Download Exponent

Warm Up
• Write down objective and homework in
agenda
• Lay out homework (Real Number Color Sheet)
• Homework (WB 2-6)
Unit 3 Common Core Standards
• 8.EE.1 Know and apply the properties of integer
exponents to generate equivalent numerical
expressions.
• MP.3 Construct viable arguments and critique the
reasoning of others.
• MP.4 Model with mathematics.
• MP.6 Attend to precision.
• MP.7 Look for and make use of structure.
• MP.8 Look for and express regularity in repeated
reasoning.
Warm up
Write down ALL the names that apply for each!!!
Exponents
• What do you remember?!
Vocabulary
• Base: When a number is raised to a power,
the number that is used as a factor.
• Exponent: The number that indicates how
many times the base is used as a factor.
• Evaluate: To find the value of a numerical or
algebraic expression.
• Exponential form: A number is written in
exponential form when it has a base and an
exponent.
Location of Exponent
• An exponent is a little number high and
to the right of a regular or base number.
Base
3
4
Exponent
Definition of Exponent
• An exponent tells how many times
a number is multiplied by itself.
Base
3
4
Exponent
What an Exponent Represents
• An exponent tells how many times
a number is multiplied by itself.
4
3 =3x3x3x3
How to read an Exponent
• This exponent is read three to the
fourth power.
Base
3
4
Exponent
How to read an Exponent
• This exponent is read three to the
2nd power or three squared.
Base
3
2
Exponent
How to read an Exponent
• This exponent is read three to the
3rd power or three cubed.
Base
3
3
Exponent
Read These Exponents
3 2 6 7
2
3
5
4
IMPORTANT EXAMPLES
 3 means  (3  3  3  3)  81
4
(3) 4 means (3)  (3)  (3)  (3)  81
 3 means  (3  3  3)  27
3
(3) means (3)  (3)  (3)  27
3
What is the Exponent?
2x2x2= 2
3
What is the Exponent?
3x3= 3
2
What is the Exponent?
5x5x5x5= 5
4
What is the Base and the Exponent?
8x8x8x8= 8
4
What is the Base and the Exponent?
7x7x7x7x7= 7
5
What is the Base and the Exponent?
9x9= 9
2
What is the Base and the Exponent?
9 x 9 x 8 x 8 x 8=
2
9
•
3
8
What is the Base and the Exponent?
3x3x3x5x5x7x7
3
3
•
2
5 •
2
7
How to Multiply Out an Exponent to
Find the
Standard Form
4
3 =3x3x3x3
9
27
81
What is the Base and Exponent
in Standard Form?
4
2
= 16
What is the Base and Exponent
in Standard Form?
3
(-2) = -8
What is the Base and Exponent
in Standard Form?
3
2
= 9
What is the Base and Exponent
in Standard Form?
3
-(5) = -125
Evaluate
• (-4)4
• 35
• (-6)3
Simplify
• 42 + 14
• Use the order of operations!!!
– (Parenthesis, Exponents, Multiplication, Division,
Addition, Subtraction)
• 16 + 14
• 30
Simplify
•
•
•
•
(-8)2 • 2 – 4
33 – 22
(-6)2 + 32
92 - 52
Evaluate
• x4 for x = 2
• 3y2 for y = 3
• w2 for w = -5
Extra Help/Practice
• http://www.regentsprep.org/Regents/math/A
LGEBRA/AO5/PracExpShort.htm
• http://www.regentsprep.org/Regents/math/A
LGEBRA/AO5/PExp.htm