Rational Numbers And Irrational Numbers Examples. Rational numbers irrational numbers worksheet. The ancient greek mathematician pythagoras believed that all numbers were rational, but one of his students hippasus proved (using geometry, it is thought) that you could not write the square root of 2 as a fraction, and so it was irrational.
Numbers which cannot be expressed as p/q is known as irrational number. See more ideas about irrational numbers, numbers, rational numbers. Irrational numbers are numbers that can’t be expressed as simple fractions.
The venn diagram below shows examples of all the different types of rational, irrational numbers including integers, whole numbers, repeating decimals and more.
0.25 can also be written as 1/4, or 25/100 and all terminating decimals are rational numbers. Irrational numbers are part of the set of real numbers that is not rational, i.e. 0.5 can be written as ½ or 5/10, and any terminating decimal is a rational number. Irrational numbers are numbers that can’t be expressed as simple fractions.