Practice Multiplication Rules - 7.4.3.2 | 7. Lecture - 55: Modular Arithmetic | Discrete Mathematics - Vol 3
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Multiplication Rules

7.4.3.2 - Multiplication Rules

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is 7 modulo 3?

💡 Hint: Subtract multiples of 3 from 7.

Question 2 Easy

Calculate -10 mod 4.

💡 Hint: Think about where -10 lies on a number line mod 4.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the result of 8 mod 5?

3
2
1

💡 Hint: Subtract 5 from 8 and see where you land.

Question 2

Is -7 congruent to 1 mod 4?

True
False

💡 Hint: Check by calculating the remainders.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using the square and multiply method, calculate 2^15 mod 17.

💡 Hint: Remember to calculate powers based on binary digits!

Challenge 2 Hard

Explain why (a / b) modulo N is not defined generally. Give an example in your explanation.

💡 Hint: Consider cases where the numerator is smaller than the denominator.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.