Indices By www.2july.co.uk.

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Presentation transcript:

Indices By www.2july.co.uk

3 Location of an Index 4 Index Base An index is a little number high and to the right of a regular or base number. 3 4 Index Base

3 Definition of an Index 4 Index Base An index tells how many times the base number is multiplied by itself. 3 4 Index Base

What an Index Represents An index tells how many times the base number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3

3 How to read an Index 4 index Base This index is read three to the fourth power. 3 4 index Base

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

3 How to read an Index 3 index Base This index is read three to the 3rd power or three cubed. 3 3 index Base

Read These Indices 3 2 6 7 2 3 5 4

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

What is the index? 2 3 x 3 = 3

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

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

What is the Base and the Index? 5 7 x 7 x 7 x 7 x 7 = 7

What is the Base and the Index? 9 2

How to Multiply Out an Index 4 3 = 3 x 3 x 3 x 3 27 81 9

What is the number given here ? 2 4 16 =

What is the number given here ? 3 2 8 =

What is the number given here ? 2 3 9 =

What is the number given here ? 3 5 125 =

Indices Are Used in Area Problems to Show the Units Used 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

Indices Are Used in Volume Problems to Show the Units Used 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 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

Here Are Some Volumes Change The Units To Indices 3 30 km cubed = 30 km. 26 cu. mm = 26 mm. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm. 3 3 3