Solution - Long subtraction
1.421
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | ones | . | tenths | hundredths | thousandths |
| 5 | |||||
| - | 3 | . | 5 | 7 | 9 |
| . |
Put zeros in the blank number places:
| Place value | ones | . | tenths | hundredths | thousandths |
| 5 | . | 0 | 0 | 0 | |
| - | 3 | . | 5 | 7 | 9 |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the thousandths column is too small to get a positive difference, borrow 1 from the number to the left (5.00) which becomes (4.99) and get (10).
| Place value | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | |
| - | 3 | . | 5 | 7 | 9 |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-9=1
| Place value | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | |
| - | 3 | . | 5 | 7 | 9 |
| . | 1 |
Subtract the numbers in the hundredths column from the top number:
9-7=2
| Place value | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | |
| - | 3 | . | 5 | 7 | 9 |
| . | 2 | 1 |
Subtract the numbers in the tenths column from the top number:
9-5=4
| Place value | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | |
| - | 3 | . | 5 | 7 | 9 |
| . | 4 | 2 | 1 |
Subtract the numbers in the ones column from the top number:
4-3=1
| Place value | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | |
| - | 3 | . | 5 | 7 | 9 |
| 1 | . | 4 | 2 | 1 |
The solution is: 1.421
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