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 will prove sherry's claim is false ?
1. 3
2. 5
3. 7
4. 11
5. 25

Answer 1

5. 25. Sherry's claim about the expression 1/x being equivalent to a repeating decimal whenever x is an odd number greater than 1 is false, and the value 25 proves it.

Step-by-step explanation:

The correct answer is option 5. 25.

Sherry's claim is that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1. To prove her claim false, we need to find a value of x for which the expression 1/x is not a repeating decimal.

We can start by testing each of the given options:

1. For x = 3, 1/3 is equivalent to the repeating decimal 0.3333...
2. For x = 5, 1/5 is equivalent to the repeating decimal 0.2
3. For x = 7, 1/7 is equivalent to the repeating decimal 0.142857...
4. For x = 11, 1/11 is equivalent to the repeating decimal 0.09
5. For x = 25, 1/25 is equivalent to the non-repeating decimal 0.04

Out of the given options, 5. 25 is the value that proves Sherry's claim false, as 1/25 is not a repeating decimal.