# The Digits in Halves of Even Numbers

## Depending on the tens' digit of an even number, its half will either have 1 specific digit or another in the ones' column; these 2 possible digits always have a difference of 5 in absolute value!

#### Miss Five of the Digit Family

__Observe the table below:__

Digit in tens' column isâ€¦ |
Digit in ones' column |
Ones' digit in even number's half |

Even |
0 |
0 |

Odd |
0 |
5 |

Even |
2 |
1 |

Odd |
2 |
6 |

Even |
4 |
2 |

Odd |
4 |
7 |

Even |
6 |
3 |

Odd |
6 |
8 |

Even |
8 |
4 |

Odd |
8 |
9 |

__Examples:__

12 ÷ 2 = 6

22 ÷ 2 = 11

02 ÷ 2 = 1

Can you tell why I put that padding zero there? That's right! Zero is an even number, so the digit in the ones' column of the half is **1**! If the even number has a single digit, then the tens' column digit is automatically equal to **zero(0)**! But let's add a digit in the hundreds' column!

Voila! We still have the digit **1** in the ones' column of the half! Including a hundreds' column, or a thousands' column and so on won't make a difference in this math trick! The table above remains correct no matter how many digit columns you include! The trick focuses on __the tens' column & the ones' column.__

14 ÷ 2 = 7

64 ÷ 2 = 32

306 ÷ 2 = 153

836 ÷ 2 = 418

88 ÷ 2 = 44

158 ÷ 2 = 79

370 ÷ 2 = 185

480 ÷ 2 = 240

Look at the ones' & tens' digits in the dividends, then the ones' digit in the quotients. (All of the quotients are halves to the dividends since each dividend is divided by **2**)

It doesn't matter how digits the even integer has! The table above remains accurate about its half!

1,006 ÷ 2 = 503

10,006 ÷ 2 = 5,003

250,006 ÷ 2 = 125,003

175,036 ÷ 2 = 87,518

630,000,036 ÷ 2 = 315,000,018

Back to Index Page Back to Math Trick Menu

© Derek Cumberbatch