1. Indices By

2. 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. 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

4. 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

5. 3 How to read an Index 4 index Base
This index is read three to the fourth power. 3 4
index
Base

6. 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

7. 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

8. Read These Indices 3 2 6 7 2 3 5 4

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

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

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

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

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

14. What is the Base and the Index?9 2

15. How to Multiply Out an Index4 3
= 3 x 3 x 3 x 3 27 81 9

16. What is the number given here ?2 4 16 =

17. What is the number given here ?3 2 8 =

18. What is the number given here ?2 3 9 =

19. What is the number given here ?3 5
125 =

20. 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

21. 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

22. 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

23. Here Are Some Volumes Change The Units To Indices3
30 km cubed = 30 km.
26 cu. mm = 26 mm.
44 m. cubed = 44 m.
56 cu. cm. = 56 cm. 3 3 3