Solution - Long subtraction
6.586
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | ones | . | tenths | hundredths | thousandths |
| 6 | . | 7 | 5 | ||
| - | 0 | . | 1 | 6 | 4 |
| . |
Put zeros in the blank number places:
| Place value | ones | . | tenths | hundredths | thousandths |
| 6 | . | 7 | 5 | 0 | |
| - | 0 | . | 1 | 6 | 4 |
| . |
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 digit (5) in the next number place which becomes (4) and get (10).
| Place value | ones | . | tenths | hundredths | thousandths |
| 4 | 10 | ||||
| 6 | . | 7 | 5 | 0 | |
| - | 0 | . | 1 | 6 | 4 |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-4=6
| Place value | ones | . | tenths | hundredths | thousandths |
| 4 | 10 | ||||
| 6 | . | 7 | 5 | 0 | |
| - | 0 | . | 1 | 6 | 4 |
| . | 6 |
Because the upper digit (4) in the hundredths column is too small to get a positive difference, borrow 1 from the digit (7) in the next number place which becomes (6) and get (14).
| Place value | ones | . | tenths | hundredths | thousandths |
| 6 | 14 | ||||
| 4 | 10 | ||||
| 6 | . | 7 | 5 | 0 | |
| - | 0 | . | 1 | 6 | 4 |
| . | 6 |
Subtract the numbers in the hundredths column from the top number:
14-6=8
| Place value | ones | . | tenths | hundredths | thousandths |
| 6 | 14 | ||||
| 4 | 10 | ||||
| 6 | . | 7 | 5 | 0 | |
| - | 0 | . | 1 | 6 | 4 |
| . | 8 | 6 |
Subtract the numbers in the tenths column from the top number:
6-1=5
| Place value | ones | . | tenths | hundredths | thousandths |
| 6 | 14 | ||||
| 4 | 10 | ||||
| 6 | . | 7 | 5 | 0 | |
| - | 0 | . | 1 | 6 | 4 |
| . | 5 | 8 | 6 |
Subtract the numbers in the ones column from the top number:
6-0=6
| Place value | ones | . | tenths | hundredths | thousandths |
| 6 | 14 | ||||
| 4 | 10 | ||||
| 6 | . | 7 | 5 | 0 | |
| - | 0 | . | 1 | 6 | 4 |
| 6 | . | 5 | 8 | 6 |
The solution is: 6.586
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