Understanding the Modulo Operator

This video tutorial introduces the modulo operator, explaining its function in returning the remainder of a division. It covers the division algorithm, showing how any two integers can be expressed in terms of a quotient and remainder. The tutorial provides several examples of modulo calculations, including using an analog clock to visualize modulo operations. The video concludes with additional examples to reinforce understanding.

What does the modulo operator return when dividing two numbers?

• The remainder

• The dividend

• The divisor

• The quotient

How is the division algorithm expressed in terms of a, b, q, and r?

• a = b * q + r

• a = q * r + b

• b = a * q + r

• r = a * b + q

If 7 is divided by 3, what is the result of 7 mod 3?

• 0

• 1

• 2

• 3

What is the remainder when 14 is divided by 5?

• 1

• 4

• 2

• 3

Using an analog clock, what is 15 mod 12?

• 3

• 2

• 1

• 0

What is the result of 33 mod 12?

• 10

• 9

• 8

• 7

What is the remainder when 25 is divided by 7?

• 5

• 4

• 3

• 2

How many 12s are in 47, and what is the remainder?

• 3 with a remainder of 12

• 4 with a remainder of 11

• 3 with a remainder of 11

• 4 with a remainder of 12

What is the result of 123 mod 10?

• 0

• 1

• 2

• 3

If 483 is divided by 15, what is the remainder?

• 1

• 2

• 3

• 4