What If We Have 12 Fingers?

Our number system is called the decimal system (deci means 10) because we count in groups of 10’s. This is probably because we have 10 fingers. What do I mean when I said when we count in groups of 10? Our number system has the digits 0 to 9, and then we when we reach […]
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The Clock Arithmetic and Modular Systems Series

This is a series of posts that explains modular systems starting from an intuitive introduction using clocks. I wrote this for high school students of average mathematical ability. I hope you find the series easy to read and student friendly. The Series Part 1: Introduction to Clock Arithmetic and Modular Systems This post introduces modular arithmetic […]
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The Definition of Congruence in the Modular Systems

This is the fourth part of the Introduction to the Modular Number Systems Series. In the previous parts, we have learned intuitively the modular systems using a 12-hour analog clock, performed operations with its numbers and introduce the symbol for congruence,  and discussed the different number bases.  In this post, we formally define congruence. Recall […]
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