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 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | ||
. |
Put zeros in the blank number places:
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
. |
2. Subtract the numbers using long subtraction method
Subtract the numbers in the thousandths column from the top number:
6-0=6
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
. | 6 |
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 | tens | ones | . | tenths | hundredths | thousandths |
4 | 10 | |||||
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
. | 6 |
Subtract the numbers in the hundredths column from the top number:
10-5=5
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 10 | |||||
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
. | 5 | 6 |
Subtract the numbers in the tenths column from the top number:
4-1=3
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 10 | |||||
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
. | 3 | 5 | 6 |
Because the upper digit (3) in the ones column is too small to get a positive difference, borrow 1 from the digit (1) in the next number place which becomes (0) and get (13).
Place value | tens | ones | . | tenths | hundredths | thousandths |
0 | 13 | |||||
4 | 10 | |||||
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
. | 3 | 5 | 6 |
Subtract the numbers in the ones column from the top number:
13-9=4
Place value | tens | ones | . | tenths | hundredths | thousandths |
0 | 13 | |||||
4 | 10 | |||||
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
4 | . | 3 | 5 | 6 |
Write 0 in the tens place.
Place value | tens | ones | . | tenths | hundredths | thousandths |
0 | 13 | |||||
4 | 10 | |||||
1 | 3 | . | 5 | 0 | 6 | |
- | 9 | . | 1 | 5 | 0 | |
0 | 4 | . | 3 | 5 | 6 |
The solution is: 4.356
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