1MPES2Order of Operations

Ecole Supérieure de Commerce de Neuchâtel

Pierre Marchal28.09.2015

http://creativecommons.org/licences/by/3.0/Attribute to: Pierre Marchal (Lycée Jean-Piaget)

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

To simplify an expression

• We proceed in this order:1. 2. 3. 4.

• To Remember:

ParenthesisExponentsMultiplication / DivisionAddition / Subtraction

PEMDAS

(L R)(L R)

EXAMPLES OF APPLICATION

PEMDAS

PEMDAS

21

Practical exercises

Simplify these expressions

Please Excuse My Dear Aunt Sally !

PEMDAS

Order of Operations - Parenthesis

• Different types of parenthesis:

• Always do first !inner parenthesis

( )[ ]

{ }

Curved bracketsSquared bracketsCurly brackets

EXAMPLES OF APPLICATION

1

56

Practical exercises

Evaluate with respect to the Order of Operations

Always inner parenthesis first!

…

138…3’969

Simplify Fractions with Parenthesis

• When simplifying fractions, always simplify and first !

• Then fraction.

top bottom

simplify

EXAMPLES OF APPLICATION

Top Bottom

Top Bottom

Practical exercises

Simplify these expressions

…

-4

…

9

Simplify top and bottom first, then simply fraction !

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

Any question ?

THANKS FOR YOUR ATTENTIONEnjoy your holidays but please don’t forget to learn your lesson !