Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
Place value | hundreds | tens | ones | . | tenths | hundredths |
6 | 4 | 3 | . | 5 | ||
- | 6 | 4 | . | 3 | 5 | |
. |
Put zeros in the blank number places:
Place value | hundreds | tens | ones | . | tenths | hundredths |
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
. |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the hundredths column is too small to get a positive difference, borrow 1 from the digit (5) in the next number place which becomes (4) and get (10).
Place value | hundreds | tens | ones | . | tenths | hundredths |
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
. |
Subtract the numbers in the hundredths column from the top number:
10-0-5=5
Place value | hundreds | tens | ones | . | tenths | hundredths |
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
. | 5 |
Subtract the numbers in the tenths column from the top number:
4-3=1
Place value | hundreds | tens | ones | . | tenths | hundredths |
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
. | 1 | 5 |
Because the upper digit (3) in the ones 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 (13).
Place value | hundreds | tens | ones | . | tenths | hundredths |
3 | 13 | |||||
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
. | 1 | 5 |
Subtract the numbers in the ones column from the top number:
13-4=9
Place value | hundreds | tens | ones | . | tenths | hundredths |
3 | 13 | |||||
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
9 | . | 1 | 5 |
Because the upper digit (3) in the tens 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 | hundreds | tens | ones | . | tenths | hundredths |
5 | 13 | |||||
3 | 13 | |||||
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
9 | . | 1 | 5 |
Subtract the numbers in the tens column from the top number:
13-6=7
Place value | hundreds | tens | ones | . | tenths | hundredths |
5 | 13 | |||||
3 | 13 | |||||
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
7 | 9 | . | 1 | 5 |
Write 5 in the hundreds place.
Place value | hundreds | tens | ones | . | tenths | hundredths |
5 | 13 | |||||
3 | 13 | |||||
4 | 10 | |||||
6 | 4 | 3 | . | 5 | 0 | |
- | 6 | 4 | . | 3 | 5 | |
5 | 7 | 9 | . | 1 | 5 |
The solution is: 579.15
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