Decimal division
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To divide a number by a decimal, we can multiply both the dividend and divisor by powers of 10 to clear the decimal. This is done by moving the decimal point to the right in both numbers the same number of places. Doing so does not change the value of the division. The document provides an example of dividing 37.5 by 1.25 by first multiplying both numbers by 10 and 100 to convert it to a division with whole number values.
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Decimal division
- 1. Dividing by a Decimal Number
- 2. 37.5 ÷ 1.25 3 7 51 2 5 BUT… the regular division procedure does not work comfortably with decimal divisors… what can we do ?
- 3. 37.5 ÷ 1.25 3 7 51 2 5 will give the same answer as 375 ÷ 12.5 ...since we multiplied BOTH Dividend and Divisor by 10. …and we can do this multiplication by moving the decimal point one place to the right !
- 4. and 375 ÷ 12.5 3 7 51 2 5 0 will give the same answer as 3750 ÷ 125 …since we multiplied BOTH Dividend and Divisor by 10 again. …and we can do this multiplication by moving the decimal point one more place to the right ! and annexing a zero in the ones place.
- 5. and 3750 ÷ 125 we can solve in the usual way 3 7 51 2 5 0 3 - 3 7 5 0 0
- 6. and 3750 ÷ 125 we can solve in the usual way 3 7 51 2 5 0 3 - 3 7 5 0 0