Represented, already, as a fraction of two integers, but I don't think I can So, 0.25 is a rational number, but it's not an integerĪnd not a whole number. But there's no way to represent this except using a fraction of two integers. So, we can represent that as a fraction of two integers, I should say. To be a rational number, but it's not a whole numberīecause it is negative. It's an integer, and if you're an integer, you're definitely going Now, negative five, onceĪgain, it can be represented as a fraction, but it doesn't have to be, but it is negative. Number, it's an integer, and it's a rational number. You're also an integer, and you're also a rational number. It, literally, could be justĪ three, right over there, but it's also non-negative. Where would you put them on this diagram? So, let's start off with three. See if you can figure out what category these numbers fall into. These categories in place, let's categorize them. The rational numbers." All right, now that we have Just think about the rational." I'd say, "Let's think about "Let's think about the integers." But I wouldn't say, "Let's So, these are going toīe the whole numbers. So let me do that subset, right over here. The non-negative integers, you're then talking about whole numbers. So, integers are numbers that don't have to be represented as aįraction or a decimal. So, I'll do that in, let meĭo that in this blue color. And then, within rational numbers, you have integers themselves. Represented as a fraction of two integers. Infinite number of rational and an infinite number And the size of these circles don't show how large these sets are. Represented as a fraction of two integers, weĬall irrational numbers. Represented as a fraction of two integers, we call So, let's call these, or the standard way of calling these things. So this circle, over here, this represents all of the numbers that can be represented as the fraction of two integers, and, ofĬourse, the denominator can't be equal to zero,īecause we don't know what it means to put a Of number categories, and let me draw the categories. Is to see if we can classify them into different types Bunch of numbers listed up here, and my goal, in this video,
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