The phrase "inconsequential amount" means a very small or insignificant quantity, something that doesn't really matter or have any significant impact. Full definition
Running Scared and Hoot managed to lose fairly inconsequential amounts of money. (filmcomment.com)
There are two forms of vitamin K: vitamin K1 is found in green vegetables and plant oils, especially olive oil; vitamin K2, which is produced by intestinal bacteria in small and probably inconsequential amounts, is found in animal foods and fermented plant foods.87 (westonaprice.org)
Instead of the current 30 percent weight for affected teachers, it will reduced to 10 percent next year and 20 percent in 2016 — largely inconsequential amounts in terms of the overall criteria for the evaluation. (b4njkids.org)