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. (4 points)

Answer 1

The relationship between rational numbers and whole numbers is that whole numbers are a subset of rational numbers. Therefore, not all rational numbers are whole numbers, but all whole numbers are rational numbers.

A rational number is a number that can be expressed as the ratio of two integers. This means that it can be written in the form p/q, where p and q are integers and q is not equal to zero. Whole numbers, on the other hand, are non-negative integers including zero.

Examples:

- The number 3 is a whole number because it is a non-negative integer. It can also be expressed as the rational number 3/1, where both the numerator and denominator are integers.

- The number 1/2 is a rational number because it can be expressed as the ratio of two integers (1 and 2). However, it is not a whole number because it is not an integer.

- The number 0 is both a whole number and a rational number. It can be expressed as the rational number 0/1, where 0 is the numerator and 1 is the denominator.