Maths Playing With Numbers part 22 (Divisibility by 11) CBSE Class 6 Mathematics VI

TL;DR

This video explains the divisibility rule of 11, which states that a number is divisible by 11 if the difference between the sum of the digits at odd places and even places is 0 or divisible by 11.

Transcript

hello friends this video on playing with numbers part 22 is brought to you by example.com no more fear from exam let us now look at the divisibility by 11 how do we know that a number is divisible by 11 so a number is divisible by 11 if the difference between the sum of the digits at odd places and some of the digits at even places is either 0 or d... Read More

Key Insights

• 🦕 Divisibility by 11 can be determined by calculating the difference between the sums of digits at odd and even places.
• 🧘 Odd places refer to positions 1, 3, 5, 7, etc., while even places refer to positions 2, 4, 6, etc., counting from the right.
• #️⃣ If the difference is 0 or divisible by 11, then the number is divisible by 11.
• 📏 The divisibility rule of 11 can be applied to any number, regardless of its size or digit count.
• 📏 Understanding the rule requires practice and the application of basic mathematical operations.
• 🏆 The four-step learning process offered by example.com includes video lessons, question and answer sessions, reference notes, and online tests.
• 🥶 The website provides free quality education resources for various subjects and grade levels.

Questions & Answers

Q: How do you determine if a number is divisible by 11 using the divisibility rule?

To determine if a number is divisible by 11, you need to sum the digits at odd and even places, subtract the sums, and check if the difference is either 0 or divisible by 11.

Q: Why do we count odd and even places starting from the units place?

Counting odd and even places starting from the units place helps in identifying the digits at those positions accurately and applying the divisibility rule correctly.

Q: Is divisibility by 11 a complicated rule?

While the divisibility rule of 11 may appear complicated at first, it becomes easier to understand with practice and by working through examples. Breaking the rule down into smaller steps makes it more manageable.

Q: Can you provide a real-life application of the divisibility rule of 11?

The divisibility rule of 11 can be applied in various situations, such as checking if a barcode number is valid or verifying the accuracy of calculations involving large numbers.

Summary & Key Takeaways

• The video discusses the rule for determining divisibility by 11, which involves summing the digits at odd and even places and calculating the difference.

• The counting of odd and even places begins from the right, starting with the units place.

• Multiple examples are provided to demonstrate the application of the divisibility rule.