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College Physics with MasteringPhysics 7th Edition by Jerry Wilson,Anthony Buffa,Bo Lou
Edition 7ISBN: 978-0321601834College Physics with MasteringPhysics 7th Edition by Jerry Wilson,Anthony Buffa,Bo Lou
Edition 7ISBN: 978-0321601834 Exercise 1
The metric system is a decimal (base-10) system, and the British system is, in part, a duodecimal (base-12) system. Discuss the ramifications if our monetary system had a duodecimal base. What would be the possible values of our coins if this were the case
Explanation
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The metric system is a base-10 (decimal) system and British system is a base-12(duodecimal) system.
In the decimal system (base-10), a dime is equal to 10 cents.
Here,
is symbol of penny.
One dollar is equal to 10 dimes.
Substitute
for dime in the above equation.
Similarly, in a duodecimal (base-12) system, a dime is equal to 12 ¢.
A dollar is equal to 12 dimes.
Substitute
for dime in the above equation.
Rewrite equation for
.
Therefore, a penny would be
of a decimal dollar.
In the decimal system (base-10), a dime is equal to 10 cents.
Here, is symbol of penny.One dollar is equal to 10 dimes.
Substitute for dime in the above equation. Similarly, in a duodecimal (base-12) system, a dime is equal to 12 ¢. A dollar is equal to 12 dimes. Substitute for dime in the above equation. Rewrite equation for . Therefore, a penny would be of a decimal dollar.
College Physics with MasteringPhysics 7th Edition by Jerry Wilson,Anthony Buffa,Bo Lou
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