Number System || Divisibility Rule (LESSON-2) Tricks to Learn

Summary

In this instructional video, the speaker discusses various divisibility rules for numbers, emphasizing the importance of understanding these rules for competitive exam preparation. They cover rules for numbers like 2, 3, 4, 5, 6, 8, 9, and 11, providing clear examples to illustrate each rule. The speaker stresses that mastering these rules can simplify complex calculations and encourages viewers to practice extensively. By applying these rules, students can enhance their problem-solving skills, making challenging math problems more manageable. The video concludes with an invitation to subscribe for more shortcuts and strategies.

Takeaways

• 😀 Understanding divisibility rules simplifies complex calculations.
• 📏 The divisibility rule for 2 states that a number is divisible if its last digit is even.
• 🔢 To check divisibility by 3, the sum of the digits must be divisible by 3.
• ✔️ A number is divisible by 5 if its last digit is 0 or 5.
• 🎯 For 9, if the sum of the digits is divisible by 9, the whole number is also divisible.
• 🔄 The rule for 4 involves checking if the last two digits form a number divisible by 4.
• 📉 A number is divisible by 6 if it meets the conditions for both 2 and 3.
• 🔍 To determine divisibility by 11, calculate the difference between the sums of digits in odd and even positions.
• ⏳ Practicing divisibility rules enhances problem-solving skills and confidence in math.
• 📽️ The speaker encourages viewers to share their learning resources and strategies with peers.

Q & A

What is the primary topic of the video?

The primary topic of the video is the divisibility rules for various numbers, with a specific focus on the rule for checking divisibility by 11.

How do you determine if a number is divisible by 11?

To determine if a number is divisible by 11, add the digits in the odd positions and the digits in the even positions separately, then find the difference between these two sums. If the difference is divisible by 11, the original number is also divisible by 11.

What example does the speaker provide to illustrate the divisibility rule for 11?

The speaker provides the example of the number 33, showing that since it is divisible by 11, the original number meets the divisibility condition.

What is the significance of learning divisibility rules according to the speaker?

Learning divisibility rules is significant because it allows individuals to simplify complex calculations and solve problems more efficiently, especially in competitive exam scenarios.

How much time does the speaker recommend dedicating to learning these rules?

The speaker recommends spending four to five hours learning and practicing the divisibility rules to gain a solid understanding.

What advice does the speaker give for practicing divisibility rules?

The speaker advises viewers to take many numbers and practice checking them against the divisibility rules to become more comfortable and proficient.

What future content does the speaker plan to offer?

The speaker plans to teach additional shortcuts and tips for calculations on their YouTube channel in future videos.

Why does the speaker encourage sharing the video?

The speaker encourages sharing the video to help friends who are preparing for competitive exams benefit from learning the divisibility rules.

What is the overall message of the video regarding practice and application?

The overall message is that consistent practice with the divisibility rules will enhance one's ability to tackle complex mathematical problems and increase confidence in using these rules.

What type of numbers does the speaker encourage viewers to check for divisibility?

The speaker encourages viewers to check various numbers against the divisibility rules, particularly focusing on numbers related to competitive exams.