Soluzione - Long subtraction
Spiegazione passo passo
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | 4 | 2 | ||||||
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , |
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 number to the left (2.000) which becomes (1.999) and get (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , |
Subtract the numbers in the ten thousandths column from the top number:
10-0-3=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , | 7 |
Subtract the numbers in the thousandths column from the top number:
9-3=6
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , | 6 | 7 |
Subtract the numbers in the hundredths column from the top number:
9-3=6
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , | 6 | 6 | 7 |
Subtract the numbers in the tenths column from the top number:
9-8=1
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , | 1 | 6 | 6 | 7 |
Because the upper digit (1) 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 (11).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 3 | 11 | |||||||
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| , | 1 | 6 | 6 | 7 |
Subtract the numbers in the ones column from the top number:
11-7=4
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 3 | 11 | |||||||
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| 4 | , | 1 | 6 | 6 | 7 |
Because the upper digit (3) in the tens column is too small to get a positive difference, borrow 1 from the digit (2) in the next number place which becomes (1) and get (13).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 13 | |||||||
| 3 | 11 | |||||||
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| 4 | , | 1 | 6 | 6 | 7 |
Subtract the numbers in the tens column from the top number:
13-9=4
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 13 | |||||||
| 3 | 11 | |||||||
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| 4 | 4 | , | 1 | 6 | 6 | 7 |
Subtract the numbers in the hundreds column from the top number:
1-1=0
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | 13 | |||||||
| 3 | 11 | |||||||
| 1 | 9 | 9 | 9 | 10 | ||||
| 2 | 4 | 2 | , | 0 | 0 | 0 | 0 | |
| - | 1 | 9 | 7 | , | 8 | 3 | 3 | 3 |
| 0 | 4 | 4 | , | 1 | 6 | 6 | 7 |
The solution is: 44,1667
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