The concept of digital root is one of the most neat and easy
concept in Mathematics. It helps explain many problems and further exemplifies
the beauty of Math.

Digital Root of any number is the smallest

**that one obtains upon adding all the numbers present in a number. The digital root of 39, for instance is 3+9=12=1+2=3.**__single digit number__
Digital Root showcases the beauty of Mathematics because the
numbers of all the major sequences and series, like squares, cubes, Fibonacci
series et al show a repetitive pattern in their digital root:

**SQUARES**

SQUARE |
DIGITAL ROOT |

1 |
1 |

4 |
4 |

9 |
9 |

16 |
7 |

25 |
7 |

36 |
9 |

49 |
4 |

64 |
1 |

81 |
9 |

100 |
1 |

121 |
4 |

144 |
9 |

169 |
7 |

If one observes closely, the digital root starts showing a
repetition after 9, i.e. a set of 9 consecutive square numbers shows this
repetitive pattern. So, the next set showing this pattern will be from 10-18,
then 19-28 and so on...

**CUBES**

CUBE |
DIGITAL ROOT |

1 |
1 |

8 |
8 |

27 |
9 |

64 |
1 |

125 |
8 |

216 |
9 |

343 |
1 |

512 |
8 |

729 |
9 |

1000 |
1 |

1331 |
8 |

1728 |
9 |

Cubes follow an even shorter pattern; a set of only 3
consecutive cubes i.e. 1-3, 4-6 and so on...

**INTERESTING FACTS**

·

- If you are careful enough, you might have seen that if 9 is added to any number ‘n’, the digital root of the sum will be equal to digit root of ‘n’. In simpler words, the addition of 9 to a number doesn't produce a change in the digital root.
- The
above fact helps us locate a multiple of 9. So if someone asks you for a
multiple of 9 closest to the number 37218, simply obtain the digital root of
37218 (3) and then you have two options, you can either add 6 to get 9, or subtract
3 from the number; but because we are concerned with the
number, we must subtract 3, which gives us 37215 whose digital root is 9, hence proving that it is a multiple of 9. This particular method is very useful in larger numbers*closest*

·

**FUN FACT-**
After lots of adding up and
messy calculations, we both found out that

**14 or FOURTEEN**is the first number whose digital root is equal to the digital root of the numerical values of the alphabets of its spellings!!! They both equal 5!

*We encourage our readers to perform their own operations and share any observations with the Mathematics world via our blog!!*

nice,,,

ReplyDeletei want to share something to u about number square

http://www.math-worksheets.co.uk/using-a-number-square-in-year-2/