Negative Numbers in Excel

[One speaker]

[Screen shows the question, “Which of the following numbers are real numbers? (Indicate all that apply.) Below it are six options.]

Speaker: Which of the following are real numbers? Indicate all that apply. So just like the previous two problems, we’re gonna go through that list and decide if those are real numbers or not.  And we can recall from the video that our real numbers include our whole numbers, and our integers, and everything in between [speaker writes “Whole #’s, Integers” on screen]. So if we pull up a number line [a number line ranging from negative five to positive five is added on screen], we can see that we have our whole numbers going off to the right here, and our integers are going to be those whole numbers plus all the negative numbers going off to the left there. And our real numbers are going to include both of those whole numbers, integers, as well as everything in between. So between zero and one are real numbers [mouse points between zero and one on number line], between one and two are real numbers [mouse points between one and two on number line], etc.

We could keep going in that direction, but also to the left here, between zero and negative one [The mouse points between zero and negative one on the number line.], those are real numbers, between negative one and negative two and so forth, okay? So we can start to look at this list and decide if those are real numbers or not. So starting with A, negative two, we know negative two is going to be a real number because it is also an integer, and integers are included. B, we can look at negative one point five seven, we come down here on the number line, we know that negative one point five seven is going to fall between negative one and negative two [mouse is pointed between negative one and negative two on the number line], and so everything in between is a real number, and then looking at C, we know zero is a real number [mouse circles zero] because it is a whole number and whole numbers are included with real numbers. D, one is also a real number.

[The mouse points to one on the number line.] 

E, five is also a real number, we can see it there [mouse circles five on the number line]. And then F, nine point nine nine nine nine, if we were to continue our number line out this direction [mouse indicates beyond the positive side of the number line], we would find nine and ten on our number line and know that nine point nine nine nine nine will end up being between nine and ten, and so that is also going to be a real number. So to answer this question, all of these are included as real numbers [All of the answers are circled].

[End of Video.]