Every integer is a rational number. Is that true, or is that false In order? Taste this question. We're gonna make a graphic. That's help us gonna group all the different kinds of real numbers and we're gonna put them into each category and specifically, we're gonna look at imagers and rational numbers and see how they're related. So we're making this graphic. We're going to start with the smallest group of numbers, and then we're just gonna get larger and larger until we've covered all the different numbers in our number system. I'm gonna go down here, so I have a little bit more room. The's smallest group of numbers are what we call natural numbers. The's air also sometimes refer to as counting numbers. And so think about when you start counting something, you start with one and then you go to 34 and then you keep counting until you've kind of everything. Natural numbers begin with the number one and go all the way to positive infinity and said natural numbers are kind of in their own group right here. One step above natural members are what we call whole numbers. Whole numbers include natural numbers As you can see, we're gonna put a little box around them, but see how there's some space outside of natural numbers. It's because there is no there are numbers that are whole numbers, but not natural numbers. Actually, there's only one, and that is the number Syria. But because whole numbers are also also natural numbers, we have zero one to three on and on and on. So as you can see some natural numbers, our whole number, we'll all national numbers are whole numbers. But there is one whole number in this case, zero. That is not a natural. Now I know you know there are more numbers than just positives, so the next step would be what we call in two years. Integers include whole numbers, natural numbers, and they also include negative numbers. As you can see, there's some extra space here that doesn't involve whole or natural numbers. So imagers start at negative infinity and they go on until we get to negative three. Negative two made 101 and then we keep going on and on. So let's review every natural number is a whole never Okay, he belongs in this category, but Once we go outside, we see that there's some space that doesn't include natural numbers such as zero. That's right. Zero What belong So zero is a whole number, but not in Africa. We keep going up when we get to integers. Notice how integers include negative numbers. So starting, like right here is what's we've added these air kind of what would exist outside of these shared groups. But then we go back to whole numbers and then also natural numbers. We can keep going. Rational numbers Is the next step rational numbers. Rational numbers are basically all the numbers in between the numbers you see on a number line. So if you think about a number line we're used to here's my zero one to negative one native to you. And then each arrow goes and goes and goes. Rational numbers are all the numbers that really fall in between right here. So definition of a rational number is any member that could be represented a fraction. So rational numbers off course include fractions, both positive and negatives. So, for example, have 1/2 negative three force. They can also be mixed fractions one and 6/7 rational numbers also include decimals. But these decimals have to be repeating, meaning there's some sort of pattern or they just have to end. So an example would be 4.2 or maybe something like 3.7 repeating. And then one more example. Rational number would be something like this Larry before, because one once we sim simplify that scared of forest, too, and too is just a fraction because it's to over one. Now there's one more other category. Do this and outside. Um, rational numbers is you irrational numbers. Irrational numbers are basically not the pretty ones. They're decimals that don't ever end that go on and on and also do not have any sort of pattern. An example of that would be pai. We know that pie stands for decimal that never ends and never repeats. There's no pattern. An example of one of those would be, And I'm just gonna make this up. 7.2963 dot dot, dot, dot dot. As you can see, we can't guess what comes next. So this is an example of an irrational number. Another one would be square root of seven because the square to 77 is not a perfect square. So seven is not scared of seven is irrational. So after all this, what? What all these categories mean? What does this group mean? I'm gonna race this. I have a little bit more room. What All this means is all of this right here. Rational editors. Whole numbers. Natural numbers in the Russian members are all part of what we call riel numbers. Okay, So anything that's a real number is going to be in this category and all of these cover all of the numbers out. Lena. So let's go back up to her question. Every integer is a rational number. Is that true, or is that false? So for looking at our imager category, who is he underneath? He is underneath the rational numbers. That means every single imager belongs in the rational number. So every integer is a rational number. That's true.