Solution - Long subtraction
5.46
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | tens | ones | . | tenths | hundredths |
| 1 | 3 | ||||
| - | 7 | . | 5 | 4 | |
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths |
| 1 | 3 | . | 0 | 0 | |
| - | 7 | . | 5 | 4 | |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the hundredths column is too small to get a positive difference, borrow 1 from the number to the left (3.0) which becomes (2.9) and get (10).
| Place value | tens | ones | . | tenths | hundredths |
| 2 | 9 | 10 | |||
| 1 | 3 | . | 0 | 0 | |
| - | 7 | . | 5 | 4 | |
| . |
Subtract the numbers in the hundredths column from the top number:
10-0-4=6
| Place value | tens | ones | . | tenths | hundredths |
| 2 | 9 | 10 | |||
| 1 | 3 | . | 0 | 0 | |
| - | 7 | . | 5 | 4 | |
| . | 6 |
Subtract the numbers in the tenths column from the top number:
9-5=4
| Place value | tens | ones | . | tenths | hundredths |
| 2 | 9 | 10 | |||
| 1 | 3 | . | 0 | 0 | |
| - | 7 | . | 5 | 4 | |
| . | 4 | 6 |
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 | hundredths |
| 0 | 12 | ||||
| 2 | 9 | 10 | |||
| 1 | 3 | . | 0 | 0 | |
| - | 7 | . | 5 | 4 | |
| . | 4 | 6 |
Subtract the numbers in the ones column from the top number:
12-7=5
| Place value | tens | ones | . | tenths | hundredths |
| 0 | 12 | ||||
| 2 | 9 | 10 | |||
| 1 | 3 | . | 0 | 0 | |
| - | 7 | . | 5 | 4 | |
| 5 | . | 4 | 6 |
Write 0 in the tens place.
| Place value | tens | ones | . | tenths | hundredths |
| 0 | 12 | ||||
| 2 | 9 | 10 | |||
| 1 | 3 | . | 0 | 0 | |
| - | 7 | . | 5 | 4 | |
| 0 | 5 | . | 4 | 6 |
The solution is: 5.46
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