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 |
| 8 | 9 | 6 | . | 3 | 5 | ||
| - | 2 | 5 | . | 6 | 3 | 9 | |
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| . |
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 | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-9=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| . | 1 |
Subtract the numbers in the hundredths column from the top number:
4-3=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| . | 1 | 1 |
Because the upper digit (3) in the tenths 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 (13).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 13 | ||||||
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| . | 1 | 1 |
Subtract the numbers in the tenths column from the top number:
13-6=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 13 | ||||||
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| . | 7 | 1 | 1 |
Subtract the numbers in the ones column from the top number:
5-5=0
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 13 | ||||||
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| 0 | . | 7 | 1 | 1 |
Subtract the numbers in the tens column from the top number:
9-2=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 13 | ||||||
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| 7 | 0 | . | 7 | 1 | 1 |
Write 8 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 13 | ||||||
| 4 | 10 | ||||||
| 8 | 9 | 6 | . | 3 | 5 | 0 | |
| - | 2 | 5 | . | 6 | 3 | 9 | |
| 8 | 7 | 0 | . | 7 | 1 | 1 |
The solution is: 870.711
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