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 |
| 5 | 2 | . | 3 | 6 | ||
| - | 2 | 8 | . | 7 | 3 | 2 |
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| . |
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 (6) in the next number place which becomes (5) and get (10).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-2=8
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| . | 8 |
Subtract the numbers in the hundredths column from the top number:
5-3=2
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| . | 2 | 8 |
Because the upper digit (3) in the tenths column is too small to get a positive difference, borrow 1 from the digit (2) in the next number place which becomes (1) and get (13).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 13 | |||||
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| . | 2 | 8 |
Subtract the numbers in the tenths column from the top number:
13-7=6
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 13 | |||||
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| . | 6 | 2 | 8 |
Because the upper digit (1) in the ones 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 (11).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 11 | |||||
| 1 | 13 | |||||
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| . | 6 | 2 | 8 |
Subtract the numbers in the ones column from the top number:
11-8=3
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 11 | |||||
| 1 | 13 | |||||
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| 3 | . | 6 | 2 | 8 |
Subtract the numbers in the tens column from the top number:
4-2=2
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 11 | |||||
| 1 | 13 | |||||
| 5 | 10 | |||||
| 5 | 2 | . | 3 | 6 | 0 | |
| - | 2 | 8 | . | 7 | 3 | 2 |
| 2 | 3 | . | 6 | 2 | 8 |
The solution is: 23.628
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