Divisibility Rules and Applications

The video tutorial by Mr. J explains the divisibility rule for 11, which involves adding the odd and even positioned digits of a number, finding their difference, and checking if the difference is divisible by 11. The tutorial provides four examples to illustrate the rule: 693, 72,457, 91,580, and 8,153,783. Each example is broken down step-by-step to demonstrate the process of checking divisibility by 11.

What is the main purpose of checking for divisibility?

• To find the largest number

• To determine if a number can be divided without a remainder

• To check if a number is odd or even

• To calculate the sum of digits

According to the divisibility rule for 11, what should you do with the odd and even digits?

• Multiply them together

• Subtract the even digits from the odd digits

• Divide the odd digits by the even digits

• Add them separately and find the difference

In Example 1, what is the result of subtracting the even digit sum from the odd digit sum for the number 693?

• 0

• 9

• 3

• 11

For the number 72,457, what is the sum of the odd-positioned digits?

• 11

• 14

• 18

• 7

What is the difference between the sums of odd and even digits for the number 72,457?

• 7

• 11

• 18

• 5

In Example 3, what is the sum of the even-positioned digits for the number 91,580?

• 14

• 9

• 5

• 8

Is the number 91,580 divisible by 11?

• Yes

• No

• Only if the digits are rearranged

• Only if 5 is added to it

For the number 8,153,783, what is the result of subtracting the even digit sum from the odd digit sum?

• 0

• 12

• 11

• 23

Which of the following numbers is divisible by 11 based on the examples?

• 693

• Both 693 and 72,457

• 72,457

• 91,580

What is the final conclusion about the number 8,153,783 in terms of divisibility by 11?

• It is divisible only if rearranged

• It needs more digits to be divisible

• It is divisible by 11

• It is not divisible by 11