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 |
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | |
. |
Put zeros in the blank number places:
Place value | ones | . | tenths | hundredths | thousandths |
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | 0 |
. |
2. Subtract the numbers using long subtraction method
Subtract the numbers in the thousandths column from the top number:
4-0=4
Place value | ones | . | tenths | hundredths | thousandths |
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | 0 |
. | 4 |
Because the upper digit (8) 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 (18).
Place value | ones | . | tenths | hundredths | thousandths |
3 | 18 | ||||
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | 0 |
. | 4 |
Subtract the numbers in the hundredths column from the top number:
18-9=9
Place value | ones | . | tenths | hundredths | thousandths |
3 | 18 | ||||
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | 0 |
. | 9 | 4 |
Because the upper digit (3) in the tenths column is too small to get a positive difference, borrow 1 from the digit (6) in the next number place which becomes (5) and get (13).
Place value | ones | . | tenths | hundredths | thousandths |
5 | 13 | ||||
3 | 18 | ||||
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | 0 |
. | 9 | 4 |
Subtract the numbers in the tenths column from the top number:
13-8=5
Place value | ones | . | tenths | hundredths | thousandths |
5 | 13 | ||||
3 | 18 | ||||
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | 0 |
. | 5 | 9 | 4 |
Subtract the numbers in the ones column from the top number:
5-1=4
Place value | ones | . | tenths | hundredths | thousandths |
5 | 13 | ||||
3 | 18 | ||||
6 | . | 4 | 8 | 4 | |
- | 1 | . | 8 | 9 | 0 |
4 | . | 5 | 9 | 4 |
The solution is: 4.594
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