non-terminating decimal numbers with infinitely repeating patternsĪny integer can be converted cleanly into a fraction, and is a rational number.įor example, 3 can be expressed as 3/1.There are four types of rational numbers: Though you learned what rational numbers are earlier in the article, it's helpful to break them up into broad categories, and look at different examples. And if a number can't be expressed this way, then it's an irrational number. So if a number can be expressed cleanly as a fraction, or a ratio between two integers, then it's a rational number. Some examples of rational numbers include:Īccording to Wikipedia, the term ratio "is derived from rational". Rational NumbersĪgain, a rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers, and the denominator is not 0: Source: Rational Numbers Integers are exactly like whole numbers, but can also include negative numbers. They do not include decimals or fractions, and since they start from 0 and go up, all whole numbers are positive. Note that whole numbers are just that – whole. Whole NumbersĪ whole number is any number from 0 up to infinity: 0, 1, 2, 3, 4, 5. What Are Whole Numbers and Integers?īefore getting into integers, it would be helpful to review what whole numbers are. ![]() In this article, we'll go over what whole numbers and integers are, cover different types of rational numbers, and learn how to determine if a number is rational or not. ![]() In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0. ![]() A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.
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