Problem 40 - College Algebra

Question

Give an example of a rational number that is not an integer.

Step-by-Step Solution

Answer

One example of a rational number that is not an integer is 1/2.

Step 1: Understand integers and rational numbers

An integer is a whole number that can be positive, negative, or zero. Examples of integers are -2, -1, 0, 1, 2, etc. A rational number is a number that can be expressed as a fraction a/b where a and b are integers and b ≠ 0.

Step 2: Find a rational number

Find a rational number i.e., a number that can be represented as a fraction. This fraction should not be equivalent to an integer. An easy way to do this is to choose a fraction where the numerator is less than the denominator.

Step 3: Validate the rational number

Verify that the chosen rational number isn't equivalent to an integer. For instance, 1/2 is not equivalent to any integer, so it meets the criteria.