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 |
| 3 | 0 | 1 | . | 5 | 9 | ||
| - | 4 | 4 | . | 2 | 2 | 3 | |
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| . |
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 (9) in the next number place which becomes (8) and get (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-3=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| . | 7 |
Subtract the numbers in the hundredths column from the top number:
8-2=6
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| . | 6 | 7 |
Subtract the numbers in the tenths column from the top number:
5-2=3
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| . | 3 | 6 | 7 |
Because the upper digit (1) in the ones column is too small to get a positive difference, borrow 1 from the number to the left (30) which becomes (29) and get (11).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 2 | 9 | 11 | |||||
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| . | 3 | 6 | 7 |
Subtract the numbers in the ones column from the top number:
11-4=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 2 | 9 | 11 | |||||
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| 7 | . | 3 | 6 | 7 |
Subtract the numbers in the tens column from the top number:
9-4=5
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 2 | 9 | 11 | |||||
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| 5 | 7 | . | 3 | 6 | 7 |
Write 2 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 2 | 9 | 11 | |||||
| 8 | 10 | ||||||
| 3 | 0 | 1 | . | 5 | 9 | 0 | |
| - | 4 | 4 | . | 2 | 2 | 3 | |
| 2 | 5 | 7 | . | 3 | 6 | 7 |
The solution is: 257.367
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