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 |
| 2 | . | 0 | 0 | 1 | ||
| - | 0 | . | 0 | 0 | 2 | 1 |
| . |
Put zeros in the blank number places:
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the ten thousandths 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 | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 0 | 10 | |||||
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| . |
Subtract the numbers in the ten thousandths column from the top number:
10-0-1=9
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 0 | 10 | |||||
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| . | 9 |
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 (2.00) which becomes (1.99) and get (10).
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 10 | |||
| 0 | 10 | |||||
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| . | 9 |
Subtract the numbers in the thousandths column from the top number:
10-2=8
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 10 | |||
| 0 | 10 | |||||
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| . | 8 | 9 |
Subtract the numbers in the hundredths column from the top number:
9-0=9
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 10 | |||
| 0 | 10 | |||||
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| . | 9 | 8 | 9 |
Subtract the numbers in the tenths column from the top number:
9-0=9
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 10 | |||
| 0 | 10 | |||||
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| . | 9 | 9 | 8 | 9 |
Subtract the numbers in the ones column from the top number:
1-0=1
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 10 | |||
| 0 | 10 | |||||
| 2 | . | 0 | 0 | 1 | 0 | |
| - | 0 | . | 0 | 0 | 2 | 1 |
| 1 | . | 9 | 9 | 8 | 9 |
The solution is: 1.9989
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