Terminology

Section 1.8 Exponential Notation andOrder of Operations

In the information above:

“b” is called the base“n” is the exponent or power

Example: 43 This format is referred to as exponential notation.4 is the base3 is the exponent or power

It is read as: “4 to the 3rd”“4 to the power of 3” “4 to the 3rd power”“4 raised to the 3rd”

It means: 4 times itself 3 times ( )It equals 64. 64 can be referred to as a power of 4.

Order of Operations

Example:

Rules for Order of Operations1. Calculate within the innermost grouping symbols, ( ), [ ], { }, | |, and

above or below fraction bars.2. Simplify all exponential expressions.3. Perform all multiplication and division, working from left to right.4. Perform all addition and subtraction, working from left to right.

Here are some problems you might find to be “tricky.”

23 -23 (-2)3 (-23) -(23) -(-23) -(-2)3

24 -24 (-2)4 (-24) -(24) -(-24) -(-2)4

30 -30

(-3)0 (-30) 41 -41 (-4)1 01 00

Examples:

Homework: MLP (MyLabsPlus) and the following problems from the text.1, 2 all parts Write down the problem and give the answer.111 Answer the question and justify your answer.112 Write down the problem and answer the question.117 Copy the expression and solve in a top down manner.127 Copy the expression, substitute in the value, solve in a top down manner.133 Calculate the volume. Explain how you got your answer.

MLP problems, MLP quiz and Text problems due _____________ 8 AM