Is 30.21685 rational

Answer 1

A number with finite decimal part is known as terminating decimal.

Converting a terminating decimal number to a rational number:

30.21685 = 30.21685/1

Multiplying denominator and numerator by 100000, we get

30.21685 = 3021685/100000 which is of the form p/q(where p and q are integers and q is not equal to 0) - so 30.21685 is a rational number.

So, a decimal number if it is terminating or non-terminating repeating then it can be represented as a rational number.