is 0.404040... rational or irrational

Mathematics · Middle School · Tue Nov 03 2020

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0.404040 is rational number since it is the quotient of two numbers or the ratio between two numbers. The given number 0.404040 is an repeating decimal, whereas it can be categorized by putting a dash or a parenthesis enclosed with the word repeating in order to show that it is a repeating decimal. 

Irrational numbers are numbers that cannot be expressed as a ratio between two numbers, and are often used for complex operations. Examples of irrational numbers are pi, and the golden ratio.