Question

find the decimal expansion of a number and state whether terminating or non-terminating. 7/11​

Answer 1

Step-by-step explanation:

So, the question is that I have to divide 7 by 11 and tell whether it is terminating or non- terminating.

So, After dividing 7/11

11 ) 70 ( .636

66

~

40

33

~

70

66

~

4

So as we know that after decimal maximum 3 digits should be there and I have done the same.

And you can see also that same no. are repeating.

0.63 is coming in which 6 and 3 both are repeating so we can put a bar or recurr on 63 means if anyone will see he/she will understand that 6 and 3 both are repeating. So this 7/11 is non-terminating and recurring.

Hence, 7/11 is a rational number.

Hope so you will understood!

I am happy to help you and if you will find any mistake please comment.