Order Of Operations
Section 1.3
Essential Question:
How do I use the
order of operations to
simplify expressions?
Order of operation
Vocabulary
Order of operation: PEMDAS
+
•
—
x
4
Order of Operations
The rules of which calculation comes first in
an expression
They are:
1. Do everything inside parentheses first: ()
2. then do exponents: x2
3. then do multiplies and divides from left to
right
4. lastly do the adds and subtracts from left
to right
Example: 5 × (3 + 4) - 2 × 8
5×7-2×8
35 - 16 = 19
3. Order of Operations
20 - 3 + 4
3. Order of Operations
(20)(-3)(4)
3. Order of Operations
20 + 5 • 4
3. Order of Operations
20 + 5 • (4 - 1)
3. Order of Operations
20 + 5 • (4 - 1)2
3. Order of Operations
20 ÷ 5 • 2 + 5 • (4 - 1)2
3. Order of Operations
6 • 22
4 • 32
(6 8) 2 • (1 7)
4 2 2(3)(9)
52 4(2)(3)
5 4 • 23
9 3 • 2 3 2 72
15 23
50 5 3 4(3) 2 1 2 3 4 12• 22
Examples
Evaluate using order of operation, show your work
1. 24 – 8 - 6
2
15 2
4.
3. 16 + 4 • 2 - 3
7 4
2
8 7 1
6
4. Evaluating
7+8
4. Evaluating
Evaluate:
a+x
for a = 7 and x = 8
4. Evaluating
Evaluate:
a+x
for a = 12 and x = 10
4. Evaluating
Evaluate:
a+x
for a = 1 and x = 14
4. Evaluating
Evaluate:
a+x
for a = 1,500 and x = 23,000,000
4. Evaluating
Evaluate:
b2 - 4ac
for a = 7, b = -5, and c = 2
4. Evaluating
Evaluate:
b2 - 4ac
for a =
,b=
, and c =
6. Homework
Practice
Evaluate:
2ab 5
for a = -3, b = -2
Challenge
Evaluate:
3
2a b 5
for a = -3, b = -2
• Day 4
1. Opener
Simplify each of these:
a)
e)
( 1)( 1)(1)( 1)(1)( 1)( 1)( 1)( 1)(50)
( 2)(3)( 4)(5)
10 ( 32) ( 22)
1 2 3 4
50
Evaluate: x 2 5x 6 for x = 6
f)
What number could you evaluate in (e) so that
b)
c)
d)
x 2 5x 6 0
g) What appetizer is most requested with a last meal?
6. Homework
Practice
Evaluate:
2ab 5
for a = -3, b = -2
Challenge
Evaluate:
3
2a b 5
for a = -3, b = -2
Examples
Evaluate using Order of operation and show your work
1. 3x² + 1 when x = 4
2. 2x² + 5 when x = 2
3. 8 – x² when x = 2
4. 6 + 3x³ when x = 2
Practice Book page 18-19
Numbers 23 to 26 copy problem
show substitution
Evaluate
Numbers 27 to 35 Copy problem
Evaluate
Numbers 36 to 41 copy problem
Evaluate