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 |
| 3 | 1 | 2 | . | 5 | ||||
| 1 | 5 | 6 | . | 2 | 5 | |||
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . |
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 (500) which becomes (499) and get (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . |
Subtract the numbers in the ten thousandths column from the top number:
10-0-0-5=5
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . | 5 |
Subtract the numbers in the thousandths column from the top number:
9-0-2=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . | 7 | 5 |
Because the upper digit (9) in the hundredths 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 (19).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 3 | 19 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . | 7 | 5 |
Subtract the numbers in the hundredths column from the top number:
19-5-6=8
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 3 | 19 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . | 8 | 7 | 5 |
Subtract the numbers in the tenths column from the top number:
3-2-0=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 3 | 19 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . | 1 | 8 | 7 | 5 |
Because the upper digit (2) in the ones column is too small to get a positive difference, borrow 2 from the number to the left (31) which becomes (29) and get (22).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | 9 | 22 | ||||||
| 3 | 19 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| . | 1 | 8 | 7 | 5 |
Subtract the numbers in the ones column from the top number:
22-6-9=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | 9 | 22 | ||||||
| 3 | 19 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| 7 | . | 1 | 8 | 7 | 5 |
Subtract the numbers in the tens column from the top number:
9-5-3=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | 9 | 22 | ||||||
| 3 | 19 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| 1 | 7 | . | 1 | 8 | 7 | 5 |
Subtract the numbers in the hundreds column from the top number:
2-1=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | 9 | 22 | ||||||
| 3 | 19 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 3 | 1 | 2 | . | 5 | 0 | 0 | 0 | |
| 1 | 5 | 6 | . | 2 | 5 | 0 | 0 | |
| - | 3 | 9 | . | 0 | 6 | 2 | 5 | |
| 1 | 1 | 7 | . | 1 | 8 | 7 | 5 |
The solution is: 117.1875
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