Is 0.363636... a repeating decimal?
3 Answers
Yes,
In a decimal. none, some or all of the digits can recur.
Explanation:
The fraction is
The fraction is
All of these decimals are rational numbers, they can all be written as fractions.
Some decimals continue to infinity without recurring. They cannot be written as fractions and are irrational numbers.
In this case
It can be written as
A useful short cut to find the fraction is:
If all the digits recur, write a fraction as:
Explanation:
One further note on this question - we can find the fraction that is associated with
If we set
and so