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Order of Operations

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**Order of Operations PYRAMID We will use this pyramid to help us remember the Order of Operations.**

When you solve a problem, you will start at the top of the pyramid and work your way down. There are three different levels of the pyramid.

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**We always evaluate what is inside a set of parentheses first.**

The P stands for Parentheses. We always evaluate what is inside a set of parentheses first. ( P ) Example: In x (4+3),we would solve FIRST because it is inside the parentheses.

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**Next: Multiplication and/or Division**

The MD stands for Multiplication and Division. ( P ) M D We always solve multiplication and division second. Don’t forget the -> above the MD!

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**What happens if there is multiplication and division in the same problem?**

You would work from left to right and do whichever operation came first. This is why we put the on the pyramid above the MD! Here are two examples: Example 1: 5 x 6 ÷ 3 Solution 1: 5 x 6 equals 30, and 30 ÷ 3 equals 10. Example 2: 40 ÷ 5 x 3 Solution 2: 40 ÷ 5 equals 8, and 8x3 equals 24.

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**Last: Addition and/or Subtraction**

( P ) The AS stands for Addition and Subtraction. M D A S We always solve addition and subtraction third. Don’t forget the -> above the AS!

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**What happens if there is addition and subtraction in the same problem?**

You would work from left to right and do whichever operation came first. This is why we put the on the pyramid above the MD! Here are two examples: Example 1: Solution 1: equals 11, and equals 1. Example 2: Solution 2: equals 17, and equals 27.

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** Order of Operations M D A S ( P )**

Draw an Order of Operations Pyramid in your Math Notebook. M D A S Now let’s use the pyramid to solve some equations!!

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**Let’s Try This One Together**

x 8 ÷ ( ) = _____

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**Now Try This One with a Partner**

÷ 3 x (2 + 5) =_____

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**Now Try This One On Your Own**

8 + 3 x 3 ÷ (10 - 7) =_____

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**( P ) M D A S (12 – 3) x 4 ÷ 2 = _____ 8 + 6 x 4 = ______**

Name __________________________________________________ Order of Operations Homework ( P ) Directions: Use the Order of Operations pyramid to solve the following problems. Use another sheet of paper to show your work if you need more room. (12 – 3) x 4 ÷ 2 = _____ 8 + 6 x 4 = ______ ÷ 2 x 3 = _____ M D A S 12 ÷ (5 + 1) x 2 = ______ Feng paid a total of $18 for a glass pitcher and 6 pounds of lemons. The price of the lemons was $2 per pound. Using the equation 18 – 6 x 2 = p, what is the price of the glass pitcher?

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