exponents

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Exponents How they work How they work

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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. - PowerPoint PPT Presentation

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Page 1: Exponents

Exponents

How they workHow they work

Page 2: Exponents

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.

Page 3: 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

Page 4: Exponents

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

Page 5: Exponents

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

Page 6: Exponents

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

Page 7: Exponents

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

Page 8: Exponents

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

Page 9: Exponents

Read These Exponents

3 2 6 72 3 5 4

Page 10: Exponents

What is the Exponent?

2 x 2 x 2 = 2 3

Page 11: Exponents

What is the Exponent?

3 x 3 = 3 2

Page 12: Exponents

What is the Exponent?

5 x 5 x 5 x 5 = 5 4

Page 13: Exponents

What is the Base and the Exponent?

8 x 8 x 8 x 8 = 8 4

Page 14: Exponents

What is the Base and the Exponent?

7 x 7 x 7 x 7 x 7 =7 5

Page 15: Exponents

What is the Base and the Exponent?

9 x 9 = 9 2

Page 16: Exponents

How to Multiply Out an Exponent to Find the

Standard Form

= 3 x 3 x 3 x 33927

81

4

Page 17: Exponents

What is the Base and Exponentin Standard Form?

4 2 = 16

Page 18: Exponents

What is the Base and Exponentin Standard Form?

2 3 = 8

Page 19: Exponents

What is the Base and Exponentin Standard Form?

3 2 = 9

Page 20: Exponents

What is the Base and Exponentin Standard Form?

5 3 = 125

Page 21: Exponents

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

Page 22: Exponents

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

10

Page 23: Exponents

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

22

2

Page 24: Exponents

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

33