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Rational Numbers Any number that can be written as a fraction with integers is called a rational number. A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator the number on top and the denominator the number on the bottom are whole numbers. Every whole number is a rational number, because any whole number can be written as a fraction. All numbers that are not rational are considered irrational.
An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. Its decimal form does not stop and does not repeat. If the decimal form of a number.
Identify each of the following as rational or irrational: 1. Solution: 1. Therefore, [latex]0. There is no repeating pattern of digits. Square roots of perfect squares are always whole numbers, so they are rational. But the decimal forms of square roots of numbers that are not perfect squares never stop and never repeat, so these square roots are irrational. In the following video we show more examples of how to determine whether a number is irrational or rational.
Skip to main content. Module 8: Real Numbers. Search for:. Identifying Rational and Irrational Numbers Learning Outcomes Identify rational numbers from a list of numbers Identify irrational numbers from a list of numbers. Irrational Number An irrational number is a number that cannot be written as the ratio of two integers. Licenses and Attributions. CC licensed content, Original.
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