To find the weight of all the ants in the world, we can multiply the average weight of one ant (3 × 10^-6 kg) by the total number of ants (1 × 10^16 ants).
(3 × 10^-6 kg) * (1 × 10^16 ants) = (3 * 1) × (10^-6 * 10^16) kg
= 3 × 10^10 kg
Therefore, the approximate weight in kilograms of all the ants in the world is 3 × 10^10 kg.