divisibility rule for 11

divisibility rule for 11

1. Teacher Name: Aneela Shaheen Class : 6 th Sub: Maths Timings: 10:00 – 11:00 Hrs

2. We’ll follow this textbook. https://lms.fazaia.edu.pk/books/New%20Countdown%20Book-6.pdf

3. Objectives: Divisibility rule for 11

4. Is 29601 divisible by 11? 29601 ÷ 11 I need to check the remainder: if remainder is zero then 29601 is divisible by 11 If remainder is not zero, then 29601 is not divisible by 11.

5. Divisibility rule for 11 Find the sum of the digits at odd places and sum of the digits at even places and Subtract them. If the result is zero or the multiple of the 11 then The original number is divisible by 11.

6. Divisibility rule for 11 Sum Means : to perform addition Odd places means: All the digits in the position (1, 3 ,5, ...) Even places means : All the digits at even positions (2,4,6,...)

7. Is 29601 divisible by 11?

8. Step 1: Identify even and odd places

9. Step 1 : Given number is : Number : 2 9 6 1 Digit position: 1 2 3 4 5 Here, positions 1 , 3 and 5 are odd position so add all the numbers on these positions. 2 and 4 represents even positions so calculate the sum of digits at even places.

10. Step 2: Sum of digits at odd places/ position:

11. Step 2: Sum of digits at odd places= 2+6+1 Sum of digits at odd places= 9

12. Step 3: Sum of digits at even places/ position:

13. Step 3: Sum of digits at even places= 9+0 Sum of digits at even places= 9

14. Step 4: Subtract two sum

15. Step 4: Subtraction of two sum= 9 – 9 Subtraction of two sum= 0