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Exponents

Exponents. 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. What an Exponent Represents.

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Exponents

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  1. Exponents

  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? 3 2 x 2 x 2 = 2

  10. Any number to the 1st power equals that number. 6¹ = 6

  11. Any number to the zero power equals one. 8º = 1 4º = 1 2005º = 1

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

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

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

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

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

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

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

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

  20. What is the Base and Exponentin Standard Form? 1 3 3 =

  21. What is the Base and Exponentin Standard Form? 0 5 1 =

  22. 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

  23. 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. 20 10 10 3

  24. 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

  25. 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

  26. Exponents of Ten Notice that the number of zeros matches the exponent number 2 100 10 10 10 10 3 1,000 4 10,000 5 100,000

  27. Exponents of Ten What Is the Standard Form of These Tens? 2 100 10 10 10 10 3 1,000 4 10,000 5 100,000

  28. Multiplying Multiples of Ten Multiply These Numbers 100 x 2 = 200 1,000 x 3 = 3,000 10,000 x 7 = 70,000 100,000 x 9 = 900,000

  29. Multiplying Multiples of Ten Did you notice that all you have to do is multiply 1 x whole number & add the zeros behind? 100 x 2 = 200 1,000 x 3 = 3,000 10,000 x 7 = 70,000 100,000 x 9 = 900,000

  30. Short Cut for Writing Large Numbers Combine these two steps for writing large numbers. 6 x 10 2 600 = 6 x (10 x 10) = 6 x 100 = 600

  31. Short Cut for Writing Large Numbers Remember! The exponent is the same as the number of zeros. 2 6 x 10 600 =

  32. What is the Standard Number? 7 x 10 2 700 =

  33. What is the Standard Number? 8 x 10 3 8,000 =

  34. What is the Standard Number? 9 x 10 4 90,000 =

  35. What is the Standard Number? 4 x 10 2 400 =

  36. What is the Exponent Form? 5 700,000 7 x 10 =

  37. What is the Exponent Form? 2 500 5 x 10 =

  38. What is the Exponent Form? 3 6,000 6 x 10 =

  39. What is the Exponent Form? 4 90,000 9 x 10 =

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