1 2 Order of Operations Definitions To simplify

1 -2 Order of Operations

Definitions To simplify a numeric expression means to replace it with its simplest name. (3 + 4 simplifies to 7) ¢ To evaluate an algebraic expression is to substitute the values for the given variables, then simplify. (when x = 2, x + 6 evaluates to 8) ¢

Powers and Exponents An exponent tells how many times a base is used as a factor. 23 (“two to the third power”) means 2· 2· 2 which equals 8 2 is the base, 3 is the exponent and 23 is called a power. ¢

Problem ¢ Simplify: Because we all need to be calculating the same way, we have an Order of Operations.

Order of Operations ¢ Parenthesis

Order of Operations ¢ Grouping symbols

Order of Operations Grouping symbols (), [ ], { }, √, ││, / ¢ Exponents ¢ Multiply or Divide (in order from left to right) ¢ Add or Subtract (in order from left to right) ¢

Order of Operations Grouping symbols (), [ ], { }, √, ││, / ¢ Exponents ¢ Multiply Divide Subtract ¢ Add ¢

Order of Operations Grouping symbols (), [ ], { }, √, ││, / ¢ Exponents ¢ Multiply or Divide (in order from left to right) ¢ Add or Subtract (in order from left to right) ¢

Order of Operations G ¢E ¢M D ¢A S ¢

Order of Operations Granny ¢ Eats ¢ My Delicious ¢ Apple Sauce ¢

Order of Operations Gourley ¢ Excused ¢ My Dumb ¢ Aunt Sally ¢

Problem 3+2· 5– 4: 4

Problem 3+2· 5– 4: 4

Problem 3+2· 5– 4: 4 3 + 10 - 4 : 4

Problem 3+2· 5– 4: 4 3 + 10 - 4 : 4

Problem 3+2· 5– 4: 4 3 + 10 - 4 : 4 3 + 10 - 1

Problem 3+2· 5– 4: 4 3 + 10 - 4 : 4 3 + 10 - 1

Problem 3+2· 5– 4: 4 3 + 10 - 4 : 4 3 + 10 - 1 13 - 1

Problem 3+2· 5– 4: 4 3 + 10 - 4 : 4 3 + 10 - 1 13 - 1

Problem 3+2· 5– 4: 4 3 + 10 - 4 : 4 3 + 10 - 1 13 - 1 12

Today’s Assignment P. 12 #1 -14, 42, 45, 48, 51, 53, 57 -58 ¢