What type of number has a decimal that does not repeat or end?
and, what type(s) of number is -5?

A number that has a decimal that does not repeat or end in an irrational number.  The decimal goes on forever, without a pattern.  Think of it as it is irrational to keep going on and on and on.   Irrational numbers also cannot be put into fractions.
-5 is an integer, it is a whole (positive or negative without a decimal/fraction) number.  An integer can be any whole number as long as it is a whole number and does not have a decimal.