Question

what is ainteger?

Answer 1

Any positive or negative whole number
Its the set:
\[\mathbb{Z}=\left\{ ...-3,-2,-1,0,1,2,3... \right\}\]
Where the ... denote it going infinitely in both directions.

Answer 2

That's right. Going by Malevolence's definition, 0.3333 is not an integer, nor is 12.5 or pi.