1. 1-2 Exponents and Order of Operations Objectives: 1. To simplify and evaluate expressions and formulas 2. To simplify and evaluate expressions containing grouping symbols

2.  What You’ll Learn  To simplify and evaluate expressions and formulas  To simplify and evaluate expressions containing grouping symbols  And Why  To find the total cost of sneakers including sales tax, as in Example 3

3. GCF and LCM  New Vocabulary:  Simplify  Exponent  Base  Power  Order of Operations  Evaluate  Find the greatest common factor of each set of #s: 1. 4 & 8 2. 12 & 15 3. 5 & 7 4. 8 & 12 5. 14 & 21 6. 12 & 20  Find the least common multiple of each set of #s: 1. 4 & 8 2. 12 & 15 3. 5 & 7 4. 3 & 9 5. 6 & 9 6. 9 & 12

4. Simplifying and Evaluating Expressions and Formulas

5. Exponents  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.  You read the expression 2 4 as “two to the fourth power.” To simplify 2 4, you replace it with its simplest name, 16. There are special names for 2 3, “two cubed,” and 2 2, “two squared.”

6. Practice

7. Why do we need an order?  Look at the expression below. It is simplified in two ways.  To avoid having two different results when simplifying the same expression, mathematicians have agreed on an order for doing operations.

8. P.E.M.D.A.S.  P lease E xcuse M y D ear A unt S ally  P arentheses  E xponents  M ultiplication/ D ivision  A ddition/ S ubtraction  Order of Operations  Perform any operation(s) inside grouping symbols.  Simplify powers.  Multiply and divide in order from left to right.  Add and subtract in order from left to right.

9. Example and Practice  You evaluate an algebraic expression by substituting a given number for each variable. Then simplify the numerical expression using the order of operations.

10. Another Example and Practice

11.  You can use expressions with variables to model many real-world situations.  Sales: The cost c of a pair of sneakers with price p and sales tax of 6% can be found in the table below. Use the table to find the cost for $20, $30, $45, and $59 pairs of sneakers.

12. Simplifying and Evaluating Expressions with Grouping Symbols

13. Exponents

14. Brackets

16. Practice Time! From Examples 1 and 2

17. Ex. 3 Practice