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 |
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
. |
2. Subtract the numbers using long subtraction method
Because the upper digit (4) in the thousandths column is too small to get a positive difference, borrow 1 from the digit (9) in the next number place which becomes (8) and get (14).
Place value | tens | ones | . | tenths | hundredths | thousandths |
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
. |
Subtract the numbers in the thousandths column from the top number:
14-5=9
Place value | tens | ones | . | tenths | hundredths | thousandths |
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
. | 9 |
Subtract the numbers in the hundredths column from the top number:
8-8=0
Place value | tens | ones | . | tenths | hundredths | thousandths |
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
. | 0 | 9 |
Because the upper digit (5) in the tenths 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 (15).
Place value | tens | ones | . | tenths | hundredths | thousandths |
0 | 15 | |||||
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
. | 0 | 9 |
Subtract the numbers in the tenths column from the top number:
15-6=9
Place value | tens | ones | . | tenths | hundredths | thousandths |
0 | 15 | |||||
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
. | 9 | 0 | 9 |
Because the upper digit (0) in the ones column is too small to get a positive difference, borrow 1 from the digit (2) in the next number place which becomes (1) and get (10).
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 10 | |||||
0 | 15 | |||||
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
. | 9 | 0 | 9 |
Subtract the numbers in the ones column from the top number:
10-5=5
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 10 | |||||
0 | 15 | |||||
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
5 | . | 9 | 0 | 9 |
Subtract the numbers in the tens column from the top number:
1-1=0
Place value | tens | ones | . | tenths | hundredths | thousandths |
1 | 10 | |||||
0 | 15 | |||||
8 | 14 | |||||
2 | 1 | . | 5 | 9 | 4 | |
- | 1 | 5 | . | 6 | 8 | 5 |
0 | 5 | . | 9 | 0 | 9 |
The solution is: 5.909
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