Solution - Long subtraction
101.832
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 | 2 | |||||
| - | 0 | . | 1 | 6 | 8 | ||
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| . |
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 (2.00) which becomes (1.99) and get (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 9 | 10 | ||||
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-8=2
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 9 | 10 | ||||
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| . | 2 |
Subtract the numbers in the hundredths column from the top number:
9-6=3
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 9 | 10 | ||||
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| . | 3 | 2 |
Subtract the numbers in the tenths column from the top number:
9-1=8
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 9 | 10 | ||||
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| . | 8 | 3 | 2 |
Subtract the numbers in the ones column from the top number:
1-0=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 9 | 10 | ||||
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| 1 | . | 8 | 3 | 2 |
Write 0 in the tens place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 9 | 10 | ||||
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| 0 | 1 | . | 8 | 3 | 2 |
Write 1 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | 9 | 10 | ||||
| 1 | 0 | 2 | . | 0 | 0 | 0 | |
| - | 0 | . | 1 | 6 | 8 | ||
| 1 | 0 | 1 | . | 8 | 3 | 2 |
The solution is: 101.832
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