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What is the ....?
What is the first digit of the smallest natural number that has the sum of its digits equal to 2006?
Ans:8
I know this question sounds wronge but it's taken from the international kangroo mathematics contest 2006 question paper. As I know the answer(taken from its site) I need the best explanation on how to arrive on it, plz help its really urgent!
N E help would be highly appreciated!
3 Answers
- RustyL71Lv 41 decade agoFavourite answer
The smallest natural number would be a series of 9's, so if you take 2006 and divide it by 9, you get:
2006 / 9 = 222.8888... or 222 8/9.
As a result, the smallest natural number with the sum of digits equal to 2006 would be an 8 followed by 222 nines.
- Anonymous1 decade ago
lobosito is right. The smallest number must have all 9's, but 2006 is not divisible by 9. If you do the math, you will get that 2006 divided by 9 is 222 with a remainder of 8. Theofore the smallest number has 222 9's and one 8. The smallest number that can be made from that is the 8 followed by 222 9's, which is
899999.....9999 for 222 9's.
The first digit is 8
- ?Lv 71 decade ago
since it is the smallest it should have 9-s as digits
9999...9999...9999
But 2006 is not divisible by 9 so you have to make one small change