Divisibility Rule for 9 Explained
To find the remainder when a number is divided by 9, we can use the divisibility rule of 9. This rule states that the remainder of a number when divided by 9 is the same as the remainder of the sum of its digits when divided by 9.
Calculating the Remainder
The number given is 987654321.
- First, find the sum of the digits of the number:
Sum = 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
Sum = 45
- Next, find the remainder when this sum (45) is divided by 9.
We perform the division: $45 \div 9$
Since $45 = 9 \times 5$, the remainder is 0.
Therefore, the remainder when 987654321 is divided by 9 is 0.
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