Question

if sum of the digit of a number is divisible by 9. then the number is also divisible by 9 justify​

Answer 1

Answer:

The divisibility rule of 9 says that a number is divisible by 9 if the sum of the digits of the number is divisible by 9.

Ex - 72 is divisible by 9 because 7 + 2 = 9.

108 is also divisible by 9 because 1 + 0 + 8 = 9.

596 is not divisible by 9 because 5 + 9 + 6 = 20. 20 is not divisible by 9.  

Answer 2

Answer:

As given below

Step-by-step explanation:  

Given problem

if sum of the digit of a number is divisible by 9. then the number is also divisible by 9 justify​

Explanation :

The divisibility law of 9 says that if the sum of the digits of a number is divisible by 9 then the number will also divisible by 9

we can check this with multiple of 9

here we are taking some of multiples of 9

[multiples of 9 will divisible by 9 ]  

18, 27, 36, 54, 108 and 135 are some multiples of 9

sum of the digits in each number are

⇒ 18 = 1 + 8 = 9   [ which is divisible by 9]

⇒ 27 = 2 + 7 = 9   [ which is divisible by 9]

⇒ 36 = 3 + 6 = 9    [ which is divisible by 9]

⇒ 54 = 5 + 4  = 9    [ which is divisible by 9]

⇒ 108 = 1 + 0 + 8 = 9    [ which is divisible by 9]

⇒ 135 = 1 + 3 + 5 = 9    [ which is divisible by 9]  

⇒ so here we can conclude that if a number is divisible by 9 then the sum of the digits in the number will also divisible by 9

⇒ Therefore it is justified that if sum of the digit of a number is divisible by 9. then the number is also divisible by 9  ​