Clock Arithmetic Exploration Questions
Clocks can be used to explain modular arithmetic. Answer the following questions,
using the activity to check your work:
 What is the clock time for 22 hours on a 12 hour world? on a 10 hour world?
 What is the clock time for 54 hours on a 6 hours world? on a 9 hour world?
on a 17 hour world?
 It is 8 o'clock on our 22 hour world. What time is it on a 3 hour world? on
a 5 hour world?
 It is 15 o'clock on our 31 hour world. What time is it on a 3 hour world? on
a 5 hour world?
 It is 15 o'clock on our 31 hour world. What time is it
on a 3 hour world? on a 5 hour world?
 Now can you find two
different worlds that 78 hours is 6 o'clock? 4 o'clock? Explain.
 Now can you find two different worlds that 16 hours is 4 o'clock?
Explain.
 Our school is on a twelve hour day but the military is on a 24
hour clock. Why do you think that schools use one clock and the military
uses a different one? What are the advantages and disadvantages of
each?
