Order of Operations

Does the order in which operations are done make any difference?

Ex. Which is the correct answer when simplifying 6 + 3 x 12?

6+3x12

=9x12

=108

OR

6+3x12

=6+36

=42

What Rule Do These Examples Seem to Follow?

20348

92612

28256

PEMDAS (Please Excuse My Dear Aunt Sally)

ParenthesisExponentsMultiplication/Division Addition/Subtraction

Now you try, using the rule…

3210 A: 16

2618 A: 15

458 A: 28

2648 A: 16

8

10

5

1

8

5

8

7:A

8758 A: -96

23 523 A: -1

2220210 x A: -15

A = 9

Grouping Symbols

Grouping symbols such as parentheses ( ), brackets [ ], and braces are used to clarify or change the order of operations.

They indicate that the expression within the grouping symbol is to be evaluated first.

A: 31

A: 60

A: 36

Fraction Bar

A fraction bar is another type of grouping symbol.

It indicates that the numerator and denominator should each be treated as a single value.

A: 2

A: 1

You Try…..

A: 14

A: 51

A: 60

A: 26

A: 5

Evaluating Algebraic Expressions

First replace the variables with their values.

Then, find the value of the numerical expressions using the order of operations.

A: 42

A: 30

Evaluate the following if g = 4, h = 6, j = 8, and k = 12.

A: 30

A: 160

A: 1

Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5.

A: 9

A: 1

Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5.

Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5.

Use Algebraic Expressions

Draw diagrams when possible.

Write an expression that represents what the question is asking you to find.

Order of OperationsUsing Signed Numbers

a) 12 + (-7)(2)

Find the value of y for x= -4

b) y= -17-3x

Find the value of y for x=4

c) y= 7-2x

Find the value of y for x=-2

d) y= 7-3x

= 12 + (-14) = -2

= -17 – 3(-4) = -17 +12 = -5

= 7 – 2(4) = 7 – 8 = -1

= 7 – 3(-2) = 7 +6 = 13