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It is much like writing the terms for different base systems when converting. If we wanted to write that 4 + 3 = 1 on a 6 hour clock, we would write (4 + 3) mod 6 = 1. The "mod 6" tells us that we are doing clock arithmetic on a 6 hour clock. "Mod" is shorthand for the word "modulus" which is a Latin word for stating how long you have to go before reaching your starting point or origin...

Other examples would be; (11 + 5) mod 12 = 4, (8 + 4) mod 10 = 2 and (2 - 3) mod 5 = 4.

It was said that using clock arithmetic in the classroom during the early years of grade school is a very good way to sharpen skills of deduction and perception. And logically it should be used to get children to start learning how to tell time, which is an important skill that will be needed in years to follow...

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