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News from Mathnasium of Redwood City

Festive Friday Math!

Dec 1, 2017

Math by the Dozen!

By Joshua Ruddock


The start of a new month and a new wave of Math Problems! Did you know that December used to be the tenth month of the year? That's why it's called 'Dec'-ember! Otherwise we'd be calling it Duodecember... but todays math problem focuses on just that!

The Duodecimal system is a base 12 system with famous advocates throughout time!

Here's an example of how the numbers work and a multiplication times table for the duodecimal system

The duodecimal system is a bit confusing since it has a new base for it's number system (decimal is base 10, duodecimal is base 12)

The numbers from '0' to '10'

Zero One Two Three Four Five Six Seven Eight Nine Dek El Do

Additionally, if one wanted to say [17] in the duodecimal system, they would say 15 or one-do-five (one "do" or [12] and "five" more) and the number [23] would be one-do-el (12 and eleven more); whereas [24] would be two-do (two twelves)... three-do has a decimal value of [36] and so on

Today's Problem is a simple one:

100 - 84 + 25
  • What's the answer in the duodecimal system?
  • Now, take your answer and convert it to the decimal system!

I hope you all enjoyed this month's first math problem! Merry Christmas and Happy Holidays!