which of these non-terminating decimals can be converted into a ratinaol number A. O.8743874374387438743-<

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….

!!!!!!!!! I KNOW IT IS LONG SO I WILL MARK BRALIEST ANSWER QUICK PLZZZ!!!!!!!!!!

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Answers ( No )

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    2021-09-14T22:41:09+00:00

    Answer

    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.

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