Understanding Mod 12 Arithmetic

The video tutorial explains how to use clock arithmetic, specifically mod 12 arithmetic, to find differences between numbers. It demonstrates two examples: 9 - 14 and 3 - 29, using mod 12 arithmetic. The tutorial shows how to calculate these differences using two techniques and verifies the results using a clock. It also explains how to handle negative numbers in mod 12 arithmetic, ensuring the remainder is positive.

What is the primary purpose of using mod 12 arithmetic in this lesson?

• To solve complex algebraic equations

• To simplify multiplication problems

• To find differences in time calculations

• To convert decimal numbers to binary

In the example of 9 - 14 using mod 12, what is the result?

• 11

• 9

• 7

• 5

When using mod 12 arithmetic, what is the remainder when 14 is divided by 12?

• 3

• 2

• 4

• 1

How do you interpret a negative result in mod 12 arithmetic?

• As zero

• As a negative number with a remainder

• As a fraction

• As a positive number with a remainder

What is the equivalent positive remainder for -5 mod 12?

• 5

• 6

• 7

• 8

In the example of 3 - 29 using mod 12, what is the result?

• 8

• 11

• 9

• 10

What is the remainder when 29 is divided by 12?

• 6

• 5

• 4

• 3

How many complete rotations are needed when modeling 3 - 29 on a clock?

• Three

• Two

• Four

• One

What is the alternative technique used for solving 3 - 29 in mod 12 arithmetic?

• Subtracting 12 from the result

• Adding 12 to the result

• Finding the difference first

• Multiplying by 12

What is the equivalent positive remainder for -26 mod 12?

• 8

• 11

• 9

• 10