Exponents & Order of Operations Notes for November 8 Section 4-2

Today’s Objective I can simplify expressions which involve: Grouping Symbols – Parenthesis & Fraction Bars Exponents

But first! Let’s review!

7 – 6 + 3 – 24 ÷ 6 7 + -6 + 3 + -24 ÷ 6 7 + -6 + 3 + -4 1 + 3 + -4 Ex. 1 4 + -4 4

7 – 6 + 3 – 24 ÷ 6 7 + -6 + 3 + -24 ÷ 6 7 + -6 + 3 + -4 1 + 3 + -4 Ex. 1 4 + -4 5

16 + 8 ÷ 2 – 11(2) 16 + 8 ÷ 2 + -11(2) 16 + 4 + -11(2) Ex. 2 16 + 4 + -22 20 + -22 -2 6

16 + 8 ÷ 2 – 11(2) 16 + 8 ÷ 2 + -11(2) 16 + 4 + -11(2) Ex. 2 16 + 4 + -22 20 + -22 -2 7

Ex. 3 4 – 3(2) + 6 – 8 ÷ 2 4 + -3(2) + 6 + -8 ÷ 2 4 + -6 + 6 + -8 ÷ 2 4 + -6 + 6 + -4 -2 + 6 + -4 4 + -4 8

Ex. 3 4 – 3(2) + 6 – 8 ÷ 2 4 + -3(2) + 6 + -8 ÷ 2 4 + -6 + 6 + -8 ÷ 2 4 + -6 + 6 + -4 -2 + 6 + -4 4 + -4 9

Definition Fraction Bars – The bar used to separate the numerator and denominator in a fraction. Ex. When we see fractions bars, we simplify: Everything on ________ Everything on ___________ _____________ the two top bottom Divide

11

12

Now let’s check out some problems with Exponents!!!

Exponents come before the “m or d & a or s.” Remember!! Exponents come before the “m or d & a or s.”

An exponent is just repeated multiplication An exponent is just repeated multiplication. It would be smart for you to write it out before doing it! Just write it out...

What happens when you have a negative number with exponents??? Careful!! What happens when you have a negative number with exponents??? Just write it out...

Simplify for x= -3 and y = 4