Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 1 | 3 | . | 9 | 6 | |||||
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . |
Put zeros in the blank number places:
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the millionths column is too small to get a positive difference, borrow 1 from the number to the left (6,000) which becomes (5,999) and get (10).
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . |
Subtract the numbers in the millionths column from the top number:
10-0-1=9
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . | 9 |
Subtract the numbers in the hundred thousandths column from the top number:
9-7=2
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . | 2 | 9 |
Subtract the numbers in the ten thousandths column from the top number:
9-2=7
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . | 7 | 2 | 9 |
Subtract the numbers in the thousandths column from the top number:
9-0=9
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . | 9 | 7 | 2 | 9 |
Subtract the numbers in the hundredths column from the top number:
5-1=4
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . | 4 | 9 | 7 | 2 | 9 |
Subtract the numbers in the tenths column from the top number:
9-9=0
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . | 0 | 4 | 9 | 7 | 2 | 9 |
Because the upper digit (3) 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 (13).
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 13 | ||||||||
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| . | 0 | 4 | 9 | 7 | 2 | 9 |
Subtract the numbers in the ones column from the top number:
13-4=9
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 13 | ||||||||
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| 9 | . | 0 | 4 | 9 | 7 | 2 | 9 |
Write 0 in the tens place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths |
| 0 | 13 | ||||||||
| 5 | 9 | 9 | 9 | 10 | |||||
| 1 | 3 | . | 9 | 6 | 0 | 0 | 0 | 0 | |
| - | 4 | . | 9 | 1 | 0 | 2 | 7 | 1 | |
| 0 | 9 | . | 0 | 4 | 9 | 7 | 2 | 9 |
The solution is: 9.049729
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