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 |
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (5) in the hundredths 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 (15).
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| . |
Subtract the numbers in the hundredths column from the top number:
15-7=8
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| . | 8 |
Because the upper digit (5) in the tenths column is too small to get a positive difference, borrow 1 from the digit (4) in the next number place which becomes (3) and get (15).
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 3 | 15 | |||||
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| . | 8 |
Subtract the numbers in the tenths column from the top number:
15-8=7
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 3 | 15 | |||||
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| . | 7 | 8 |
Because the upper digit (3) in the ones column is too small to get a positive difference, borrow 1 from the number to the left (10) which becomes (09) and get (13).
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 0 | 9 | 13 | ||||
| 3 | 15 | |||||
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| . | 7 | 8 |
Subtract the numbers in the ones column from the top number:
13-4=9
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 0 | 9 | 13 | ||||
| 3 | 15 | |||||
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| 9 | . | 7 | 8 |
Write 9 in the tens place.
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 0 | 9 | 13 | ||||
| 3 | 15 | |||||
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| 9 | 9 | . | 7 | 8 |
Write 0 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 0 | 9 | 13 | ||||
| 3 | 15 | |||||
| 5 | 15 | |||||
| 1 | 0 | 4 | . | 6 | 5 | |
| - | 4 | . | 8 | 7 | ||
| 0 | 9 | 9 | . | 7 | 8 |
The solution is: 99.78
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