Decimal

Decimal

Decimal

Fractions having denominators 10, 100, 1000, etc. are called decimal fractions or Decimals. For example: 9/10 , 68/100 , 565/1000 are decimal fractions but they are written as 0.9, 0.68 and 0.565 respectively using a dot (.) called decimal point.

Consider a number 65423.9871. We can put this number in a place value chart. The place value chart consists two parts as whole number part and the decimal number part. The place value chart is given here below.

Place Value Chart:

Place Value Chart

To separate whole numbers from fractional numbers a small dot (.) called decimal point is put between ones and tenths place as shown the number 65423.9871 above.

Fraction and Decimal

There is a close relation between fraction and decimal. Fraction and decimal can be interchanged each other. For example: Easy way to change fraction into decimal is given in the table below:

Fraction to Decimal

So, let’s make the denominator 10, 100, 1000, 10000 and so on by multiplying numerator and denominator by the same number. Then count the number of zeros in denominator to count the place to keep decimal in numerator in the direction right to left.


Workout Examples


Example 1: Change 3/5 into Decimal



Example 2: Change 0.123 into fraction.

Solution: Here, in 0.123, we have 3 digits after decimal. So, we put 1 and three zeros in denominator then remove decimal point 123 in numerator.          
Example 2: Change 0.123 into fraction


You can comment your questions or problems regarding decimal and fractions here.

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