ORDER OF OPERATIONS

When you make cereal, do you fill the bowl with milk or cereal first? Why?

When you get dressed, do you put on your shoes or socks first? Why?

In our lives and in MATH, we need to do things in a certain order to make sure they turn out right. That is where the ORDER OF OPERATIONS come into play! In our lives and in MATH, we need to do things in a certain order to make sure they turn out right. That is where the ORDER OF OPERATIONS come into play!

Order of Operations Definition The order of operations are a specific set of steps to follow in multi-step problems to ensure that everyone gets the same final answer.

#1 Four Rules for Order of Operations 1. Perform calculations inside parentheses first 2. Solve Exponents 3. Perform all multiplication & division from left to right… Example: 1 x 6 ÷ 2 (multiply 1 x 6 THEN divide your answer by 2) 10 ÷ 5 x 3 ( divide 10 by 5 THEN multiply your answer by 3) 4. Perform all addition and subtraction from left to right Example: – 3 (add 10 plus 5 THEN subtract three from your answer) 5 – ( subtract 3 from 5 then add 10 to your answer)

Add + Subtract - Multiply x Divide ÷ Please Excuse My Dear Aunt Sally P E MDMD ASAS Parentheses ( ) Exponents 4 3

#3 PEMDAS HOPSCOTCH

#4 IMPORTANT!! ALWAYS UNDERLINE the portion of the problem you are solving and BRING DOWN the remaining parts of the problem! Your problem should look like an upside down triangle!!

Slide # (5 – 3) x 5 Step #1 Do you have any ( )? If so evaluate what’s inside FIRST? Step #2 Do you have any exponents {e 2 }? If so evaluate. Step #3 Do you have any multiplication OR division? If so evaluate from left to right. Step #4 Do you have any addition OR subtraction? If so evaluate from left to right? ***EACH TIME YOU COMPLETE A STEP BRING DOWN THE REMAINING PARTS OF THE PROBLEM!!!***

Slide # ( ) x 2 Step #1 Do you have any ( )? If so evaluate what’s inside FIRST? Step #2 Do you have any exponents {e 2 }? If so evaluate. Step #3 Do you have any multiplication OR division? If so evaluate from left to right. Step #4 Do you have any addition OR subtraction? If so evaluate from left to right? ***EACH TIME YOU COMPLETE A STEP BRING DOWN THE REMAINING PARTS OF THE PROBLEM!!!***

Slide #7 3² - 2 x 2 Step #1 Do you have any ( )? If so evaluate what’s inside FIRST? Step #2 Do you have any exponents {e 2 }? If so evaluate. Step #3 Do you have any multiplication OR division? If so evaluate from left to right. Step #4 Do you have any addition OR subtraction? If so evaluate from left to right? ***EACH TIME YOU COMPLETE A STEP BRING DOWN THE REMAINING PARTS OF THE PROBLEM!!!***

Slide #8 55 – ( 20 ÷ 2 2 ) + 3 Step #1 Do you have any ( )? If so evaluate what’s inside FIRST? Step #2 Do you have any exponents {e 2 }? If so evaluate. Step #3 Do you have any multiplication OR division? If so evaluate from left to right. Step #4 Do you have any addition OR subtraction? If so evaluate from left to right? ***EACH TIME YOU COMPLETE A STEP BRING DOWN THE REMAINING PARTS OF THE PROBLEM!!!***

Two More on Your Own TURN YOUR PAPER OVER AND SOLVE THESE ON THE BACK. 60 ÷ (10 – 4) x 2³