Exponents
By Monica Yuskaitis
For Learning to Happen!
•Clear your desk of anything that may distract you. •Remove all other thoughts from your mind. •Pay close attention. •Try all the examples. •Ignore all other distractions.
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.
3 =3x3x3x3
4
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
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?
5
7 x 7 x 7 x 7 x 7 =7
What is the Base and the Exponent?
2
9x9= 9
How to Multiply Out an Exponent to Find the Standard Form
3 =3x3x3x3
4
9 27 81
What is the Base and Exponent in Standard Form?
4
2
= 16
What is the Base and Exponent in Standard Form?
2
3
= 8
What is the Base and Exponent in Standard Form?
3
2
= 9
What is the Base and Exponent in Standard Form?
5
3
= 125
Exponents Are Often Used in Area Problems to Show the Feet Are Squared
Length x width = area 15ft. A pool is a rectangle 30ft Length = 30 ft. Width = 15 ft. 2 Area = 30 x 15 = 450 ft.
Exponents Are Often Used in Volume Problems to Show the Centimeters Are Cubed Length x width x height = volume A box is a rectangle Length = 10 cm. 10 10 Width = 10 cm. 10 Height = 20 cm. Volume = 3 20 x 10 x 10 = 2,000 cm.
Here Are Some Areas Change Them to Exponents
40 feet squared = 40 ft. 2 2 56 sq. inches = 56 in. 2 38 m. squared = 38 m. 2 56 sq. cm. = 56 cm.
Here Are Some Volumes Change Them to Exponents
30 feet cubed = 30 ft. 3 26 cu. inches = 26 in. 44 m. cubed = 44 m.3 3 56 cu. cm. = 56 cm.
3