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