Solution - Long subtraction
30.984
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
Place value | tens | ones | . | tenths | hundredths | thousandths |
3 | 5 | |||||
- | 4 | . | 0 | 1 | 6 | |
. |
Put zeros in the blank number places:
Place value | tens | ones | . | tenths | hundredths | thousandths |
3 | 5 | . | 0 | 0 | 0 | |
- | 4 | . | 0 | 1 | 6 | |
. |
2. Subtract the numbers using long subtraction method
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 (5.00) which becomes (4.99) and get (10).
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 9 | 9 | 10 | |||
3 | 5 | . | 0 | 0 | 0 | |
- | 4 | . | 0 | 1 | 6 | |
. |
Subtract the numbers in the thousandths column from the top number:
10-0-6=4
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 9 | 9 | 10 | |||
3 | 5 | . | 0 | 0 | 0 | |
- | 4 | . | 0 | 1 | 6 | |
. | 4 |
Subtract the numbers in the hundredths column from the top number:
9-1=8
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 9 | 9 | 10 | |||
3 | 5 | . | 0 | 0 | 0 | |
- | 4 | . | 0 | 1 | 6 | |
. | 8 | 4 |
Subtract the numbers in the tenths column from the top number:
9-0=9
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 9 | 9 | 10 | |||
3 | 5 | . | 0 | 0 | 0 | |
- | 4 | . | 0 | 1 | 6 | |
. | 9 | 8 | 4 |
Subtract the numbers in the ones column from the top number:
4-4=0
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 9 | 9 | 10 | |||
3 | 5 | . | 0 | 0 | 0 | |
- | 4 | . | 0 | 1 | 6 | |
0 | . | 9 | 8 | 4 |
Write 3 in the tens place.
Place value | tens | ones | . | tenths | hundredths | thousandths |
4 | 9 | 9 | 10 | |||
3 | 5 | . | 0 | 0 | 0 | |
- | 4 | . | 0 | 1 | 6 | |
3 | 0 | . | 9 | 8 | 4 |
The solution is: 30.984
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