Add up the shortest possible list of numbers,
and make each of them as small as possible.
The answer to the smallest possible value of the sum of all the digits is 1. the number can either be 100 or 1000 - either way the sum is still one.
No, it is impossible.
The smallest four prime numbers are 2, 3, 5, 7, and their sum happens to be a prime.
The smallest set of such prime numbers is 5, 7, 11, 13, making a sum of 36.
12
No. The largest possible resultant magnitude is the sum of the individual magnitudes.The smallest possible resultant magnitude is the difference of the individual magnitudes.
43
To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.
It is 112356.
The sum of the smallest 15 positive integers is 120. The sum of the smallest 15 negative integers is -120.
The sum of the five smallest prime numbers is 18.
From left to right, pick the smallest possible digit every time. This will give you the smallest possible number.