How to Evaluate Expressions According to the Order of Operations in 6th Grade Math

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The order of operations will begin to play a large role in mathematics right around the sixth grade. Learn how to evaluate expressions using the order of operations in mathematics with help from an experienced mathematics educator in this free video clip.

Part of the Video Series: Elementary Math
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Video Transcript

Hi my name is Marija. I'm a mathematician and today I'm going to show you how to evaluate expressions using the order of operations in math. The most important phrase to remember when we're talking about order of operations is as you have probably heard, pemdas, but what you have to remember with pemdas is that it stands for parentheses, exponents, multiplication, division, addition, subtraction but, multiplication does not necessarily go before division. It depends on which operation comes first from left to right. So sometimes I like to put an 0 in between both of these and call it pemodaos instead so that you know it's multiplication or division and it's addition or subtraction not necessarily in this order. So let's go ahead and work through an example. Let's say we have 20 divided by 2 times 5 minus 3 plus 7. Alright our order of operation says we begin with parentheses. There's only one set of parentheses so we're going to go ahead and go right over there and simplify this to 10 because 3 plus 7 is 10. We're going to bring everything else down and it's very important to make sure that you bring every term and every operation symbol down so that you don't miss anything. Okay so now we're done with our parentheses. We move on to exponents. I don't see any exponents in this problem so I don't have to worry about that. Now I'm doing multiplication or division. I see both of these operations but again like I told you we're not going multiplication first, we're going left to right. So from left to right division comes first. So I'm going to do 20 divided by 2 and when I do that I get 10. Again bring down everything else and be really neat about that. It's going to help you with your problem. So now I have 10 times 5 minus 10. So I'm done multiplying, I'm sorry, I'm done dividing, now the only thing I have left is to multiply out of these two. So 10 times 5 is 50 and again I bring down my minus 10. I'm done multiplying or dividing. The only thing left to do is add or subtract and I only have one of these so I'm going to go ahead and do this operation, 50 minus 10 is 40 and 40 is the simplified version of this longer expression up here. My name is Marija and I just showed you how to use the order of operations when solving math expressions.

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