The relationship between rational numbers and whole numbers is that every whole number can be considered a rational number, but not every rational number can be considered a whole number.
A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers (whole numbers) and the denominator is not zero. The set of rational numbers includes whole numbers, integers, fractions, and decimals that terminate or repeat.
On the other hand, whole numbers are non-negative integers, including zero. They do not include numbers with decimal parts or fractions.
Therefore, all whole numbers can be considered rational numbers because they can be expressed as fractions with a denominator of 1. For example, the whole number 5 can be expressed as the fraction 5/1.
However, not all rational numbers are whole numbers. For instance, the rational number 3/2 is not a whole number because it is a fraction with a numerator that is greater than the denominator. Similarly, 0.25 is a rational number but not a whole number as it has a decimal part.
In summary, all whole numbers can be considered rational numbers, but not all rational numbers can be considered whole numbers.
Describe the relationship between rational numbers and whole numbers. Are all rational number also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.
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