a number divisible by 9 is also divisible by ? I want with solution .
Answers
Answer:
by 3
Step-by-step explanation:
a no.divisible by 9 is also divisible by 3 because for both the divisibility test is same .when you want to find taht a given no.is divisible by 9 or 3 then if the sum of the digits of number is divisible by 3or 9 so the no.is divisible by them .
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Answer:
Every number divisible by 9 is divisible by 3. For example, 7425 is divisible by 9, hence it is divisible by 3. However, a number divisible by 3 is not necessarily divisible by 9.
Step-by-step explanation:
Lets us take a number, for example, 324
324 can be written as a sum of hundreds, tens and ones:
324 = 300 + 20 + 4 or 324 = 100 + 100 + 100 + 10 + 10 + 4
But 100 = 99 + 1 and 10 = 9 + 1
Then 324 = 99 + 99 + 99 + 3 + 9 + 9 + 2 + 4 = (99 + 99 + 99 + 9 + 9)+ (3 + 2 + 4)
The sum inside the first brackets is divisible by 9 because all the addends are divisible by 9. If the sum in the second brackets (3 + 2 + 4) is also divisible by 9, then the whole sum, 324, is divisible by 9.
Since the sum 3 + 2 + 4 is divisible by 9, we conclude that 324 is also divisible by 9.
However, 3 + 2 + 4 is the sum of the digits in our number, hence the rule: