When doing this, remember the sign that the term carries. Knowing what was just covered, let's rearrange the terms so that all terms with identical variables are next to each other. In short, the variables following the coefficients need to be identical in order to combine them. In addition to multiplying by x, you are also multiplying by y. Even though both terms share an x, an xy is not the same as an x. That means we could combine an x with a 3x, because x is the variable in both of those terms, but we cannot combine a 4x with a 2xy. We can only combine terms that have the same variable. Before we do anything to combine these terms, we need to remember the rules for what terms to combine. So, as an example, 3x, 7y, 9z^2, and 4f are all terms. Remember that a term is any coefficient and any variable. If I don't cover what you are confused on, though, just tell me and I can explain that. The least is negative 3.25, Then negative 12/4, then negative 5/2, then negative two, then zero, then 7/3, and we are done.I'm unsure what exactly you are confused about, so I will try to explain the entire concept as thoroughly as possible. So we wanted the numbers ordered from least to greatest, So let's see, let's go negative one, negative two, negative three, and then we have to go a fourth, and we're not going to be able to do it super precisely, but it's going to be less than 1/3, so it's going to be right over there. This is the same thing, negative 3.25 is the same thing as negative three and 25/100 and 25/100 is the same thing as 1/4. And then finally, one more number, negative 3.25. This is one, two, and three, or negative three. These first two numbers, you could say negative 12/4 is the same thing as the negative of 12/4 which is 4/4 plus another 4/4 so that gets us to 8/4 plus another 4/4 that's 12/4. So this is negative 12/4 or if you want to use the type of logic that we used in Then we have negative 12/4 so it might jump out at you immediately, 12 divided by four is three, so this is going to be the Two, two steps, two whole numbers to the left of zero. Negative two, once again, on our number line for us. Let's see, negative one, negative two, and the negative two and 1/2 is going to be halfway between negative two, and negative three, so it's going to be right over there. So this is going to be one, plus one, plus 1/2, two and 1/2, we have our negative out there, so it's negative two and 1/2. Negative five over two, well that's the same thing as the negative of 5/2, and 5/2 is going to be 2/2 plus another 2/2, plus 1/2 so this is two and 1/2, this is one, this is one, and that's 1/2. Then we have negative 5/2, so same logic. So seven thirds, same thing as one, two, and you see, between consecutive integers, we have three spaces, so we are essentially marking off thirds, so two and 1/3, is going to be 1/3 of the way between two and three, so it's going to be right over there, so that is 7/3. So this is 3/3 is one whole, three thirds is one whole, so this is two and 1/3. So this is going to be 3/3, plus another 3/3, is going to get us to 6/3. So 7/3, how many wholes are here? And the whole is going to be 3/3. So let's see if we can express that in a different way, if we can write that as a mixed number. Let's plot these numbers on a number line, and I have a number line up here, so there you go, there is a handy number line. So assuming you've had a go at it, so let's do it together, and to help us there, And I encourage you to pause this video, and see if you can do it on your own, before we work through it together. On the left hand side, and the greatest on the right. What I'd like to do in this video is order these six numbers from least to greatest.
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