Use the numbers 1, 2, 3, ...10 exactly once, as well as addition and subtraction signs, to get a value of 100.

123+45-67+8-9=100

Or 103 - 2-1

To solve this problem, we can use a brute force approach by trying out different combinations of numbers and operators until we find a combination that yields a sum of 100. Let's start:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 (This is the sum of all the numbers from 1 to 10)
55 + 45 = 100 (Adding 45, which is the difference between the sum of all numbers from 1 to 10 and 100)

Therefore, one possible solution using the numbers 1 to 10, as well as addition and subtraction signs, is:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 45 = 100

To find the solution, we added the numbers from 1 to 10 to get a sum of 55. Then, we added 45 to 55 to obtain 100.

Please note that the brute force method was used here, which means trying multiple combinations until a solution is found. In some cases, there may be multiple solutions or no solution at all, and finding the solution may require trying different combinations.