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Order of Operations

Order of Operations. By Mr. Walker. 25. 3. +(3x5)-2. 5. The Expression. We need to simplify this expression down to one number (find the answer). But where do we start?. There is a certain order we need to follow when we simplify

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Order of Operations

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  1. Order of Operations By Mr. Walker

  2. 25 3 +(3x5)-2 5 The Expression We need to simplify this expression down to one number (find the answer). But where do we start? There is a certain order we need to follow when we simplify this expression, or we will get the wrong answer. This is called… Order of Operations It goes like this… • Going left to right (like when reading) • Do anything in Parentheses • Start over and do any Exponents • Start over and do any Multiplication and Division • Start over and do any Addition and Subtraction

  3. Definitions 25 3 +(3x5)-2 5 Parentheses are… ( ) 3 Exponents are … Powers and Roots 2 16 In this problem 2 has a power of three, which means you should multiply 2 by itself three times: 2x2x2 Multiplication and Division are … X 25 is the same as saying 25 5 5 + - Addition and Subtraction are…

  4. How Do I Remember All This? Easy… Please Excuse My Dear Aunt Sally Dear Aunt Sally had a very bad day, so please excuse her. It all started when she burnt her tongue on her hot coffee. Then on the way to work her car died. While she was walking the rest of the way to work a car drove by and splattered her with mud. When she finally got to work her boss fired her for being late. Since she did not have a job anymore she started walking home and found a quarter on the sidewalk near a tree. ‘Great,’ she thought but soon found out that it was super-glued to the sidewalk. While she was looking down at the quarter a bee stung her and she stood up so fast that she forgot the tree branch right above her head. BONK! Just then a 7 year old boy bumped into her because he was reading a comic book as he walked. When he looked up to say ‘Excuse me,’ this is what he saw… Parentheses Exponents Mu l t i p l i ca t on Division Addi t ion Subtract ion So … Please Excuse My Dear Aunt Sally

  5. Step by Step ‘P’ 25 3 3 25 +(3x5)-2 +15-2 5 5 Please Excuse My Dear Aunt Sally Parentheses (3x5) is 15, so put the 15 in the spot of the (3x5)

  6. You most likely will not have to deal with this step in 4th grade. Step by Step ‘E’ 25 3 25 +15-8 +15-2 5 5 Please Excuse My Dear Aunt Sally Exponents 3 • Is the same as 2x2x2 • 2x2=4 x2 again is 8 • So replace the 2 with the 8 3

  7. Step by Step ‘M’ & ‘D’ 25 25 +15-8 +15-8 5+15-8 5 5 Please Excuse (My Dear) Aunt Sally Mu l t i p l i ca t on Division Do any multiplication and division as you read left to right There is nothing to multiply so do the division. 25 is the same as saying 25 5 5 25 divided by 5 is 5. So replace the with the 5 25 5

  8. Step by Step ‘A’ & ‘S’ 5+15-8 20-8 12 You are done! Do any addition and subtraction as you read left to right Please Excuse My Dear (Aunt Sally) Addi t ion Subtract ion Add the 5+15 to get 20 Take out the 5+15 and put the 20 in that spot Subtract the 8 from the 20 and get 12 1 10 borrow 20 - 8 12 Take away the 20-8 and put the 12

  9. Let’s Try One Together RememberPlease Excuse My Dear Aunt Sally 36 5+(3x4)- Simplify this expression 6 36 Parentheses: (3x4) = 12 5+12- 6 36 Exponents: None-Skip 5+12- 6 36 5+12- Multiplication: None-Skip 6 5+12-6 Division: 36 divided by 6 = 6 Addition: 5+12=17 17-6 11 Subtraction: 17-6=11

  10. Try These On Your Own 50 2+(4x9)- 4x(1+7)-24 3 5 28 24 Answer Answer 3 56 45 3 -20+( +5)-7 +2x(3x9)-60 7 9 10 2 Answer Answer

  11. For Fun Make Up Your Own Aunt Sally Story Please Excuse My Dear Aunt Sally because…

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