Transcript EXPONENTS GLE 0606.3.3 * Use exponents In order of operations. SPI 0606.3 *Use order of operations to simplify expressions and solve problems.

EXPONENTS
GLE 0606.3.3
* Use exponents In order of
operations.
SPI 0606.3
*Use order of operations to
simplify expressions and solve
problems
WHICH GIFT DO YOU WANT?
 Richie Rich celebrates his birthday on June 1st.
This year his parents have given him his choice of
gifts. He can choose ONE of the following options :
 Option 1:
 Option 2:
His parents will give him $500,000 on
June 1 st .
OR
His parents will deposit $2 in a savings
account on June 1 st . Each day they will
double the amount in that account until
the end of the month. On June 30 th Richie
can have whatever money that has
accumulated in the account.
** GOAL FOR THE DAY **
You will learn what an exponent is and
how to write and solve exponents to
represent repeated multiplication.
When you leave today, you will be able to say:
 I can write expressions using exponents.
 I can evaluate expressions containing exponents.
TAKE A LOOK AT THIS….
FACTORS
PRODUCT OF FACTORS
DESCRIPTION
2x2
4
2 is a factor 2 times
2x2x2
8
2 is a factor 3 times
2x2x2x2
16
2 is a factor 4 times
2x2x2x2x2
32
2 is a factor 5 times
2x2x2x2x2x2
64
2 is a factor 6 times
2x2x2x2x2x2x2
128
2 is a factor 7 times
2x2x2x2x2x2x2x2
256
2 is a factor 8 times
THERE’S GOT
TO BE A
BETTER WAY!
THERE IS A BETTER WAY 
Instead of writing out those factors SO
many times, we can use EXPONENTS!
Exponents will save the day and our
time!
Writing numbers in EXPONENTIAL
NOTATION is an easier way to write a
number as a product of many factors
WHAT IS AN EXPONENT?
An EXPONENT tells how many times a number
is used as a factor. This number can also be
called a POWER.
EXPONENTS will indicate how many times the
base is multiplied by itself.
A BASE is the number that is multiplied by
itself.
WHAT DOES THIS LOOK LIKE?
Exponent- indicate
how many times the
base is multiplied by
itself.
Base -
is the number that is
multiplied by itself
So the exponent 3 will tell you how many times to multiply the
base, 5, by itself. So 53 is the same as 5x5x5.
TRY SOME MORE…
Write the following expressions using
exponents:
1. 6x6x6x6
2. (-8) x (-8) x (-8)
WAIT…
REFLECTION TIME
When writing an expression in
exponential form, how do you know
which number to use as the base
and which number to use as an
exponent?
DISCUSSING FORMS FOR NUMBERS
YOUR TURN
LOOK AT THIS FIGURE
How would this look in
expanded form?
How many squares are in
this quadrilateral?
What about
exponential form?
HOW ABOUT THIS FIGURE?
How would this
look in expanded
form?
How many squares are in
this quadrilateral?
What about
exponential form?
RULES OF EXPONENTS
Rule
Example
Any number (except 0) raised to the
zero power is equal to 1.
1490 = 1
Any number raised to the first power 81 = 8
is always equal to itself.
If a number is raised to the second
power, we say that it is squared.
32 is read as three squared
If a number is raised to the third
power, we say that it is cubed.
43 is read as four cubed
EXPLAIN
CALCULATOR TIME
Calculators can be used to evaluate
exponential expressions.
Does anyone know how to insert an exponent
into their calculators?
WHAT SHOULD RICHIE RICH DO?
Let’s talk about Richie Rich’s options a little
more now…
 Option 1: His parents will give him $500,000 on
June 1 st.
Option 2: His parents will deposit $2 in a saving
account on June 1 st. Each day, they will double
the amount in that account until the end of the
month. On June 30 th, Richie can have whatever
money has accumulated in the account.
REAL-LIFE APPLICATION
Have you ever heard of square footage?
What about cubic feet and cubic meters?
All of these are ways that we use exponents
on a regular basis.
TICKET OUT THE DOOR
Answer the following question on a loose
piece of paper:
What are exponents and how do we use them
to write and solve problems with repeated
multiplication?