1. Exponents and Order of Operations Do you know the chick named sally???
Lesson 1-2
Exponents and Order of Operations
Do you know the chick named sally???

2. Lesson 1-2 Exponents and Order of Operations
Vocabulary
To Simplify a numerical expression, you replace it with its simplest name.
EXAMPLE: 2 * * (8+3)
An exponent tells how many times a number, the base, is used as a factor. A power has two parts, a base and an exponent.
EXAMPLE: Which is the base? Which is the exponent?

3. Please Excuse my dear aunt sally A and S – Add and Subtract
Order of Operations
Please Excuse my dear aunt sally
P – parentheses
E – exponents
M – Multiply
D – Division
A and S – Add and Subtract

4. I prefer this ….. Order of Operations
Please End my day at school
P – parentheses
E – exponents
M – Multiply
D – Division
A and S – Add and Subtract

5. Order of Operations
Rule 1: Simplify all operations inside parentheses.
Rule 2: Simplify all exponents, working from left to right.
Rule 3: Perform all multiplications and divisions, working from left to right.
Rule 4: Perform all additions and subtractions, working from left to right.

6. Simplifying a Numerical Expression
Problem: Evaluate this numerical expression
÷ 32
P – Parentheses…No.
E – Exponents…Yes. 3 * 3 = 9
÷ 9 M/D – Multi/Divide…Yes.
A/S – Add/Subtract…Yes.
Answer 22

7. Evaluating an Algebraic Expression
You evaluate an algebraic expression by substituting a given number for each variable.
Then simplify the numerical expression using the order of operations.

8. Evaluating an Algebraic Expression
Evaluate for v = 10 and w = 9. v + 4w ÷ (9) ÷ ÷
Evaluate for a = 7 and
b = 3.
36 – a2 + ab
36 – 7 * * 3
36 – 8

9. Simplifying an Expression with Parentheses
Evaluate  8 + (2 x 5) x 34 ÷ 9
8 + (10) x 34 ÷ 9
x 81 ÷ 9
÷ 9
8 + 90
Did you get that answer? 

10. Simplifying an Expression
Example: Simplify 3(5 + 2) – 4(7 – 2) 3(7) – 4(5) 21 – 20 1

11. EXAMPLE Simplify 4 + [–1(–2 – 1)]2 4 + [-1(-3)] 2 4 + [3] 2 4 + 3 * 3
4 + 9 13