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Exponents

Exponents . September 2, 2009. Location of Exponent. An exponent is a little number high and to the right of a regular or base number. Exponent. 3. 4. Base. Definition of Exponent. An exponent tells how many times a number is multiplied by itself. . Exponent. 3. 4. Base.

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Exponents

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  1. Exponents September 2, 2009

  2. Location of Exponent • An exponent is a little number high and to the right of a regular or base number. Exponent 3 4 Base

  3. Definition of Exponent • An exponent tells how many times a number is multiplied by itself. Exponent 3 4 Base

  4. What an Exponent Represents • An exponent tells how many times a number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3

  5. How to read an Exponent • This exponent is read three to the fourth power. Exponent 3 4 Base

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

  7. How to read an Exponent • This exponent is read three to the 3rd power or three cubed. Exponent 3 3 Base

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

  9. What is the Exponent? 2 x 2 x 2 = 2

  10. What is the Exponent? 3 x 3 = 3

  11. What is the Exponent? 5 x 5 x 5 x 5 = 5

  12. What is the Base and the Exponent? 8 x 8 x 8 x 8 =

  13. What is the Base and the Exponent? 7 x 7 x 7 x 7 x 7 =

  14. What is the Base and the Exponent? 9 x 9 =

  15. How to Multiply Out an Exponent to Find theStandard Form 4 3 = 3 x 3 x 3 x 3 9 27 81

  16. What is the Base and Exponentin Standard Form? 2 4 =

  17. What is the Base and Exponentin Standard Form? 3 2 =

  18. What is the Base and Exponentin Standard Form? 2 3 =

  19. What is the Base and Exponentin Standard Form? 3 5 =

  20. Exponents Are Often Used inArea Problems to Show theFeet Are Squared Length x width = area A pool is a rectangle Length = 30 ft. Width = 15 ft. Area = 30 x 15 = 450 ft.2 15ft. 30ft

  21. Exponents Are Often Used inVolume Problems to Show theCentimeters Are Cubed Length x width x height = volume A box is a rectangle Length = 10 cm. Width = 10 cm. Height = 10 cm. Volume = 10 x 10 x 10 = 1,000 cm.3 10 10 10

  22. Here Are Some AreasChange Them to Exponents 40 feet squared = 40 ft. 56 sq. inches = 56 in. 38 m. squared = 38 m. 56 sq. cm. = 56 cm.

  23. Here Are Some VolumesChange Them to Exponents 30 feet cubed = 30 ft. 26 cu. inches = 26 in. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm.

  24. Expanded Form Expanded Form: 87,415 80,000+7,000+400+10+5 or (8x10,000)+(7x1,000)+(4x100)+(1x10)+5 Expanded form using exponents (8x104)+(7x103)+(4x10 2)+(1x101)+(5x100) *** Any numbernot zero raised to the zero power = 1

  25. Practice Expanded Form with Exponents 9,368 15,974 2,397,067

  26. Answers • 9,368 (9x103)+ (3x 102)+ (6x101)+ (8x100) • 15,974 (1x104)+ (5x103)+ (9x102)+ (7x101)+ (4x100) • 2,397,067 (2x106)+ (3x105)+ (9x104)+ (7x103)+(6x101)+ (7x100)

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