Number System || Finding Remainder ? (LESSON-4)

TL;DR

Learn to find remainders in competitive exam questions.

Transcript

first of all thanks for being here in my youtube channel so in this lesson number four on the topic number system now we are going to learn a concept called a reminder theorem so reminder theorem is nothing but to find a reminder of the number usually they will give some sort of question for example 23 power 5 divided by 5 so we have to solve the q... Read More

Key Insights

• The lesson focuses on the remainder theorem, crucial for competitive exams like CAT, GATE, and SSC.
• Remainder theorem is divided into normal numbers and polynomial numbers, with emphasis on normal numbers in this video.
• For normal numbers, practice mental calculations to find remainders quickly without traditional division methods.
• Understanding power calculations, such as 2^5 or 3^5, is essential for solving complex remainder questions.
• The video demonstrates solving remainder problems using examples, emphasizing mental math over lengthy calculations.
• The importance of checking that the remainder is always smaller than the divisor is highlighted.
• Advanced questions involve breaking down large powers into smaller, manageable parts using known powers and multiples.
• The video encourages consistent practice to master the remainder theorem for competitive exams.

Questions & Answers

Q: What is the main focus of this video lesson?

The main focus of this video lesson is the remainder theorem, particularly for normal numbers, which is crucial for competitive exams like CAT, GATE, and SSC. The lesson emphasizes using mental math to find remainders quickly and efficiently without relying on traditional division methods.

Q: How is the remainder theorem divided in the lesson?

The remainder theorem in the lesson is divided into two categories: finding remainders for normal numbers and polynomial numbers. This particular video focuses on normal numbers, while a subsequent video will cover polynomial numbers. The lesson stresses the importance of mastering both categories for competitive exams.

Q: What mathematical skills are emphasized for solving remainder problems?

The video emphasizes the importance of understanding power calculations, such as 2^5 or 3^5, as these are essential for solving complex remainder questions. It also highlights the need for mental calculations to quickly find remainders and avoid lengthy traditional division methods.

Q: Why is it important to check the remainder against the divisor?

It is important to check that the remainder is always smaller than the divisor to ensure the accuracy of the solution. This check prevents errors in calculations and ensures that the remainder theorem is applied correctly, as emphasized in the video.

Q: What is the recommended approach for solving advanced remainder questions?

For advanced remainder questions, the video recommends breaking down large powers into smaller, manageable parts using known powers and multiples. This approach simplifies the problem and makes it easier to find the remainder through mental math, as demonstrated with several examples in the video.

Q: What is the significance of practice according to the video?

The video stresses that consistent practice is crucial to mastering the remainder theorem, especially for competitive exams. It encourages viewers to practice solving numerous questions to become proficient in quickly finding remainders using mental math techniques.

Q: How does the video suggest handling confusion with different methods?

The video suggests that viewers should focus on learning one method thoroughly to avoid confusion, as some books may present problems using negative values. By sticking to one consistent method, students can build confidence and accuracy in solving remainder problems.

Q: What is the ultimate goal of the video lesson?

The ultimate goal of the video lesson is to equip viewers with the skills and techniques necessary to efficiently solve remainder problems in competitive exams. By mastering the remainder theorem and practicing mental math, students can enhance their problem-solving abilities and improve their performance in exams.

Summary & Key Takeaways

• The video teaches the remainder theorem, crucial for exams like CAT and GATE, focusing on normal numbers. It emphasizes mental math to find remainders quickly without traditional methods.

• Understanding powers like 2^5 or 3^5 is essential. The video shows solving remainder problems using examples, stressing mental math over lengthy calculations.

• It highlights the need to check that remainders are smaller than divisors and encourages consistent practice to master the remainder theorem for competitive exams.