Question

Look at examples of rational numbers in the form p/q, where q is not equal to 0. Where p and q are integers with no common factor other than 1 and having terminating decimal representation (expansion). Can you guess what property q must satisfy?

Answer 1

The property that q must satisfy is that it should be a prime number. A rational number is a number that can be expressed as a fraction p/q, where p and q are integers with no common factor other than 1.

Step-by-step explanation:

The property that q must satisfy is that it should be a prime number.

A rational number is a number that can be expressed as a fraction p/q, where p and q are integers with no common factor other than 1. In order for the decimal representation of the fraction to terminate, the denominator q must have prime factors only.

For example, the fraction 3/5 is a rational number with a terminating decimal representation. Since the denominator 5 only has the prime factor 5, it satisfies the property.