Question

Identify –0.666666 . . . as rational or irrational.

Answer 1

It is rational as it can be expressed as a ratio (a fraction).-0.666... can be expressed as (-2/3)

Answer 2

The given number is a rational number.

Explanation:

We know that a rational number is a number than can be expressed in the terms of p/q were p is an integer and q are rational numbers.

Now, we know that if a decimal expansion is non-terminating ( that is it does not end) and is repeating ( i.e. the terms after decimal repeats ) than it can also be expressed in terms of p/q.

Hence, the given number :

-0.6666666....

( Clearly it is a rational number as the expression is a decimal number which is non-terminating and is repeating and can be expressed in terms of p/q as -2/3 )