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 | ten thousandths |
| 2 | 5 | . | 9 | 2 | |||
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the ten thousandths column is too small to get a positive difference, borrow 1 from the number to the left (20) which becomes (19) and get (10).
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . |
Subtract the numbers in the ten thousandths column from the top number:
10-0-8=2
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . | 2 |
Subtract the numbers in the thousandths column from the top number:
9-8=1
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . | 1 | 2 |
Because the upper digit (1) in the hundredths 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 (11).
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 8 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . | 1 | 2 |
Subtract the numbers in the hundredths column from the top number:
11-7=4
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 8 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . | 4 | 1 | 2 |
Subtract the numbers in the tenths column from the top number:
8-4=4
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 8 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . | 4 | 4 | 1 | 2 |
Because the upper digit (5) in the ones 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 (15).
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 15 | ||||||
| 8 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| . | 4 | 4 | 1 | 2 |
Subtract the numbers in the ones column from the top number:
15-8=7
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 15 | ||||||
| 8 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| 7 | . | 4 | 4 | 1 | 2 |
Subtract the numbers in the tens column from the top number:
1-1=0
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 15 | ||||||
| 8 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 2 | 5 | . | 9 | 2 | 0 | 0 | |
| - | 1 | 8 | . | 4 | 7 | 8 | 8 |
| 0 | 7 | . | 4 | 4 | 1 | 2 |
The solution is: 7.4412
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