## Introduction to AlgebraDay 1, 2

Contents
 Letter from Prof Order of Operations Homework Warm Up Exercises Order of Operations Answers Meaning of Fraction Division Symbols Division by Zero

Day 1

Day 1
 THE ORDER OF OPERATIONS (Topmost First) Functions - absolute value and other examples Parentheses or other Marks of Inclusion - (parenthises), bar, [bracket], {brace}   (Innermost First) Roots or Exponents Multiplication or Division (Leftmost First) Addition or Subtraction (Leftmost First)     Restated it's: Functions, Parentheses first, next Roots or Exponents, then Multiply or Divide (left to right) then Add or Subtract (left to right): Finally Please, Readily Excuse, My Dear Aunt Sally.

Day 1 - Homework
 Simplify. 1. 3 + 4 x 5 2. 4 + 3(2 + 1)

Day 2 - Warm Up Exercises & Review
 Simplify. 1. 4 + 2(3 + 52) 2. (41 + 51) ÷ 3 3. 0 ÷ 4 4. 4 ÷ 0 5. 2 ÷ 4 6. List the order of operations

Day 2- Order of Operations
 THE ORDER OF OPERATIONS (Topmost First) Functions Parentheses or other Marks of Inclusion - brackets, parenthises, brackets, bar (Innermost First) Roots or Exponents Multiplication or Division (Leftmost First) Addition or Subtraction (Leftmost First)

Day 2- Answers to Warm Up

 RECOPY WHATEVER YOU DON’T SIMPLIFY

Simplify.

Day 2- What's A Fraction
 FRACTION , Read So, What's A Fraction? 3 NUMERator --- division sign 4 deNOMINATEr 3 number er - # of pieces --- division sign 4 namer - how many equal pieces in 1 whole

Day 2- Division Symbols & Division by Zero
 4 ÷ 0 in Division Symbols4 ÷ 0 4 / 0   4 you have 4 pieces -- 0 makes no sense, no equal pieces 4 ÷ 0 is undefined.

 0 ÷ 4 in Division Symbols 0 ÷ 4 0 / 4  0 zero pieces --4 4 equal pieces in a whole 0 ÷ 4 = 0

Day 2- From & For Homework.
 Old homework. Simplify. 1. 3 + 4 x 5         2. 4 + 3(2 + 1)     3 + 20                     4 + 3(3)     23                             4 + 9                                       13   3. New homework, from page 80/c80k.htm Simplify. a. 20 - 4 • 3 - 2 b. 20 - (4 • 3 - 2) c. (20 - 4) • ( 3 - 2) 5. 4 + 5 •[ 4 + 8 ÷ 2 ÷ 2] On the web, check answers/work to new homework.