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Exponents
Location of Exponent
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.
3 4Base
Exponent
Definition of Exponent
An exponent tells how many times An exponent tells how many times a number is multiplied by itself. a number is multiplied by itself.
3 4Base
Exponent
What an Exponent Represents
An exponent tells how many times An exponent tells how many times a number is multiplied by itself.a number is multiplied by itself.
34= 3 x 3 x 3 x 3
How to read an Exponent
This exponent is read This exponent is read three to the three to the fourth power.fourth power.
3 4Base
Exponent
How to read an Exponent
This exponent is read This exponent is read three to the three to the 22ndnd power power oror three squared. three squared.
3 2Base
Exponent
How to read an Exponent
This exponent is read This exponent is read three to the three to the 3rd power 3rd power oror three cubed. three cubed.
3 3Base
Exponent
Read These Exponents
3 2 6 72 3 5 4
What is the Exponent?
2 x 2 x 2 = 23
Any number to the 1st power equals that number.
66¹ = 6¹ = 6
Any number to the zero power equals one.
88º = 1º = 14º = 14º = 1
2005º = 12005º = 1
What is the Exponent?
3 x 3 = 3 2
What is the Exponent?
5 x 5 x 5 x 5 = 54
What is the Base and the Exponent?
8 x 8 x 8 x 8 = 8 4
What is the Base and the Exponent?
7 x 7 x 7 x 7 x 7 =7 5
What is the Base and the Exponent?
9 x 9 = 9 2
How to Multiply Out an Exponent to Find the
Standard Form
= 3 x 3 x 3 x 33
927
81
4
What is the Base and Exponentin Standard Form?
4 2= 16
What is the Base and Exponentin Standard Form?
2 3= 8
What is the Base and Exponentin Standard Form?
3 1= 3
What is the Base and Exponentin Standard Form?
5 0= 1
Exponents Are Often Used inArea Problems to Show the
Feet Are Squared
Length x width = areaA pool is a rectangleLength = 30 ft.Width = 15 ft.Area = 30 x 15 = 450 ft. 2
15ft.
30ft
Exponents Are Often Used inVolume Problems to Show the
Centimeters Are CubedLength x width x height = volumeA box is a rectangleLength = 10 cm.Width = 10 cm.Height = 20 cm.Volume =
20 x 10 x 10 = 2,000 cm.3
10
10
20
Here Are Some AreasChange Them to Exponents
40 feet squared = 40 ft.56 sq. inches = 56 in.38 m. squared = 38 m.56 sq. cm. = 56 cm.
2
2
2
2
Here Are Some VolumesChange Them to Exponents
30 feet cubed = 30 ft.26 cu. inches = 26 in.44 m. cubed = 44 m.56 cu. cm. = 56 cm.
3
3
3
3
Exponents of TenNotice that the number of zerosNotice that the number of zerosmatches the exponent numbermatches the exponent number
210101010
34
5
1001,00010,000100,000
Exponents of TenWhat Is the Standard Form What Is the Standard Form
of These Tens?of These Tens?
210101010
34
5
1001,00010,000100,000
Multiplying Multiples of Ten
Multiply These NumbersMultiply These Numbers
100 x 2 =
1,000 x 3 =
10,000 x 7 =
100,000 x 9 =
200
3,000
70,000
900,000
Multiplying Multiples of TenDid you notice that all you Did you notice that all you
have to do is multiply 1 x wholehave to do is multiply 1 x wholenumber & add the zeros behind?number & add the zeros behind?
100 x 2 =1,000 x 3 =10,000 x 7 =100,000 x 9 =
2003,000
70,000900,000
Short Cut for Writing Large Numbers
Combine these two steps forCombine these two steps forwriting large numbers.writing large numbers.
6 x 10 2 =
6 x (10 x 10) = 6 x 100 = 600
600
Short Cut for Writing Large Numbers
Remember!Remember!The exponent is the same as the The exponent is the same as the
number of zeros.number of zeros.
6 x 10 2
= 600
What is the Standard Number?
7 x 10 2 = 700
What is the Standard Number?
8 x 10 3 = 8,000
What is the Standard Number?
9 x 10 4 = 90,000
What is the Standard Number?
4 x 10 2 = 400
What is the Exponent Form?
7 x 10 5
=700,000
What is the Exponent Form?
5 x 10 2
=500
What is the Exponent Form?
6 x 10 3
=6,000
What is the Exponent Form?
9 x 10 4
=90,000
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