Problem 42 - Algebra and Trigonometry

Question

Give an example of a number that is a rational number, an integer, and a real number.

Step-by-Step Solution

Answer

An example of a number that is rational, an integer, and a real number is 2 or -3 or 0.

Step 1: Identify a Rational Number

A rational number is any number that can be expressed as the quotient or fraction \( \frac{a}{b} \) of two integers, with the denominator \( b \) not equal to zero. Examples are \( \frac{1}{2} , 2, -3, 0 \) and so on.

Step 2: Identify an Integer

Out of mentioned examples, identify integers. Integers are a subset of rational numbers. They can be positive, negative or zero but don’t have any fractional or decimal component. So, in our examples, \( 2, -3, 0 \) are integers.

Step 3: Identify a Real Number

Real numbers include all rational numbers, both integers and fractions, as well as all irrational numbers. Numbers which we previously identified as both rational and integers \( 2, -3, 0 \) are also real numbers.