1. 1MPES2 Order of Operations Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 28.09.2015 http://creativecommons.org/licences/by/3.0/ Attribute to: Pierre Marchal (Lycée Jean-Piaget)

2. Objectives of the course By the end of the course, you should be able to: – Know the order of operations – Know the mnemonic device to remember it – Recognize the different types of parenthesis – Give the names of the parenthesis – Simplify fractions with parenthesis – Correctly perform operations including parenthesis

3. To simplify an expression We proceed in this order: 1. 2. 3. 4. To Remember: Parenthesis Exponents Multiplication / Division Addition / Subtraction P E MD AS (L  R)

4. EXAMPLES OF APPLICATION

5. P E MD AS

6. P E MD AS 21

7. Practical exercises

8. Simplify these expressions Please Excuse My Dear Aunt Sally ! P E MD AS

9. Order of Operations - Parenthesis Different types of parenthesis: Always do first ! inner parenthesis ( ) [ ] { } Curved brackets Squared brackets Curly brackets

10. EXAMPLES OF APPLICATION

11. 1

12. 56

13. Practical exercises

14. Evaluate with respect to the Order of Operations Always inner parenthesis first! … 138 … 3’969

15. Simplify Fractions with Parenthesis When simplifying fractions, always simplify and first ! Then fraction. top bottom simplify

16. EXAMPLES OF APPLICATION

17. TopBottom

18. TopBottom

19. Practical exercises

20. Simplify these expressions … -4 … 9 Simplify top and bottom first, then simply fraction !

21. By the end of this course You are able to : – Know the order of operations – Know the mnemonic device to remember it – Recognize the different types of parenthesis – Give the names of the parenthesis – Simplify fractions with parenthesis – Correctly perform operations including parenthesis

22. Any question ?

23. THANKS FOR YOUR ATTENTION Enjoy your holidays but please don’t forget to learn your lesson !