Cube and cube roots by manpreet

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Cube and cube roots by manpreet

  1. 1. CUBES AND CUBE ROOTS Manpreet Singh VIII-J
  2. 2. 1 2 3 4 5 6 7 8 Cubes
  3. 3. Cube Root Vocabulary index radicand radical sign
  4. 4. Cube Root  The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3.
  5. 5. What does cube root mean?  The cube root of a number is……. …. the value when multiplied by itself three times gives the original number.
  6. 6. Properties of Cube Roots  If a and b are any two whole numbers, then 3 a×b = 3 a × 3 b .  If a and b are any two whole numbers (b = 0), then 3 a/b = 3 a 3 b
  7. 7. Properties of Cube of numbers  Cube of all even natural are even. Cube of 4 = 64, which is an even number  Cube of all odd natural are odd. Cube of 3 = 27, which is even number  Cube of a natural number of the form 3n is a multiple of 27. Cube of 7 = 343, which is of the form 3n+1  Cube of a natural number of the form 3n+1 is also a number of the form 3n+1. Cube of 5 = 125, which is of the form 3n+2
  8. 8. You can also cube negative numbers  If you cube 5 you get 125: 5 5 5 = 125  If you cube -5 you get -125: -5 -5 -5 = -125 So the cube root of -125 is -5
  9. 9. Method of finding a perfect Cube  To check weather a given number is a perfect cube or not 1. Resolve the given number into prime factors. 2. Group together the triples of like prime factors. 3. If no factor is left ungrouped, the given number is a perfect cube.
  10. 10. 2 2 2 2 x 2 x 2 = 8
  11. 11. 3 x 3 x 3 = 27 3 3 3
  12. 12. Examples:       3 4 4 4 4 64  4643  because       644444 3  because 3 64 4  
  13. 13. Examples: 3 327  3 5 4 125 64        3 6216  3273  5 4 125 643  62163 
  14. 14. Examples:  33 28 aa   3515 464 yy   3412 327 mm  aa 283 3  53 15 464 yy  43 12 327 mm 
  15. 15. Not all cube roots can be simplified! • 30 is not a perfect cube. • 30 does not have a perfect cube factor. Example: 3 30 cannot be simplified! 3 30
  16. 16. Thank You for Watching this Presentation Submitted by :- Manpreet Singh

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