Indices

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Indices

description

Indices. Location of an Index. An index is a little number high and to the right of a regular or base number. Index. 3. 4. Base. Definition of an Index. An index tells how many times the base number is multiplied by itself. Index. 3. 4. Base. What an Index Represents. - PowerPoint PPT Presentation

Transcript of Indices

Page 1: Indices

Indices

Page 2: Indices

Location of an Index

An index is a little number high and to An index is a little number high and to the right of a regular or base number.the right of a regular or base number.

3 4Base

Index

Page 3: Indices

Definition of an Index

An index tells how many times the An index tells how many times the base number is multiplied by itself. base number is multiplied by itself.

3 4Base

Index

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What an Index Represents

An index tells how many times the An index tells how many times the base number is multiplied by itself.base number is multiplied by itself.

34= 3 x 3 x 3 x 3

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How to read an Index

This index is read This index is read three to the power of three to the power of four.four.

3 4Base

index

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How to read an Index

This index is read This index is read three to the power of three to the power of two two oror three squared. three squared.

3 2Base

index

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How to read an Index

This index is read This index is read three to the power of three to the power of three three oror three cubed. three cubed.

3 3Base

index

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Read These Indices

3 2 6 72 3 5 4

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What is the index?

2 x 2 x 2 = 23

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What is the index?

3 x 3 = 3 2

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What is the index?

5 x 5 x 5 x 5 = 54

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What is the Base and the Index?

8 x 8 x 8 x 8 = 8 4

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What is the Base and the Index?

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

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What is the Base and the Index?

9 x 9 = 9 2

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How to Multiply Out an Index

= 3 x 3 x 3 x 33

927

81

4

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What is the number given here ?

4 2= 16

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What is the number given here ?

2 3= 8

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What is the number given here ?

3 2= 9

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What is the number given here ?

5 3= 125

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Indices Are Used in Area Problems to Show the Units Used Are Squared

Length x width = areaA pool is a rectangleLength = 30 ft.Width = 15 ft.

Area = 30 x 15 = 450 ft. 2

15ft.

30ft

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Indices Are Used in Volume Problems to Show the Units Used Are Cubed

Length 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

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Here Are Some AreasChange The Units To Indices

40 cm squared = 40 cm.56 sq. m = 56 m.38 m. squared = 38 m.

56 sq. mm. = 56 mm.

2

2

2

2

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Here Are Some VolumesChange The Units To Indices

30 km cubed = 30 km.26 cu. mm = 26 mm.44 m. cubed = 44 m.

56 cu. cm. = 56 cm.

3

3

3

3