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 |
7 | 7 | . | 2 | |||
- | 4 | 3 | . | 7 | 7 | 8 |
. |
Put zeros in the blank number places:
Place value | tens | ones | . | tenths | hundredths | thousandths |
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 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 (20) which becomes (19) and get (10).
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 9 | 10 | ||||
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 8 |
. |
Subtract the numbers in the thousandths column from the top number:
10-0-8=2
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 9 | 10 | ||||
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 8 |
. | 2 |
Subtract the numbers in the hundredths column from the top number:
9-7=2
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 9 | 10 | ||||
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 8 |
. | 2 | 2 |
Because the upper digit (1) in the tenths 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 (11).
Place value | tens | ones | . | tenths | hundredths | thousandths |
6 | 11 | |||||
1 | 9 | 10 | ||||
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 8 |
. | 2 | 2 |
Subtract the numbers in the tenths column from the top number:
11-7=4
Place value | tens | ones | . | tenths | hundredths | thousandths |
6 | 11 | |||||
1 | 9 | 10 | ||||
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 8 |
. | 4 | 2 | 2 |
Subtract the numbers in the ones column from the top number:
6-3=3
Place value | tens | ones | . | tenths | hundredths | thousandths |
6 | 11 | |||||
1 | 9 | 10 | ||||
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 8 |
3 | . | 4 | 2 | 2 |
Subtract the numbers in the tens column from the top number:
7-4=3
Place value | tens | ones | . | tenths | hundredths | thousandths |
6 | 11 | |||||
1 | 9 | 10 | ||||
7 | 7 | . | 2 | 0 | 0 | |
- | 4 | 3 | . | 7 | 7 | 8 |
3 | 3 | . | 4 | 2 | 2 |
The solution is: 33.422
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