my solution:kaliprasad said:Find the smallest number that is made up of each of the digits 1 through 9 exactly once and is divisible by 99.
The smallest number divisible by 99 using digits 1-9 is 123456789. This is because it is the smallest number that contains all nine digits and is also divisible by 99.
A number is divisible by 99 if it is divisible by both 9 and 11. To determine if a number is divisible by 9, you can add up all of its digits and if the sum is divisible by 9, then the number is also divisible by 9. To determine if a number is divisible by 11, you can alternately add and subtract the digits from left to right and if the resulting number is divisible by 11, then the original number is also divisible by 11.
Yes, there are other numbers that are divisible by 99 using digits 1-9. For example, 246801357 and 369852147 are also divisible by 99 using all nine digits.
No, the order of the digits cannot be rearranged to find a smaller number divisible by 99. This is because the smallest number that can be formed using all nine digits is 123456789, which is already divisible by 99.
This question may vary depending on the context, but finding the smallest number divisible by 99 using digits 1-9 can be useful in various mathematical and coding applications. It can also be used as a puzzle or brain teaser. Additionally, it can help improve number sense and problem-solving skills.