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 | thousandths | ten thousandths |
| 9 | 5 | 2 | . | 7 | ||||
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the ten thousandths column is too small to get a positive difference, borrow 1 from the number to the left (700) which becomes (699) and get (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . |
Subtract the numbers in the ten thousandths column from the top number:
10-0-9=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . | 1 |
Subtract the numbers in the thousandths column from the top number:
9-8=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . | 1 | 1 |
Subtract the numbers in the hundredths column from the top number:
9-3=6
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . | 6 | 1 | 1 |
Because the upper digit (6) in the tenths 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 (16).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 16 | |||||||
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . | 6 | 1 | 1 |
Subtract the numbers in the tenths column from the top number:
16-7=9
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 16 | |||||||
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| . | 9 | 6 | 1 | 1 |
Subtract the numbers in the ones column from the top number:
1-0=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 16 | |||||||
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| 1 | . | 9 | 6 | 1 | 1 |
Subtract the numbers in the tens column from the top number:
5-4=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 16 | |||||||
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| 1 | 1 | . | 9 | 6 | 1 | 1 |
Subtract the numbers in the hundreds column from the top number:
9-1=8
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 16 | |||||||
| 6 | 9 | 9 | 10 | |||||
| 9 | 5 | 2 | . | 7 | 0 | 0 | 0 | |
| - | 1 | 4 | 0 | . | 7 | 3 | 8 | 9 |
| 8 | 1 | 1 | . | 9 | 6 | 1 | 1 |
The solution is: 811.9611
How did we do?
Please leave us feedback.Why learn this
Why learn this