Decimals which repeats(Recurring Decimals)

So, what is the big deal is recurring decimals?



We know that decimal numbers which repeat themselves such as these numbers:

1.111...1.... ; 0.222...2.... ; 3.1212...12.... ; 0.3854312854312...854312.... ; etc

are known as RECURRING DECIMALS.


Instead of rounding off, we can write them in a simpler form by putting "dots" on top of the digits which repeat themselves. So the above decimal numbers would be represented by

1.. ; 0.. ; 3. . . ; 0.3 . 5431.
1.1 ; 0.2 ; 3.12 ; 0.3854312
(note that for the decimal:0.3854312, only the digits: 8 and 2 are "dotted". These dots would have encompassed all the repeating digits within them.)



So, are these all there is to know about Recurring Decimals?

Consider the following questions:

1. Which one of the following numbers is bigger?
111111111.
(a) 1 or 0.9



2. Is the decimal number 0.000000...0....0.....0......1(with the number of "0" tending to infinity) bigger than 0?

Post your answer on the survey on the right.

Let me know the reasons for your answers!!!