Cube Roots
By Mayank
Class=9
Roll no.=17
•To understand cube roots, first, we must understand cubes……
HOW TO CUBE A NUMBER:
To cube a number, just multiply a number by itself 3 times.
•For e.g. 3 cubed = 33
= 3 x 3 x 3 = 27
3
3 3
Some more examples of cubes:
 4 = 64
 53
= 125
 73
= 343
 23
= 8
 13
= 1
 33
= 27
 63
= 216
 83
= 512
 93
= 729
 103
= 1000
3 CUBE
ROOTS
CUBE ROOTS
√❑
Taking the
Cube root of a
perfect cube
will give you the
dimension of
one edge of
the cube
3 3
3
√27 = 3
3
3
27
The Cube Root Symbol!!
This is the special symbol that means ‘cube root’.
It is the RADICAL symbol (used for square roots also),
with a little three to mean cube root.
This would be said, the cube root of 27 equals 3.
CUBE ROOT: Just like square roots are the opposite of squaring a number,
cube roots, are the opposite of cubing a number.
A cube root goes in the other direction:
INVERSE
OPERATIONS
43
3
x x
3
These are some of the PERFECT CUBES of whole numbers!
Finding cube roots using prime
factorisation
8000 = 2x2x2 x 2x2x2 x 5x5x5
So, 8000 = 2 x 2 x 5
3
FINDING CUBE ROOTS USING
ESTIMATION
•Step 1- Form groups of three starting
from the right most digit.
Example 17 576
FINDING CUBE ROOTS USING
ESTIMATION
•Step 2- Take 576
•The digit is 6 at one’s place.
•We will now take 6 as required cube’s one
place.
Required cube = _6
FINDING CUBE ROOTS USING
ESTIMATION
•Step 3- Then take the other group that is 17.
•Cube of 2=8 and cube of 3=27.
•So, 17 lies between 2 and 3 and the smallest number
between them is 2.
•Take 2 as required cube’s tens place
Required cube = 26 = Answer
THANKS

cubeandcuberoots.pptxB GV VVGTTFTTRFFFFCDF

  • 1.
  • 2.
    •To understand cuberoots, first, we must understand cubes…… HOW TO CUBE A NUMBER: To cube a number, just multiply a number by itself 3 times. •For e.g. 3 cubed = 33 = 3 x 3 x 3 = 27 3 3 3
  • 3.
    Some more examplesof cubes:  4 = 64  53 = 125  73 = 343  23 = 8  13 = 1  33 = 27  63 = 216  83 = 512  93 = 729  103 = 1000
  • 4.
  • 5.
    CUBE ROOTS √❑ Taking the Cuberoot of a perfect cube will give you the dimension of one edge of the cube 3 3 3 √27 = 3 3 3 27
  • 6.
    The Cube RootSymbol!! This is the special symbol that means ‘cube root’. It is the RADICAL symbol (used for square roots also), with a little three to mean cube root. This would be said, the cube root of 27 equals 3.
  • 7.
    CUBE ROOT: Justlike square roots are the opposite of squaring a number, cube roots, are the opposite of cubing a number. A cube root goes in the other direction: INVERSE OPERATIONS 43 3 x x 3
  • 8.
    These are someof the PERFECT CUBES of whole numbers!
  • 9.
    Finding cube rootsusing prime factorisation 8000 = 2x2x2 x 2x2x2 x 5x5x5 So, 8000 = 2 x 2 x 5 3
  • 10.
    FINDING CUBE ROOTSUSING ESTIMATION •Step 1- Form groups of three starting from the right most digit. Example 17 576
  • 11.
    FINDING CUBE ROOTSUSING ESTIMATION •Step 2- Take 576 •The digit is 6 at one’s place. •We will now take 6 as required cube’s one place. Required cube = _6
  • 12.
    FINDING CUBE ROOTSUSING ESTIMATION •Step 3- Then take the other group that is 17. •Cube of 2=8 and cube of 3=27. •So, 17 lies between 2 and 3 and the smallest number between them is 2. •Take 2 as required cube’s tens place Required cube = 26 = Answer
  • 13.