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.
Whole numbers include all positive integers (numbers greater than zero) and zero itself. Rational numbers, on the other hand, include all numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero.
Since whole numbers can be expressed as a fraction with a denominator of 1, they can also be considered rational numbers. For example, the whole number 5 can be expressed as the fraction 5/1, making it a rational number.
However, not all rational numbers are whole numbers. For example, the fraction 4/3 is a rational number but not a whole number. This is because the numerator (4) and the denominator (3) are both integers, but the fraction is not equal to a whole number.
In summary, every whole number is a rational number, but not every rational number is a whole number. Whole numbers are a subset of rational numbers, and they can be expressed as a fraction with a denominator of 1.
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)
1 answer