Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 9 | 9 | 4 | 5 | |||||
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| . |
Put zeros in the blank number places:
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| . |
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 number to the left (5.00) which becomes (4.99) and get (10).
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| . |
Subtract the numbers in the thousandths column from the top number:
10-0-6=4
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| . | 4 |
Subtract the numbers in the hundredths column from the top number:
9-4=5
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| . | 5 | 4 |
Subtract the numbers in the tenths column from the top number:
9-3=6
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| . | 6 | 5 | 4 |
Because the upper digit (4) in the ones 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 (14).
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 3 | 14 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| . | 6 | 5 | 4 |
Subtract the numbers in the ones column from the top number:
14-5=9
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 3 | 14 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| 9 | . | 6 | 5 | 4 |
Because the upper digit (3) in the tens 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 (13).
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||||
| 3 | 14 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| 9 | . | 6 | 5 | 4 |
Subtract the numbers in the tens column from the top number:
13-6=7
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||||
| 3 | 14 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| 7 | 9 | . | 6 | 5 | 4 |
Subtract the numbers in the hundreds column from the top number:
8-4=4
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||||
| 3 | 14 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| 4 | 7 | 9 | . | 6 | 5 | 4 |
Write 9 in the thousands place.
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths |
| 8 | 13 | |||||||
| 3 | 14 | |||||||
| 4 | 9 | 9 | 10 | |||||
| 9 | 9 | 4 | 5 | . | 0 | 0 | 0 | |
| - | 4 | 6 | 5 | . | 3 | 4 | 6 | |
| 9 | 4 | 7 | 9 | . | 6 | 5 | 4 |
The solution is: 9479.654
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