Question

Which of these non-terminating decimals can be converted into a ratinaol number

A. O.8743874374387438743....

B. O.0000100020003....

C. 5891420975....

D. 10.07401259....



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Answer 1

A. O.8743874374387438743....

Step by step explanation

Let's take a = O.8743874374387438743....

10a = 8.743874374387438743....

Similiarly,

10000a = 8743.874374387438743....

Since four decimal places are repeating.

Now subtract a from 10000a

10000 a - a = 8743.874374387438743.... - O.8743874374387438743....

9999 a = 8743

a = 8743/9999

8743/9999 = O.8743874374387438743....

That's it.

Hope you will understand the concept.

Thank you.