Soluzione - Long subtraction
Spiegazione passo passo
1. Rewrite the numbers from top to bottom, aligned by their place values
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
1 | 3 | , | 5 | ||||
- | 2 | , | 8 | 4 | 5 | 6 | |
, |
Put zeros in the blank number places:
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
, |
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 (500) which becomes (499) and get (10).
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
, |
Subtract the numbers in the ten thousandths column from the top number:
10-0-6=4
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
, | 4 |
Subtract the numbers in the thousandths column from the top number:
9-5=4
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
, | 4 | 4 |
Subtract the numbers in the hundredths column from the top number:
9-4=5
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
, | 5 | 4 | 4 |
Because the upper digit (4) in the tenths column is too small to get a positive difference, borrow 1 from the digit (3) in the next number place which becomes (2) and get (14).
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
2 | 14 | ||||||
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
, | 5 | 4 | 4 |
Subtract the numbers in the tenths column from the top number:
14-8=6
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
2 | 14 | ||||||
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
, | 6 | 5 | 4 | 4 |
Subtract the numbers in the ones column from the top number:
2-2=0
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
2 | 14 | ||||||
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
0 | , | 6 | 5 | 4 | 4 |
Write 1 in the tens place.
Place value | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
2 | 14 | ||||||
4 | 9 | 9 | 10 | ||||
1 | 3 | , | 5 | 0 | 0 | 0 | |
- | 2 | , | 8 | 4 | 5 | 6 | |
1 | 0 | , | 6 | 5 | 4 | 4 |
The solution is: 10,6544
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