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. You must write this in 7 sentences or less.
All whole numbers are rational numbers, but not all rational numbers are whole numbers. Whole numbers are a subset of rational numbers. Whole numbers can be expressed as the quotient of two integers where the denominator is 1. For example, 10, 2, and 0 are all whole numbers and rational numbers. However, rational numbers include other numbers that can be expressed as a quotient of two integers, even if the denominator is not 1. For instance, ½ and 0.25 are rational numbers but not whole numbers. In conclusion, all whole numbers are rational numbers, but not all rational numbers are whole numbers.
Not all rational numbers are whole numbers, but all whole numbers are rational numbers. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. Whole numbers are the set of positive integers including zero. For example, 3 is a whole number and it can be written as the rational number 3/1. However, the rational number 1/2 is not a whole number. Therefore, while all whole numbers can be expressed as rational numbers, not all rational numbers can be considered whole numbers.
