Solution - Long subtraction
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 |
| 4 | . | 5 | 6 | 2 | 3 | ||
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . |
Put zeros in the blank number places:
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the hundred thousandths column is too small to get a positive difference, borrow 1 from the digit (3) in the next number place which becomes (2) and get (10).
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . |
Subtract the numbers in the hundred thousandths column from the top number:
10-0-3=7
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . | 7 |
Subtract the numbers in the ten thousandths column from the top number:
2-2=0
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . | 0 | 7 |
Because the upper digit (2) in the thousandths column is too small to get a positive difference, borrow 1 from the digit (6) in the next number place which becomes (5) and get (12).
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | 12 | ||||||
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . | 0 | 7 |
Subtract the numbers in the thousandths column from the top number:
12-6=6
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | 12 | ||||||
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . | 6 | 0 | 7 |
Subtract the numbers in the hundredths column from the top number:
5-5=0
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | 12 | ||||||
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . | 0 | 6 | 0 | 7 |
Subtract the numbers in the tenths column from the top number:
5-4=1
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | 12 | ||||||
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| . | 1 | 0 | 6 | 0 | 7 |
Subtract the numbers in the ones column from the top number:
4-0=4
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 5 | 12 | ||||||
| 2 | 10 | ||||||
| 4 | . | 5 | 6 | 2 | 3 | 0 | |
| - | 0 | . | 4 | 5 | 6 | 2 | 3 |
| 4 | . | 1 | 0 | 6 | 0 | 7 |
The solution is: 4.10607
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