Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as . A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form
, where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers <em>cannot</em> be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither <em><u>terminating</u></em>, nor <em><u>repeating</u></em>. A couple examples of irrational numbers are: π and , as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. <u>Real numbers</u> comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.