Question

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

Answer 1

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Complete Question

Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1.

Which of these values of x will prove Sherry's claim is false?

Answer:

When x = 5

Step-by-step explanation:

Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1.

Examples of odd numbers greater than 1 : 3, 5, 7, 9, 11 ....

We would put these odd numbers to test

a) When x = 3

= 1/3 = 0.3333333333

b) When x = 5

= 1/5 = 0.2

c) When x = 7

= 1/7 = 0.142857142

d) When x = 9

= 1/9 = 0.1111111111

e) When x = 11

= 1/11 = 0.0909090909

From the above calculation, we can see that the only odd number greater than 1 that will prove Sherry's theory wrong is when x = 5

Therefore, the value of x that will prove Sherry's claim is false is when x = 5