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 | ten thousandths |
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (1) in the ten thousandths 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 (11).
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 11 | |||||
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| . |
Subtract the numbers in the ten thousandths column from the top number:
11-2=9
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 11 | |||||
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| . | 9 |
Subtract the numbers in the thousandths column from the top number:
4-0=4
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 11 | |||||
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| . | 4 | 9 |
Subtract the numbers in the hundredths column from the top number:
9-6=3
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 11 | |||||
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| . | 3 | 4 | 9 |
Because the upper digit (0) in the tenths 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 | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 10 | |||||
| 4 | 11 | |||||
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| . | 3 | 4 | 9 |
Subtract the numbers in the tenths column from the top number:
10-5=5
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 10 | |||||
| 4 | 11 | |||||
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| . | 5 | 3 | 4 | 9 |
Subtract the numbers in the ones column from the top number:
4-3=1
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 10 | |||||
| 4 | 11 | |||||
| 5 | . | 0 | 9 | 5 | 1 | |
| - | 3 | . | 5 | 6 | 0 | 2 |
| 1 | . | 5 | 3 | 4 | 9 |
The solution is: 1.5349
How did we do?
Please leave us feedback.Why learn this
Why learn this