View
213
Download
0
Category
Preview:
Citation preview
http://www.mathslideshows.com
http://www.mathslideshows.com
For Learning to Happen!
•Remove all other thoughts from your mind.•Pay close attention to this lesson.•Try all of the examples.•Ignore all other distractions.
copyright©amberpasillas2010
An exponent is a little number high and An exponent is a little number high and to the right of a regular or base number.to the right of a regular or base number.
83
BaseExponent
copyright©amberpasillas2010
83
BaseExponent
This exponent is read This exponent is read
8 to the 3rd power, 8 to the 3rd power,
or 8 cubed.or 8 cubed.
copyright©amberpasillas2010
83
BaseExponent
An exponent tells how An exponent tells how many times a number is many times a number is multiplied by itself. multiplied by itself.
copyright©amberpasillas2010
83
BaseExponent
This exponent means This exponent means
8•8•8 = 512
copyright©amberpasillas2010
This exponent is read This exponent is read
six to the fourth power.six to the fourth power.
6 4Base
Exponent
copyright©amberpasillas2010
This exponent is read This exponent is read three to the 2three to the 2ndnd power or power or three squared.three squared.
3 2Base
Exponent
copyright©amberpasillas2010
Read These Exponents
77 to the 2nd poweror 7 squared
2
copyright©amberpasillas2010
Read These Exponents
1010 to the 3rd poweror 10 cubed
3
copyright©amberpasillas2010
What is the Exponent?
2 • 2 • 2 = 23
copyright©amberpasillas2010
What is the Exponent?
a • a • a • a = a4
copyright©amberpasillas2010
What is the Exponent?
(bc)(bc)(bc) = (bc)3
NOTICE that you keep the parenthesis around the variables (bc) because you are cubing all the (bc)
copyright©amberpasillas2010
Write the Verbal PhasePower Verbal Phrase Means
27 “Seven to the 2nd power” 7 7“Seven squared”
35 “Five to the 3rd power” 5 5 5 “Five cubed”
49
125
copyright©amberpasillas2010
Write the Verbal PhasePower Verbal Phrase Meaning
49 “Nine to the 4th power” 9 9 9 9
52 “Two to the 5th power”2 2 2 2 2
copyright©amberpasillas2010
How to Multiply Out Exponents
= 3 • 3 • 3 • 33
927
81
4
copyright©amberpasillas2010
How to Multiply Out Exponents
= 2 • 2 • 2 • 2 • 22
48
16
5
32
http://www.mathslideshows.com
An exponent tells how many times a number is multiplied by itself.
83Base
Exponent
#1
Factored Form
3 • 3 • a • a • a
Exponential Form
32a
3
x • y • x • 2 2x
2y
1
8•8•8 = 512
22 3
2 23 3 4
9
http://www.mathslideshows.com
#3
1)
2)
3)
4)
25
42
310
212
5 5 25
2 2 2 2 16
10 10 10 1000
12 12 144
To find 54 on my calculator I type in 5 4^ = 625
5 yx 4 = 625
xy
x
5 4 = 625
5 4 = 625
Circle the method that works on your calculator!
copyright©amberpasillas2010
Evaluate the Power“Evaluate” mean to solve!
1)
2)
3)
4)
25
42
310
212
5 5 25
2 2 2 2 16
10 10 10 1000
12 12 144
copyright©amberpasillas2010
7 units3
Addition:-One-Dimensional Growth
+ =+ 4 =
Multiplication: Two-Dimensional Growth
“Three added to four”
“Three times four” or “Three groups of four”
+ + =
+4 +4 4= 12 square units3(4)=
Multiplication is Repeated Addition
copyright©amberpasillas2010
Exponents: Three-Dimensional Growth
“Three to the third power”“Three to the fourth power”
3 33 33 3 3 3
327 un
43 3 3 3 3 381 un
Exponents is Repeated Multiplication
copyright©amberpasillas2010
Perimeter Area Volume 5
5
5
5
P = s+s+s+sP = 4s
P=4 5P=20 units
5
5
2A =s2A =5
A =25 2units
3V =s3V =5
V =125 3units
OneDimensional
TwoDimensional
ThreeDimensional
“Five Squared” “Five Cubed”
5 5
5
copyright©amberpasillas2010
Check the last slide to make sure your notes are complete
copyright©amberpasillas2010
Exponents & PowersAn exponent or power tells how manytimes a number is multiplied by itself.
34
BaseExponent
#1
25 “Five to the 2nd power” 5 5“Five squared”
37 “Seven to the 3rd power” 7 7 7 “Seven cubed”
http://www.mathslideshows.com
#2
1)
2)
3)
4)
25
42
310
212
5 5 25
2 2 2 2 16
10 10 10 1000
12 12 144
Recommended