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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.
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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 • An index tells how many times the base number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3
How to read an Index • This index is read three to the power of four. index 3 4 Base
How to read an Index • This index is read three to the power of two or three squared. index 3 2 Base
How to read an Index • This index is read three to the power of three or three cubed. index 3 3 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 x 9 = 9 2
9 27 81 How to Multiply Out an Index 4 3 = 3 x 3 x 3 x 3
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 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
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