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Exponents

Exponents. How they work. For Learning to Happen!. Clear your desk of anything that may distract you. Remove all other thoughts from your mind. Pay close attention. Try all the examples. Ignore all other distractions. Location of Exponent.

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Exponents

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  1. Exponents How they work

  2. For Learning to Happen! • Clear your desk of anything that may • distract you. • Remove all other thoughts from your • mind. • Pay close attention. • Try all the examples. • Ignore all other distractions.

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

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

  5. 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

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

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

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

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

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

  11. What is the Exponent? 2 3 x 3 = 3

  12. What is the Exponent? 4 5 x 5 x 5 x 5 = 5

  13. What is the Base and the Exponent? 4 8 x 8 x 8 x 8 = 8

  14. What is the Base and the Exponent? 5 7 x 7 x 7 x 7 x 7 = 7

  15. What is the Base and the Exponent? 9 x 9 = 9 2

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

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

  18. What is the Base and Exponentin Standard Form? 3 2 8 =

  19. What is the Base and Exponentin Standard Form? 2 3 9 =

  20. What is the Base and Exponentin Standard Form? 3 5 125 =

  21. 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. 15ft. 30ft 2

  22. 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 = 20 cm. Volume = 20 x 10 x 10 = 2,000 cm. 10 10 10 3

  23. Here Are Some AreasChange Them to Exponents 2 40 feet squared = 40 ft. 56 sq. inches = 56 in. 38 m. squared = 38 m. 56 sq. cm. = 56 cm. 2 2 2

  24. Here Are Some VolumesChange Them to Exponents 3 30 feet cubed = 30 ft. 26 cu. inches = 26 in. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm. 3 3 3

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