# CLASS-8DECIMAL NUMBER

DECIMAL NUMBER

A fraction with some power of 10 as the denominator is called a decimal fractions.

3        25           475                                      3

------, ------ and ------- are some decimal fractions, -------

10       100         1000                                     10

can be written as .3 or 0.3 or 0.30

We should call 0.3 a Decimal or Decimal number.

25

Similarly, ------- can be written like .25 or 0.25 or 0.250

100

475

Similarly, ------- can be written as .475 or 0.475 or 0.4750

1000

or 0.47500

For writing decimals, the positional system of writing numbers can be extended beyond the unit place, to include places for tenths, hundredths, thousandths, ten thousandths, etc.

As we all know from our previous lesson, if we consider the decimal number 24513.2345 would be expanded as –

2 X 10,000 + 4 X 1000 + 5 X 100 + 1 X 10 + 3 X 1 + 2 X

1                 1                 1                  1

-------- + 3 X -------- + 4 X -------- + 5 X --------

10               100              1000             10,000

We should read  24513.2345 like “Twenty Four Thousand Five Hundreds Thirteen POINT Two Three Four Five” where 24513 is called its Integral Part and .2345 is called its Decimal Part.