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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
