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Understanding Indices: An Essential Guide for Math Learners

Learn about indices, their bases, and how to read them correctly in this comprehensive guide. Explore how indices are used in multiplication, area, and volume problems with practical examples.

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Understanding Indices: An Essential Guide for Math Learners

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  1. Indices By www.2july.co.uk

  2. 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

  3. Definition of an Index • An index tells how many times the base number is multiplied by itself. Index 3 4 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. How to read an Index • This index is read three to the fourth power. index 3 4 Base

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

  7. How to read an Index • This index is read three to the 3rd power or three cubed. index 3 3 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 x 9 = 9 2

  15. 9 27 81 How to Multiply Out an Index 4 3 = 3 x 3 x 3 x 3

  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 AreasChange The Units To Indices 2 40 cm squared = 40 cm. 56 sq. m = 56 m. 38 m. squared = 38 m. 56 sq. mm. = 56 mm. 2 2 2

  23. Here Are Some VolumesChange 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

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