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 |
| 1 | 9 | . | 4 | 3 | ||
| - | 7 | . | 7 | 6 | 3 | |
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| . |
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 | tens | ones | . | tenths | hundredths | thousandths |
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-3=7
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| . | 7 |
Because the upper digit (2) in the hundredths 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 (12).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 3 | 12 | |||||
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| . | 7 |
Subtract the numbers in the hundredths column from the top number:
12-6=6
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 3 | 12 | |||||
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| . | 6 | 7 |
Because the upper digit (3) in the tenths 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 (13).
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||
| 3 | 12 | |||||
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| . | 6 | 7 |
Subtract the numbers in the tenths column from the top number:
13-7=6
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||
| 3 | 12 | |||||
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| . | 6 | 6 | 7 |
Subtract the numbers in the ones column from the top number:
8-7=1
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||
| 3 | 12 | |||||
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| 1 | . | 6 | 6 | 7 |
Write 1 in the tens place.
| Place value | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||
| 3 | 12 | |||||
| 2 | 10 | |||||
| 1 | 9 | . | 4 | 3 | 0 | |
| - | 7 | . | 7 | 6 | 3 | |
| 1 | 1 | . | 6 | 6 | 7 |
The solution is: 11.667
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