Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
Place value | ones | . | tenths | hundredths | thousandths |
2 | . | 7 | 3 | ||
- | 0 | . | 7 | 7 | 2 |
. |
Put zeros in the blank number places:
Place value | ones | . | tenths | hundredths | thousandths |
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 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 (3) in the next number place which becomes (2) and get (10).
Place value | ones | . | tenths | hundredths | thousandths |
2 | 10 | ||||
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 2 |
. |
Subtract the numbers in the thousandths column from the top number:
10-0-2=8
Place value | ones | . | tenths | hundredths | thousandths |
2 | 10 | ||||
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 2 |
. | 8 |
Because the upper digit (2) in the hundredths column is too small to get a positive difference, borrow 1 from the digit (7) in the next number place which becomes (6) and get (12).
Place value | ones | . | tenths | hundredths | thousandths |
6 | 12 | ||||
2 | 10 | ||||
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 2 |
. | 8 |
Subtract the numbers in the hundredths column from the top number:
12-7=5
Place value | ones | . | tenths | hundredths | thousandths |
6 | 12 | ||||
2 | 10 | ||||
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 2 |
. | 5 | 8 |
Because the upper digit (6) 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 (16).
Place value | ones | . | tenths | hundredths | thousandths |
1 | 16 | ||||
6 | 12 | ||||
2 | 10 | ||||
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 2 |
. | 5 | 8 |
Subtract the numbers in the tenths column from the top number:
16-7=9
Place value | ones | . | tenths | hundredths | thousandths |
1 | 16 | ||||
6 | 12 | ||||
2 | 10 | ||||
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 2 |
. | 9 | 5 | 8 |
Subtract the numbers in the ones column from the top number:
1-0=1
Place value | ones | . | tenths | hundredths | thousandths |
1 | 16 | ||||
6 | 12 | ||||
2 | 10 | ||||
2 | . | 7 | 3 | 0 | |
- | 0 | . | 7 | 7 | 2 |
1 | . | 9 | 5 | 8 |
The solution is: 1.958
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