HOUSEKEEPING

MAP testing this week.

Unit 1 is now open. • New lesson will open each day

• Pacing guide coming soon

EXPONENTIAL NOTATION

GOAL FOR TODAY…….

Goal: Know what it means for a

number to be raised to a power and how to represent the repeated multiplication symbol

Know the reason for some bases to require parentheses

Agenda: What is

exponential notation?

How do you determine the sign of the result?

There’s an easier way!

3 + 3 + 3 + 3 + 3 =

5 x 3 =

Multiplication is an easier way of adding the same number with itself multiple times!

What if you’re multiplying the same number with itself multiple times?

3 • 3 • 3 • 3 • 3 =

Exponents are easier ways of multiplying the same number with itself multiple times!

Exponential Notation

35=243

Base

Exponent

Answer

Exponential Notation

In general, for an number x and any positive integer n

Base

Exponent

Practice Time!

Practice Time!

Practice Time!

Practice Time!

Practice Time!

Notice the use of parentheses in #2,3, and 4

Do you know why?

When should you use parentheses?

In cases where the base is either fractional or negative.

If n is a fixed positive integer, then…..

If n is a fixed positive integer, then…..

Exponential Notation

“ x raised to the nth power”

Exponential Notation

Exponential Notation

Exploration

When a negative number is raised to an odd power, what is the sign of the result?

When a negative number is raised to an even power, what is the sign of the result?

What do you think?

What do you think?

What do you think?

What do you think?

What do you think?

What do you think?

WRAP UPIt’s over already : (

Why should we bother with exponential notation? Why not just write out the multiplication?

Exponential notation is used for recording scientific notation of very large or very small quantities. It is indispensable for the clear magnitude of a number.