Arithmetic › Integers and signed numbers › Adding signed numbers

Smallest non-negative signed sum

High school · ●●○○○ 20 pts

Insert ++ or −- signs between the numbers 1,2,3,…,19891, 2, 3, \ldots, 1989, so that the sum is ±1±2±3⋯±1989\pm1\pm2\pm3\cdots\pm1989 with the first number taken as ++. What is the smallest non-negative value that the sum can take?

Sign in to save your progress.

paritypairinginvariants