Intro to Order of Operations and Aunt Sally (PEMDAS)

Contributor: Briana Pincherri. Lesson ID: 11219

Does dear Aunt Sally need an operation? We hope not, but she can help you with your multiple math operations! Is your PEMDAS ready? That's a simple way to remember in how to solve tough math problems!

categories

Middle School

subject
Math
learning style
Visual
personality style
Lion, Otter
Grade Level
Middle School (6-8)
Lesson Type
Quick Query

Lesson Plan - Get It!

Audio:

Did you know you need your aunt for class day? Whether you have a favorite aunt, or can imagine a pretend aunt, I want you to think of her during this lesson. "Why?" you ask? Because today's lesson is all about the order of operations and how someone called, "dear Aunt Sally" will help you remember the steps to solve problems!

Chances are, by this point in your math journey, you have run into a problem or two where you are mixing operations in the problem.

For example, 2 + 4 x 3. You may think you go from left to right to solve it, the same way you read a sentence. However, math rules are very different, and simply trying to solve a problem like the one above from left to right is a big no-no.

Instead, there is a specific ORDER in which you should solve each operation within problems that have multiple operations.

"What is that order?" you ask? Well, cue in our dear Aunt Sally!

We will use the phrase "Please Excuse My Dear Aunt Sally" (or PEMDAS) to remind you to solve problems in the following order:

  • P - Parentheses
  • E - Exponents
  • M - Multiplication
  • D - Division
  • A - Addition
  • S - Subtraction

This means take care of ANY operations within parentheses first, then exponents (or powers), then multiplication and division from left to right, and, finally, addition and subtraction from left to right.

Here are some examples using dear Aunt Sally's rules:

Example 1

3 + (8 – 5)
3 + (3)  < Take care of parentheses first.
= 6

Example 2

(10 + 6) x 3 – 42
16 x 3 – 42   16 x 3 – 16  < E: Next take care of any exponents.
48 - 16  < M/D: Take care of any multiplication and division from left to right.
32  

Example 3

22 - (3 x 4) + 10 – (9 – 1)
22 - 12 + 10 - 8  10 + 10 - 8  20 - 8          12

Here are a few more dear Aunt Sally examples below, in Math Antics – Order of Operations:

 

After viewing the video, it is time to put this info into practice!

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