Indices

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Indices. By www.2july.co.uk. 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 you how many times the base number is multiplied by itself. Index. 3. 4. Base. - PowerPoint PPT Presentation

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Indices

By www.2july.co.ukBy www.2july.co.uk

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

Definition of an Index

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

3 4Base

Index

What an Index Represents

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

34= 3 x 3 x 3 x 3

How to read an Index

This index is read as This index is read as three to the fourth three to the fourth power.power.

3 4Base

index

How to read an Index

This index is read as This index is read as three to the 2three to the 2ndnd power power oror three squared. three squared.

3 2Base

index

How to read an Index

This index is read as This index is read as three to the 3rd three to the 3rd power power oror three cubed. three cubed.

3 3Base

index

Read These Indices

3 2 6 72 3 5 4

What is the index?

2 x 2 x 2 = 23

What is the index?

3 x 3 = 3 2

What is the index?

5 x 5 x 5 x 5 = 54

What are the base and the index?

8 x 8 x 8 x 8 = 8 4

What is the Base and the Index?

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

What are the base and the index?

9 x 9 = 9 2

How to Multiply Out an Index

= 3 x 3 x 3 x 33

927

81

4

What is the number given here ?

4 2= 16

What is the number given here ?

2 3= 8

What is the number given here ?

3 2= 9

What is the number given here ?

5 3= 125

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

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

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.

22

2

2

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