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 |
4 | . | 6 | |||
- | 2 | . | 9 | 3 | 4 |
. |
Put zeros in the blank number places:
Place value | ones | . | tenths | hundredths | thousandths |
4 | . | 6 | 0 | 0 | |
- | 2 | . | 9 | 3 | 4 |
. |
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 (60) which becomes (59) and get (10).
Place value | ones | . | tenths | hundredths | thousandths |
5 | 9 | 10 | |||
4 | . | 6 | 0 | 0 | |
- | 2 | . | 9 | 3 | 4 |
. |
Subtract the numbers in the thousandths column from the top number:
10-0-4=6
Place value | ones | . | tenths | hundredths | thousandths |
5 | 9 | 10 | |||
4 | . | 6 | 0 | 0 | |
- | 2 | . | 9 | 3 | 4 |
. | 6 |
Subtract the numbers in the hundredths column from the top number:
9-3=6
Place value | ones | . | tenths | hundredths | thousandths |
5 | 9 | 10 | |||
4 | . | 6 | 0 | 0 | |
- | 2 | . | 9 | 3 | 4 |
. | 6 | 6 |
Because the upper digit (5) in the tenths 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 (15).
Place value | ones | . | tenths | hundredths | thousandths |
3 | 15 | ||||
5 | 9 | 10 | |||
4 | . | 6 | 0 | 0 | |
- | 2 | . | 9 | 3 | 4 |
. | 6 | 6 |
Subtract the numbers in the tenths column from the top number:
15-9=6
Place value | ones | . | tenths | hundredths | thousandths |
3 | 15 | ||||
5 | 9 | 10 | |||
4 | . | 6 | 0 | 0 | |
- | 2 | . | 9 | 3 | 4 |
. | 6 | 6 | 6 |
Subtract the numbers in the ones column from the top number:
3-2=1
Place value | ones | . | tenths | hundredths | thousandths |
3 | 15 | ||||
5 | 9 | 10 | |||
4 | . | 6 | 0 | 0 | |
- | 2 | . | 9 | 3 | 4 |
1 | . | 6 | 6 | 6 |
The solution is: 1.666
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