Question

Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer. Write in the least amount of sentences as possible.

Answer 1

Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero, while whole numbers are non-negative integers (0, 1, 2, ...). Not all rational numbers are whole numbers; for example, \(\frac{1}{2}\) and \(-3\) are rational but not whole. However, all whole numbers are rational because they can be expressed as a fraction with a denominator of 1 (e.g., \(3\) can be written as \(\frac{3}{1}\)).