Tuesday, January 8, 2013

Dividing decimals

Decimal numbers is one of the types in our number system. When a number is not a whole number, we express the number as a sum of whole number part and the fraction part. In the fractional form we use the fractions for the fraction part. But for easier working, the fraction is converted to the parts of powers of 10 and such parts are described along with the number with a dot ‘·’ separating them. This dot is called as the decimal points.

Like in all other cases, decimals are also subject to all basic algebraic operations. One of the operations is dividing decimals by whole numbers or dividing decimals by decimals. The rules for dividing decimals are very simple to follow. Let us start first discussing how to divide decimals by whole numbers.

The division of decimals by whole numbers is almost same as we divide whole numbers by whole numbers. But do not forget to place the decimal point in the quotient as soon as you finish the division with whole number part. That is, at this point place the decimal point and carry forward the division as before. For example, while dividing 16.535 by 5, the division of whole number part is complete when 16 is divided by 5. The quotient at this stage is 3 and the remainder 1 is carried forward to group with the digit 5 after the decimal point. Therefore the quotient 3 now should be followed by the decimal point and only after that you can enter the next quotient

Now let us concentrate on how to divide decimals by decimals. The simplest dividing decimals practice here is convert the decimal numbers of both the dividend and divisor to whole numbers by suitable powers of 10. If required use 0s as space holders. But due care must be taken to place the decimal point after dividing the last digit/digits and if the division is not complete. For example, (7.236)/(4.02) can be tried as (7236)/(4020) = 1.8

We need to face dividing decimal numbers in our daily life. Most of the prices are not whole numbers and are expressed as decimal number of dollars in our currency. To counter such situations, one can practice a few examples of dividing decimals word problems. For example, the price of a pack of 5 pairs of socks is labeled as $4.5. If you want to know what is the cost of one pair of socks, you must be familiar with the division that (4.5)/(5) = (45/5) = (90/10) = 0.9. Thus one costs $0.90.

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