Look at several examples of rational numbers in the form `p/q(q!=0)`, where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?

Explanation

To determine the property that \( q \) must satisfy for the rational number \( \frac{p}{q} \) to have a terminating decimal representation, we can follow these steps:

### Step 1: Understand the definition of terminating decimals
A rational number has a terminating decimal representation if it can be expressed in the form \( \frac{p}{q} \) where \( q \) can be expressed as \( 2^m \times 5^n \) for non-negative integers \( m \) and \( n \).

### Step 2: Analyze examples of rational numbers
Let's take several examples of rational numbers with terminating decimals:
1. \( \frac{1}{2} = 0.5 \)
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