Solution - Long subtraction
1.22387
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 | hundred thousandths |
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | ||
| . |
Put zeros in the blank number places:
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| . |
2. Subtract the numbers using long subtraction method
Subtract the numbers in the hundred thousandths column from the top number:
7-0=7
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| . | 7 |
Subtract the numbers in the ten thousandths column from the top number:
8-0=8
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| . | 8 | 7 |
Subtract the numbers in the thousandths column from the top number:
6-3=3
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| . | 3 | 8 | 7 |
Subtract the numbers in the hundredths column from the top number:
7-5=2
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| . | 2 | 3 | 8 | 7 |
Because the upper digit (1) 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 (11).
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 11 | ||||||
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| . | 2 | 3 | 8 | 7 |
Subtract the numbers in the tenths column from the top number:
11-9=2
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 11 | ||||||
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| . | 2 | 2 | 3 | 8 | 7 |
Subtract the numbers in the ones column from the top number:
4-3=1
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 11 | ||||||
| 5 | . | 1 | 7 | 6 | 8 | 7 | |
| - | 3 | . | 9 | 5 | 3 | 0 | 0 |
| 1 | . | 2 | 2 | 3 | 8 | 7 |
The solution is: 1.22387
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