Exponents How they work.

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Presentation transcript:

Exponents How they work

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. 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

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? 2 3 9 =

What is the Base and Exponent in Standard Form? 3 5 125 =

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. 10 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