Sherry claims that the expression 1/x will always be equivalent to a repreating decimal whenever x is an odd number greater than 1. Which of these values of x will prove Sherry's claim is false?

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Answer:

Step-by-step explanation:

Sherry's claim is wrong because the expression 1/x will not always be equal to a repeating decimal whenever x is an odd number greater than 1.

Although some but not all of the odd numbers when substituted into the function 1/x will give a repeating decimal. For example, substituting 3 into the function 1/x wil be 1/3 which will result in 0.333333333(a repeating decimal.

Same goes with 7. 1/7 = 0.142857142857142 (a repeated decimal)

Even odd number 9 will result into ,1/9 = 0.11111111111(a repeated number).

An exception if an odd number if 5 is used. The reciprocal of 5 will not result in a repeated decimal.

1/5 = 0.2

0.2 is not a repeated decimal. This result falsify Sherry's claim that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1.

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