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Video: Evaluating Numerical Expressions Involving the Order of Operations

Kathryn Kingham

Evaluate (2 + 2) ⋅ 2 + 2 ÷ 2.


Video Transcript

Evaluate two plus two times two plus two divided by two.

That’s a lot of twos! To evaluate this problem, we’ll need to follow the order of operations. And the order of operations goes like this: parentheses, exponents, multiplication and division from left to right. And then addition and subtraction from left to right.

Starting with the first step of order of operations, we’ll solve anything in parentheses. In this problem, that means two plus two. Two plus two is four, and that step is finished. There are no more parentheses.

Copy the problem down for the next line and check to see if there are any exponents that need solving. There are no exponents, so we can move on.

Now I look for multiplication and division from left to right. Moving from left to right, the first thing we see is four times two. But we’re not finished there because the last half of the problem has two divided by two. And now we can solve these from left to right. Four times two is eight, and two divided by two is one.

This completes our multiplication and division, and we can move on to the last step of addition and subtraction. Eight plus one equals nine.