Lesson 1-2 Order of Operations and Evaluating Expressions Warm Up: You’ve won! For a door prize, you get to choose between the two options shown. Which is the better prize? Why? You get $60 immediately. PRIZE 1 You get $1 the first day. Then each day for the next 5 days, you get twice the previous day's amount. PRIZE 2

Simplifying Powers: power power nth base exponent An expression like xn is called a ________________ and is read “x to the _____ ______________.” x is called the ______________ (the number being multiplied) and the n is called the _______________ (it tells how many times the base is used as a factor.) power nth power base exponent

8 8 8 ● 8 64 8● 8● 8 512 8 ●8 ●8 ●8 4096 8 ●n ●n ●n ●n ●n 1st 2nd squared 3rd 8● 8● 8 512 cubed 4th 8 ●8 ●8 ●8 4096 times 8 ●n ●n ●n ●n ●n Depends on the value of “n” 5th

Evaluating Powers http://screencast-o-matic.com/watch/cIQ1cgV5ix 2●2 ●2 ●2 ●2 ●2 64 64 4●4 ●4 32,768 To see examples using the graphing calculator, click on the link below. (Hint: Use the “POP-OUT” feature for a better view. http://screencast-o-matic.com/watch/cIQ1cgV5ix

Practice:

Simplifying a Numerical Expression grouping symbols innermost parentheses ( ) brackets [ ] braces { } radical sign fraction bar exponents multiplication division left right addition subtraction left right

48 ÷ 8 ● 3 + 5 6● 3 + 5 18 + 5 23 18 + 8 – 3 26 – 3 27 6 + 4 – 6 10 – 6 4

5● 3(5) 15 (5) 75 7 + 64 – 2 71– 2 69

= 2