# How to add

### How to add decimals

So plus two, that's what I did right over here to get to 70, and then if I wanna add five then I have to add three more. Well if I break up the five into three plus two, and the whole reason why I broke it up into three and two is so I have this two here to add to So five is three plus two, and to that I'm going to add 68, And so it's going to be 70 plus three. Let's draw a number line and let me draw some let me draw some tick marks here. So it's going to be We're gonna add five. Example 3: Although the variables are the same x , the powers are not the same 1, 2, 3, and 4. So let's say I wanna add five to This is a common practice to make answers easy to compare. Another way you could think about it is on a number line.

So plus two, that's what I did right over here to get to 70, and then if I wanna add five then I have to add three more. In your head you'd say okay five plus 68, let's see if I add two to 68 I'll get to 70 and so let's see, five is three plus two, I add the two to 68, I get to 70, and I have three left over.

## How to add t

Now it might seem like this really long way of doing it, but this is just a way to think about it. Another way you could think about it is on a number line. When adding or subtracting with powers, the terms that combine always have exactly the same variables with exactly the same powers. So if you add five you say well let me add two first. So what's that going to get me? This is a common practice to make answers easy to compare. And so it's going to be 70 plus three. Example 2: Because the variables are the same x and the powers are the same 2 , you can perform the required operations on the variables. Well when I look at a number like 68 I think well gee, If I added just two to that I would get to And we've already seen other ways of doing it, so what I'm showing in this video isn't the only way to do it but it might be helpful when you're doing it in your head.

These rules are true for multiplying and dividing exponents as well. So let's say I wanna add five to Example 3: Although the variables are the same xthe powers are not the same 1, 2, 3, and 4. And once again the reason why I took this two out is because I said hey, what do I have to add to 68 to get to 70?

How to Add and Subtract with Powers How to Add and Subtract with Powers To add or subtract with powers, both the variables and the exponents of the variables must be the same.

## How to add numbers

So it's going to be And so it's going to be 70 plus three. Now it might seem like this really long way of doing it, but this is just a way to think about it. Example 4: Sometimes not all of the variables and powers will be the same — you may encounter a problem that has several groups of variables and powers that are not the same. So now I could just rewrite this as, Three plus two plus 68, In this case, you only add or subtract terms whose variables and powers are the same. So what's that going to get me? Regrouping while adding Addition within Composing tens Video transcript - [Voiceover] What I wanna show you now is a way to add numbers, or a way that I sometimes add numbers, when I'm doing it in my head. So let's say I wanna add five to So plus two, that's what I did right over here to get to 70, and then if I wanna add five then I have to add three more.

Well when I look at a number like 68 I think well gee, If I added just two to that I would get to Then I have to add three more.

Hopefully you found that interesting. We're gonna add five. So if you add five you say well let me add two first.

So what's that going to get me? You perform the required operations on the coefficientsleaving the variable and exponent as they are. So now I could just rewrite this as, Three plus two plus 68,

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