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 |
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (1) in the hundredths 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 | hundreds | tens | ones | . | tenths | hundredths |
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| . |
Subtract the numbers in the hundredths column from the top number:
11-6=5
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| . | 5 |
Subtract the numbers in the tenths column from the top number:
4-0=4
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| . | 4 | 5 |
Because the upper digit (0) in the ones 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 (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 0 | 10 | |||||
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| . | 4 | 5 |
Subtract the numbers in the ones column from the top number:
10-5=5
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 0 | 10 | |||||
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| 5 | . | 4 | 5 |
Because the upper digit (0) in the tens 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 (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 1 | 10 | |||||
| 0 | 10 | |||||
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| 5 | . | 4 | 5 |
Subtract the numbers in the tens column from the top number:
10-4=6
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 1 | 10 | |||||
| 0 | 10 | |||||
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| 6 | 5 | . | 4 | 5 |
Write 1 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths |
| 1 | 10 | |||||
| 0 | 10 | |||||
| 4 | 11 | |||||
| 2 | 1 | 0 | . | 5 | 1 | |
| - | 4 | 5 | . | 0 | 6 | |
| 1 | 6 | 5 | . | 4 | 5 |
The solution is: 165.45
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