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 |
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (1) in the hundred thousandths column is too small to get a positive difference, borrow 1 from the number to the left (1.0000) which becomes (0.9999) and get (11).
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . |
Subtract the numbers in the hundred thousandths column from the top number:
11-4=7
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . | 7 |
Subtract the numbers in the ten thousandths column from the top number:
9-3=6
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . | 6 | 7 |
Subtract the numbers in the thousandths column from the top number:
9-2=7
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . | 7 | 6 | 7 |
Subtract the numbers in the hundredths column from the top number:
9-1=8
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . | 8 | 7 | 6 | 7 |
Subtract the numbers in the tenths column from the top number:
9-1=8
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . | 8 | 8 | 7 | 6 | 7 |
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 | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 10 | |||||||
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| . | 8 | 8 | 7 | 6 | 7 |
Subtract the numbers in the ones column from the top number:
10-1=9
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 10 | |||||||
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| 9 | . | 8 | 8 | 7 | 6 | 7 |
Write 0 in the tens place.
| Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 0 | 10 | |||||||
| 0 | 9 | 9 | 9 | 9 | 11 | |||
| 1 | 1 | . | 0 | 0 | 0 | 0 | 1 | |
| - | 1 | . | 1 | 1 | 2 | 3 | 4 | |
| 0 | 9 | . | 8 | 8 | 7 | 6 | 7 |
The solution is: 9.88767
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