escribe 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)

1 answer

The relationship between rational numbers and whole numbers is that every whole number is also a rational number, but not every rational number is a whole number.

A rational number is defined as a number that can be expressed as the quotient (or fraction) of two integers, where the denominator is not zero. Whole numbers, on the other hand, are a subset of rational numbers that include all positive integers (including zero).

Examples:
1. Every whole number is a rational number. For instance, the whole number 5 can be expressed as the fraction 5/1, where 5 is the numerator and 1 is the denominator.
2. However, not all rational numbers are whole numbers. For instance, the fraction 3/2 is a rational number, but it is not a whole number since it is not an integer.

In conclusion, while all whole numbers are rational numbers, not all rational numbers are whole numbers.