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Order of Operations

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Order of Operations
CCSS.MATH.CONTENT.5.OA.A.1

Basics on the topic Order of Operations

Let's learn about order of operations with Penny.

Transcript Order of Operations

"The Snackmaster Pro can do it all! It can add vegetables to the juicer, divide the fruit between the dehydrator and smoothie maker, multiply the number of ingredients, AND it can take out any vegetables you don't like!" "Healthy snacks, activate!" "Well, um, that's not what I was expecting. I'll just do this manually by solving the order of operations on this exclusive LIVE stream! " Order of Operations The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. An expression is a sentence with a minimum of two numbers or variables and at least one math operation. When we evaluate an expression, we use given numbers to create an equation, that we can then find the value of. The math operations could be addition, subtraction, multiplication, or division. We can use the acronym GEMS to solve expressions from LEFT to RIGHT. The stands for groupings. Operations inside grouping symbols such as parentheses or brackets need to be solved first. The is for exponents; a small number written above and to the right of a base number, which indicates how many times the base should be multiplied by itself. Here, three is the base number and two is the exponent, which means we multiply three by itself two times to get NINE. The represents multiply and divide, and we ALWAYS solve from left to right. The stands for subtract, and add, and we ALWAYS solve from left to right. You may not see all these operations in one expression, and following the order of operations is important because if you don't, you may get the wrong answer. Let's solve two plus eleven times four. When using GEMS, we start from left to right. Are there any parenthesis or exponents? (...) No, so we move on to multiplying eleven times four FIRST, which equals forty-four. Since there is no multiplication or division, what operation do we perform next? (...) We add two plus forty-four which equals forty-six. Let's see what happens when we don't follow the order of operations here and just solve from left to right. IF we add two and eleven to get thirteen, and multiply thirteen times four we get fifty-two, which is the WRONG answer. This is why it's important to follow the order of operations. Let's help Penny solve THIS expression. Looking from left to right, do you see grouping symbols? (...) Yes, so solve seventeen minus six FIRST to get eleven. Are there any exponents? (...) No, so move on to multiplying three times five to get fifteen. What is the next step? (...) Since there is no division, we add fifteen plus eleven. What is the sum of fifteen and eleven? (...) Twenty-six. Penny has another snack combination represented by THIS expression. Pause the video to try solving on your own and press play when you're ready. Since there are no grouping symbols or exponents, we divide twelve and two to get six. Then, add six plus eight to get fourteen. Last, subtract one from fourteen which equals thirteen. While Penny wraps up, let's summarize. The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can use the acronym GEMS to solve expressions from LEFT to RIGHT. Following the order of operations is important because if you don't, you may get the wrong answer. "Mmmm delicious!"