Solution - Long subtraction
45.289
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | |||
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | 0 | 0 | |
| . |
2. Subtract the numbers using long subtraction method
Subtract the numbers in the thousandths column from the top number:
9-0=9
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | 0 | 0 | |
| . | 9 |
Subtract the numbers in the hundredths column from the top number:
8-0=8
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | 0 | 0 | |
| . | 8 | 9 |
Subtract the numbers in the tenths column from the top number:
3-1=2
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | 0 | 0 | |
| . | 2 | 8 | 9 |
Because the upper digit (2) in the ones column is too small to get a positive difference, borrow 1 from the digit (5) in the next number place which becomes (4) and get (12).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 12 | |||||
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | 0 | 0 | |
| . | 2 | 8 | 9 |
Subtract the numbers in the ones column from the top number:
12-7=5
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 12 | |||||
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | 0 | 0 | |
| 5 | . | 2 | 8 | 9 |
Write 4 in the tens place.
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 12 | |||||
| 5 | 2 | . | 3 | 8 | 9 | |
| - | 7 | . | 1 | 0 | 0 | |
| 4 | 5 | . | 2 | 8 | 9 |
The solution is: 45.289
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