Intro to Order of OperationsIntro to Order of Operations(O-O-O)(O-O-O)

Ms. StewartMs. StewartMath 7Math 7

COPY SLIDES WHEN YOU SEE THIS

Evaluate the following:Evaluate the following:

3 x 6 + 2 x 103 x 6 + 2 x 10 What is your answer?What is your answer?

Try Again!Try Again! Mr. and Mrs. Baker and their three Mr. and Mrs. Baker and their three

children went to the movies. The children went to the movies. The cost for a child was $6.00 and the cost for a child was $6.00 and the cost for an adult was $10.00. How cost for an adult was $10.00. How much did the Baker family pay to go much did the Baker family pay to go to the movies?to the movies?

Taking Another LookTaking Another Look

3 x 6 + 2 x 10 = 3 x 6 + 2 x 10 =

3 children…

…at $6 each

2 adults…

…at $10 each

added

to

$38

Order of OperationsOrder of Operations When calculating equations with mixed When calculating equations with mixed

operations(+, -, x, operations(+, -, x, ) everyone must ) everyone must agree to follow the same rules; otherwise agree to follow the same rules; otherwise different people will get different answers.different people will get different answers.

Mathematicians have come up a set of Mathematicians have come up a set of rules. We call these rules, rules. We call these rules, “Order of “Order of Operations”.Operations”.

To help us remember the rules we use the To help us remember the rules we use the word word BEDMAS.BEDMAS.

BEDMASBEDMAS~Order of Operation Rules~Order of Operation RulesRead Left to RightRead Left to Right

B ~ BracketsB ~ Brackets

E ~ ExponentsE ~ Exponents

D ~ DivisionD ~ Division M ~ MultiplicationM ~ Multiplication

A ~ AdditionA ~ Addition S ~ SubtractionS ~ Subtraction You do ALL adding and You do ALL adding and

subtracting in the order subtracting in the order they appear. You do they appear. You do

not do any + or – until not do any + or – until you have completed all you have completed all

x and x and

You complete all operations inside the

brackets first.

You do ALL x and in the order they appear.

You do ALL exponents in the order they appear.

BracketsBrackets Brackets tell us that certain things belong Brackets tell us that certain things belong

together. What would you rather have?together. What would you rather have?

BracketsBrackets Brackets also tell us to do what is inside Brackets also tell us to do what is inside

first.first.

What should be solved first?What should be solved first?

5 + 4 + 2 x 5 – 6 =5 + 4 + 2 x 5 – 6 = 5 + 4 + 5 + 4 + 2 x 52 x 5 – 6 = – 6 =

9 9 3 + 5 x 3 - 1 = 3 + 5 x 3 - 1 = 9 9 3 3 + 5 x 3 - 1 = + 5 x 3 - 1 =

7 x 3 – (9 + 4) + 5 =7 x 3 – (9 + 4) + 5 = 7 x 3 – 7 x 3 – (9 + 4)(9 + 4) + 5 = + 5 =

What should be solved first?What should be solved first? 6 – 4 + 6 + 16 =6 – 4 + 6 + 16 = 6 – 46 – 4 + 6 + 16 = + 6 + 16 =

(6 – 4) + (7 x 6) + 10 (6 – 4) + (7 x 6) + 10 5 = 5 = (6 – 4)(6 – 4) + (7 x 6) + 10 + (7 x 6) + 10 5 = 5 =

40 40 4 - (3 + 5 x 2 - 7) = 4 - (3 + 5 x 2 - 7) = 40 40 4 - (3 + 4 - (3 + 5 x 25 x 2 - 7) = - 7) =

What should be solved first?What should be solved first? 4 – 2 + 6 x 10 4 – 2 + 6 x 10 5 = 5 = 4 – 2 + 4 – 2 + 6 x 106 x 10 5 5 = =

8 8 4 + (7 + 6) + 3 x 2 = 4 + (7 + 6) + 3 x 2 = 8 8 4 + 4 + (7 + 6)(7 + 6) + 3 x 2 = + 3 x 2 =

(4 (4 2 x 3 + 8) - 2 x 7 = 2 x 3 + 8) - 2 x 7 = ((4 4 2 2 x 3 + 8) - 2 x 7 = x 3 + 8) - 2 x 7 =

Evaluate the following:Evaluate the following:1.1. (6 + 3) x 2 – 4 + 3 x 2(6 + 3) x 2 – 4 + 3 x 22.2. (30 + 8) – 3 x (4 + 6) (30 + 8) – 3 x (4 + 6) 3.3. (4 + 6 x 2 – 9) x 2 – 10(4 + 6 x 2 – 9) x 2 – 104.4. 6 + 3 x 2 6 + 3 x 2 3 x 5 + 8 3 x 5 + 8 2 – 4 x 2 2 – 4 x 25.5. 2 x (4 – 3 + 2)2 x (4 – 3 + 2)6.6. (8 – 3) + 5 x 2 (8 – 3) + 5 x 2

Adding BracketsAdding Brackets

4 + 6 – 5 x 2 = 64 + 6 – 5 x 2 = 6 5 + 6 x 4 – 9 = 355 + 6 x 4 – 9 = 35 5 + 7 x 8 – 6 = 195 + 7 x 8 – 6 = 19 5 + 3 + 2 x 2 = 205 + 3 + 2 x 2 = 20

Adding BracketsAdding Brackets 7 + 4 x 3 – 1 = 157 + 4 x 3 – 1 = 15 3 + 5 + 4 x 2 = 213 + 5 + 4 x 2 = 21 7 x 3 – 1 + 4 = 167 x 3 – 1 + 4 = 16 26 – 5 x 4 26 – 5 x 4 2 = 3 2 = 3 4 + 3 x 3 – 1 = 144 + 3 x 3 – 1 = 14

Homework QuestionsHomework Questions

1.1. 2 x (3 x 7 ) – 52 x (3 x 7 ) – 52.2. (15 – 5) + 5 x 3 (15 – 5) + 5 x 3 3.3. (6 x 2(6 x 233) – 10) – 104.4. 5 + ( 65 + ( 6 + 3 + 333))5.5. (10 + 9 – (4 x 7) (10 + 9 – (4 x 7) 4) 4)