Question

Problem: Let v t ˜ i tell you these facts about a mystery number, c: bullet 1.5 < c < 2 bullet c can be written as a fraction with one digit for the numerator and one digit for the denominator. bullet both c and 1/c can be written as finite (non-repeating) decimals. What is this mystery number?

Answer 1

The mystery number, c, based on the given conditions, can only be 1.6.

Step-by-step explanation:

The mystery number, c, must satisfy the following conditions:

1. 1.5 < c < 2
2. c can be written as a fraction with one digit for the numerator and one digit for the denominator
3. both c and 1/c can be written as finite (non-repeating) decimals.

Based on these conditions, the mystery number can only be 1.6.