Exponents

Location of Exponent An exponent is a little number high and to the right of a regular or base number. 3 4 Exponent Base

Definition of Exponent An exponent tells how many times a number is multiplied by itself. 3 4 Exponent Base

What an Exponent Represents An exponent tells how many times a number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3

How to read an Exponent This exponent is read three to the fourth power. 3 4 Exponent Base

How to read an Exponent This exponent is read three to the 2nd power or three squared. 3 2 Exponent Base

How to read an Exponent This exponent is read three to the 3rd power or three cubed. 3 3 Exponent Base

Read These Exponents 3 2 6 7 2 3 5 4

What is the Exponent? 3 2 x 2 x 2 = 2

Any number to the 1st power equals that number. 6¹ = 6

Any number to the zero power equals one. 8º = 1 4º = 1 2005º = 1

What is the Exponent? 2 3 x 3 = 3

What is the Exponent? 4 5 x 5 x 5 x 5 = 5

What is the Base and the Exponent? 4 8 x 8 x 8 x 8 = 8

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? 9 2

How to Multiply Out an Exponent to Find the Standard Form 4 3 = 3 x 3 x 3 x 3 9 27 81

What is the Base and Exponent in Standard Form? 2 4 16 =

What is the Base and Exponent in Standard Form? 3 2 8 =

What is the Base and Exponent in Standard Form? 1 3 3 =

What is the Base and Exponent in Standard Form? 5 1 =

Exponents Are Often Used in Area Problems to Show the Feet Are Squared Length x width = area A pool is a rectangle Length = 30 ft. Width = 15 ft. Area = 30 x 15 = 450 ft. 15ft. 30ft 2

Length x width x height = volume A box is a rectangle Length = 10 cm. 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. Width = 10 cm. Height = 20 cm. Volume = 20 x 10 x 10 = 2,000 cm. 20 10 10 3

Here Are Some Areas Change 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 Volumes Change Them to Exponents 3 30 feet cubed = 30 ft. 26 cu. inches = 26 in. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm. 3 3 3

Exponents of Ten Notice that the number of zeros matches the exponent number 2 100 10 3 1,000 4 10,000 5 100,000

What Is the Standard Form Exponents of Ten What Is the Standard Form of These Tens? 2 100 10 3 1,000 4 10,000 5 100,000

Multiplying Multiples of Ten Multiply These Numbers 100 x 2 = 200 1,000 x 3 = 3,000 10,000 x 7 = 70,000 100,000 x 9 = 900,000

Multiplying Multiples of Ten Did you notice that all you have to do is multiply 1 x whole number & add the zeros behind? 100 x 2 = 200 1,000 x 3 = 3,000 10,000 x 7 = 70,000 100,000 x 9 = 900,000

Short Cut for Writing Large Numbers Combine these two steps for writing large numbers. 6 x 10 2 600 = 6 x (10 x 10) = 6 x 100 = 600

Short Cut for Writing Large Numbers Remember! The exponent is the same as the number of zeros. 2 6 x 10 600 =

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? 5 700,000 7 x 10 =

What is the Exponent Form? 2 500 5 x 10 =

What is the Exponent Form? 3 6,000 6 x 10 =

What is the Exponent Form? 4 90,000 9 x 10 =