Question

Are all non-terminating recurring numbers rational numbers?

Answer 1

Yes all non terminating recurring numbers are rational numbers as we can write those numbers in the form of p/q.

Answer 2

yes all non terminating recurring numbers are rational numbers.
rationals numbers in decimal form are of 2 types 1)recurring for eg. 10/3 =3.3333 and 2)terminating 11/4 =2.75
non terminating numbers are like pi I. e 22/7 = 3.142..... now to make any non terminating number non terminating recurring just put a 0 bar at the end. it ultimately becomes recurring.