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Divisibility by 9:
How do you know that a number is divisible by 9? Well, a number is divisible by 9 if the sum of the digits is a multiple of 9, then the given number is divisible by 9. You can repeat the process until the result is a multiple of 9.
Example 1:
The first thing that we need to do is to inspect the given number if it is divisible by 9 or not. Let's add the digits as follows
Since 8 is not a multiple of 9, then the given number is not divisible by 9. There's a remainder of 8 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The first thing that we need to do is to inspect the given number if it is divisible by 9 or not. Let's add the digits as follows
Since 9 is a multiple of 9, then the given number is divisible by 9. There's no remainder or a fraction in the division.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
This method can also be used for negative integers as long as the sum of the digits is a multiple of 9. Again, there should be no remainder or a fraction in the division.