 12 | |||
| 2 | 10 | |||
| 1 | 3 | . | 0 | |
| - | 5 | . | 2 | |
| 0 | 7 | . | 8 |
The solution is: 7.8
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