- 12.06.2019

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Order of operations Video transcript We're asked to simplify 8 plus 5 times 4 minus, and then in parentheses, 6 plus 10 divided by 2 plus Whenever you see some type of crazy expression like this where you have parentheses and addition and subtraction and division, you always want to keep the order of operations in mind.

Let me write them down over here. So when you're doing order of operations, or really when you're evaluating any expression, you should have this in the front of your brain that the top priority goes to parentheses.

And those are these little brackets over here, or however you want to call them. Those are the parentheses right there. That gets top priority. Then after that, you want to worry about exponents. There are no exponents in this expression, but I'll just write it down just for future reference: exponents. One way I like to think about it is parentheses always takes top priority, but then after that, we go in descending order, or I guess we should say in-- well, yeah, in descending order of how fast that computation is.

When I say fast, how fast it grows. When I take something to an exponent, when I'm taking something to a power, it grows really fast. Then it grows a little bit slower or shrinks a little bit slower if I multiply or divide, so that comes next: multiply or divide.

Multiplication and division comes next, and then last of all comes addition and subtraction. So these are kind of the slowest operations. This is a little bit faster. Ensuring Solutions By convention, exponents are solved first, then multiplications or divisions, from left to right, then additions or subtractions, from left to right. There are no exponents in the problem, but there is a multiplication, 9 X 2, equaling Similarly, in 2 X 34, the exponent is worked first, then the multiplication.

Parentheses Parentheses in mathematical sentences take priority over all other operations, so they are solved first, from left to right. Divide that by 2 to get 5. Multiply 5 times 11 to get Unfortunately, even though it seemed ok, this answer is wrong. The correct order of operations The order of operations will allow you to solve this problem the right way. Always perform the operations inside a parenthesis first, then do exponents.

After that, do all the multiplication and division from left to right, and lastly do all the addition and subtraction from left to right. There aren't any.

Well, you might be tempted to say, well, let me just go left to right. Step 3 Multiplication and Division. That comes out to Division takes priority over addition, so you actually want to do the division first, and we could actually write it here like this.- Manually assign ip address;
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Those are the parentheses right there. Let me do it in that same purple. Now this parentheses is pretty straightforward. But remember: order of operations. So let's apply it over here.

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Within the order of operations, if x equals 2, 4x 3 would equal 83 or So 8 plus 20 is 28, so you can view this as 28 minus 11 plus So let's just evaluate that right from the get go. Unlike reading, where we always work left-to-right, sometimes with math we need to work one part of a problem before another, or the final answer could be incorrect.

**JoJozil**

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**Mubar**

Order of operations Video transcript We're asked to simplify 8 plus 5 times 4 minus, and then in parentheses, 6 plus 10 divided by 2 plus Divide that by 2 to get 5. Unlike reading, where we always work left-to-right, sometimes with math we need to work one part of a problem before another, or the final answer could be incorrect!

**Dougami**

We use the term "order of operations" to describe which part of the problem needs to be worked first. So this is going to result in 8 plus-- and really, when you're evaluating the parentheses, if your evaluate this parentheses, you literally just get 5, and you evaluate that parentheses, you literally just get 4, and then they're next to each other, so you multiply them. Now this parentheses is pretty straightforward.

**Sajas**

Math Subjects. Let me close the parenthesis right there. Divide that by 2 to get 5. Keep going Then it grows a little bit slower or shrinks a little bit slower if I multiply or divide, so that comes next: multiply or divide. So this is going to result in 8 plus-- and really, when you're evaluating the parentheses, if your evaluate this parentheses, you literally just get 5, and you evaluate that parentheses, you literally just get 4, and then they're next to each other, so you multiply them.

**Yozshukora**

After that, do all the multiplication and division from left to right, and lastly do all the addition and subtraction from left to right. Unlike reading, where we always work left-to-right, sometimes with math we need to work one part of a problem before another, or the final answer could be incorrect!