Solution - Long subtraction
4.3654
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 |
| 5 | ||||||
| - | 0 | . | 6 | 3 | 4 | 6 |
| . |
Put zeros in the blank number places:
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 5 | . | 0 | 0 | 0 | 0 | |
| - | 0 | . | 6 | 3 | 4 | 6 |
| . |
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 (5.000) which becomes (4.999) and get (10).
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | 0 | |
| - | 0 | . | 6 | 3 | 4 | 6 |
| . |
Subtract the numbers in the ten thousandths column from the top number:
10-0-6=4
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | 0 | |
| - | 0 | . | 6 | 3 | 4 | 6 |
| . | 4 |
Subtract the numbers in the thousandths column from the top number:
9-4=5
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | 0 | |
| - | 0 | . | 6 | 3 | 4 | 6 |
| . | 5 | 4 |
Subtract the numbers in the hundredths column from the top number:
9-3=6
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | 0 | |
| - | 0 | . | 6 | 3 | 4 | 6 |
| . | 6 | 5 | 4 |
Subtract the numbers in the tenths column from the top number:
9-6=3
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | 0 | |
| - | 0 | . | 6 | 3 | 4 | 6 |
| . | 3 | 6 | 5 | 4 |
Subtract the numbers in the ones column from the top number:
4-0=4
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 9 | 10 | ||
| 5 | . | 0 | 0 | 0 | 0 | |
| - | 0 | . | 6 | 3 | 4 | 6 |
| 4 | . | 3 | 6 | 5 | 4 |
The solution is: 4.3654
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