Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | |||
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| . |
2. Subtract the numbers using long subtraction method
Subtract the numbers in the thousandths column from the top number:
6-0=6
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| . | 6 |
Because the upper digit (3) 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 (13).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 13 | ||||||
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| . | 6 |
Subtract the numbers in the hundredths column from the top number:
13-5=8
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 13 | ||||||
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| . | 8 | 6 |
Subtract the numbers in the tenths column from the top number:
6-4=2
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 6 | 13 | ||||||
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| . | 2 | 8 | 6 |
Because the upper digit (5) in the ones 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 (15).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 15 | ||||||
| 6 | 13 | ||||||
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| . | 2 | 8 | 6 |
Subtract the numbers in the ones column from the top number:
15-7=8
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 15 | ||||||
| 6 | 13 | ||||||
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| 8 | . | 2 | 8 | 6 |
Write 8 in the tens place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 15 | ||||||
| 6 | 13 | ||||||
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| 8 | 8 | . | 2 | 8 | 6 |
Write 6 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 15 | ||||||
| 6 | 13 | ||||||
| 6 | 9 | 5 | . | 7 | 3 | 6 | |
| - | 7 | . | 4 | 5 | 0 | ||
| 6 | 8 | 8 | . | 2 | 8 | 6 |
The solution is: 688.286
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