Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 9 | . | 3 | 8 | ||
| - | 9 | . | 6 | 1 | 4 | |
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 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 (8) in the next number place which becomes (7) and get (10).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-4=6
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| . | 6 |
Subtract the numbers in the hundredths column from the top number:
7-1=6
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| . | 6 | 6 |
Because the upper digit (3) in the tenths column is too small to get a positive difference, borrow 1 from the digit (9) in the next number place which becomes (8) and get (13).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| . | 6 | 6 |
Subtract the numbers in the tenths column from the top number:
13-6=7
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| . | 7 | 6 | 6 |
Because the upper digit (8) in the ones column is too small to get a positive difference, borrow 1 from the digit (6) in the next number place which becomes (5) and get (18).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 18 | |||||
| 8 | 13 | |||||
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| . | 7 | 6 | 6 |
Subtract the numbers in the ones column from the top number:
18-9=9
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 18 | |||||
| 8 | 13 | |||||
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| 9 | . | 7 | 6 | 6 |
Write 5 in the tens place.
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 18 | |||||
| 8 | 13 | |||||
| 7 | 10 | |||||
| 6 | 9 | . | 3 | 8 | 0 | |
| - | 9 | . | 6 | 1 | 4 | |
| 5 | 9 | . | 7 | 6 | 6 |
The solution is: 59.766
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