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- [Voiceover] So we have a bunch of numbers listed up here, and my goal, in this video, is to see if we can classify them into different types of number categories, and let me draw the categories. So this circle, over here, this represents all of the numbers that can be represented as the fraction of two integers, and, of course, the denominator cant be equal to zero, because we dont know what it means to put a zero in the denominator. So, lets call these, or the standard way of calling these things. These things can be represented as a fraction of two integers, we call these rational numbers. Rational numbers. And if something cannot be represented as a fraction of two integers, we call irrational numbers. Irrational numbers. Irrational numbers. And the size of these circles dont show how large these sets are. Theres actually an infinite number of rational and an infinite number of irrational numbers. So, these are the irrational numbers. Irrational. So, these cannot be represen