Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | |||||
| . |
Put zeros in the blank number places:
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| . |
2. Subtract the numbers using long subtraction method
Subtract the numbers in the thousandths column from the top number:
5-0=5
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| . | 5 |
Subtract the numbers in the hundredths column from the top number:
1-0=1
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| . | 1 | 5 |
Subtract the numbers in the tenths column from the top number:
9-0=9
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| . | 9 | 1 | 5 |
Because the upper digit (4) in the ones 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 | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 14 | |||||||
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| . | 9 | 1 | 5 |
Subtract the numbers in the ones column from the top number:
14-5=9
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 14 | |||||||
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| 9 | . | 9 | 1 | 5 |
Subtract the numbers in the tens column from the top number:
8-8=0
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 14 | |||||||
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| 0 | 9 | . | 9 | 1 | 5 |
Because the upper digit (6) in the hundreds 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 (16).
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 0 | 16 | |||||||
| 8 | 14 | |||||||
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| 0 | 9 | . | 9 | 1 | 5 |
Subtract the numbers in the hundreds column from the top number:
16-9=7
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 0 | 16 | |||||||
| 8 | 14 | |||||||
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| 7 | 0 | 9 | . | 9 | 1 | 5 |
Write 0 in the thousands place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 0 | 16 | |||||||
| 8 | 14 | |||||||
| 1 | 6 | 9 | 4 | . | 9 | 1 | 5 | |
| - | 9 | 8 | 5 | . | 0 | 0 | 0 | |
| 0 | 7 | 0 | 9 | . | 9 | 1 | 5 |
The solution is: 709.915
How did we do?
Please leave us feedback.Why learn this
Why learn this