Question

Let x = 7/22?53 be a rational number then x has decimal expansion which terminates:

Answer 1

x=7/22×53=371/22=16.8636363636.....
The decimal expansion for this number is non-terminating and repititive.

Answer 2

Given: x = (7/22) * 53

To find: decimal expansion which terminates ?

Solution:

• Non-terminating and repeating: non-terminating and repeating is an expansion in which a decimal number continues infinitely with repeated pattern.  

• First, we need to calculate the final product of the given numeric, so calculating that, we get:

           x=(7/22)×53

           =371/22

          =16.8636363636.....

• After taking a look at the product, we find that the expansion is non-terminating and repeating.

Answer:

                The expansion of x = (7/22) * 53 is non-terminating and repeating.