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 |
| 1 | 2 | 8 | . | 0 | 4 | ||
| - | 8 | . | 2 | 8 | 7 | ||
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the thousandths 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 (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-7=3
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| . | 3 |
Because the upper digit (3) in the hundredths column is too small to get a positive difference, borrow 1 from the number to the left (8.0) which becomes (7.9) and get (13).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 9 | 13 | |||||
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| . | 3 |
Subtract the numbers in the hundredths column from the top number:
13-8=5
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 9 | 13 | |||||
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| . | 5 | 3 |
Subtract the numbers in the tenths column from the top number:
9-2=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 7 | 9 | 13 | |||||
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| . | 7 | 5 | 3 |
Because the upper digit (7) 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 (17).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 17 | ||||||
| 7 | 9 | 13 | |||||
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| . | 7 | 5 | 3 |
Subtract the numbers in the ones column from the top number:
17-8=9
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 17 | ||||||
| 7 | 9 | 13 | |||||
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| 9 | . | 7 | 5 | 3 |
Write 1 in the tens place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 17 | ||||||
| 7 | 9 | 13 | |||||
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| 1 | 9 | . | 7 | 5 | 3 |
Write 1 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 17 | ||||||
| 7 | 9 | 13 | |||||
| 3 | 10 | ||||||
| 1 | 2 | 8 | . | 0 | 4 | 0 | |
| - | 8 | . | 2 | 8 | 7 | ||
| 1 | 1 | 9 | . | 7 | 5 | 3 |
The solution is: 119.753
How did we do?
Please leave us feedback.Why learn this
Why learn this