mathematics

These are numbers that may be postive or negative.

Postive are above zero, negative are below zero.

Directed numbers are often seen on the weather forecast in winter. Quite often the temperature is below 0. Aberdeen is the coldest at -8 degrees. London is 6 degrees warmer than Manchester

The intergers are the set of numbers {. . ., -3, -2, -1, 0, 1, 2, 3,  ...}. When refering to intergers, the term integral value is used. A number that is non-integral is not an integer.