Topic Content:
- The Cyclic Event
- Definition of Modular Arithmetic
A good example of a cyclic event is the 12-hour clock. In the 12-hour clock arithmetic, the hour hand can move in both directions as shown in the diagram.
Example 4.1.1:
If the time is presently 9 o’clock, what would the time be in:
(i) 92 hours
(ii) 750 hours’ time?
Solution
(i) 92 hours = 92 ÷ 12 = 7 r 8
= ( 12 × 7) hrs + 8 hrs
= 9 o’clock + 8hrs
= 5 o’clock
This means the clock will start counting from 9 and turn clockwise 12 times. It will end up at 9 with an addition of 8 hours (+8 hrs).
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