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 |
| 1 | 0 | 8 | . | 2 | |||
| - | 1 | . | 4 | 2 | 9 | ||
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 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 number to the left (20) which becomes (19) and get (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-9=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| . | 1 |
Subtract the numbers in the hundredths column from the top number:
9-2=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| . | 7 | 1 |
Because the upper digit (1) in the tenths column is too small to get a positive difference, borrow 1 from the digit (8) in the next number place which becomes (7) and get (11).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| . | 7 | 1 |
Subtract the numbers in the tenths column from the top number:
11-4=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| . | 7 | 7 | 1 |
Subtract the numbers in the ones column from the top number:
7-1=6
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| 6 | . | 7 | 7 | 1 |
Write 0 in the tens place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| 0 | 6 | . | 7 | 7 | 1 |
Write 1 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 11 | ||||||
| 1 | 9 | 10 | |||||
| 1 | 0 | 8 | . | 2 | 0 | 0 | |
| - | 1 | . | 4 | 2 | 9 | ||
| 1 | 0 | 6 | . | 7 | 7 | 1 |
The solution is: 106.771
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