Question

Is 53.14 repeating an irrational number?

Answer 1

`53.14` repeating is not an irrational number. It is a rational number `5361/99=53 14/99`

Explanation:

It appears that by the words "Is `53.14` repeating an irrational number?, what is meant is about the number `53.141414....`, where digits `14` are repeated endlessly i.e. till infinity.

In fact any number, where some digits after decimal point are repeated endlessly i.e. till infinity, is not an irrational number and can be converted into a fraction.

For example let `x=53.14141414........` then

`100x=5314.14141414....................` and subtracting former from latter, we get

`99x=5314-53=5261` ot

`x=5361/99`