Solution - Long subtraction
0.0228
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 0 | . | 5 | ||||
| - | 0 | . | 4 | 7 | 7 | 2 |
| . |
Put zeros in the blank number places:
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 0 | . | 5 | 0 | 0 | 0 | |
| - | 0 | . | 4 | 7 | 7 | 2 |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the ten thousandths column is too small to get a positive difference, borrow 1 from the number to the left (500) which becomes (499) and get (10).
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||
| 0 | . | 5 | 0 | 0 | 0 | |
| - | 0 | . | 4 | 7 | 7 | 2 |
| . |
Subtract the numbers in the ten thousandths column from the top number:
10-0-2=8
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||
| 0 | . | 5 | 0 | 0 | 0 | |
| - | 0 | . | 4 | 7 | 7 | 2 |
| . | 8 |
Subtract the numbers in the thousandths column from the top number:
9-7=2
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||
| 0 | . | 5 | 0 | 0 | 0 | |
| - | 0 | . | 4 | 7 | 7 | 2 |
| . | 2 | 8 |
Subtract the numbers in the hundredths column from the top number:
9-7=2
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||
| 0 | . | 5 | 0 | 0 | 0 | |
| - | 0 | . | 4 | 7 | 7 | 2 |
| . | 2 | 2 | 8 |
Subtract the numbers in the tenths column from the top number:
4-4=0
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||
| 0 | . | 5 | 0 | 0 | 0 | |
| - | 0 | . | 4 | 7 | 7 | 2 |
| . | 0 | 2 | 2 | 8 |
Subtract the numbers in the ones column from the top number:
0-0=0
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||
| 0 | . | 5 | 0 | 0 | 0 | |
| - | 0 | . | 4 | 7 | 7 | 2 |
| 0 | . | 0 | 2 | 2 | 8 |
The solution is: 0.0228
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