yeah again I was rethinking that on the spot. this topic is challenging everything I thought I knew about mathematics !!! (not a lot)

but thanks for making us feel stupid guys instead of explaining, you've been great

stuff in algebra can be a bunch of different things

Real numbers = all numbers

Rational numbers = all numbers than be expressed as p/q where q != 0 and p and q are integers

integers = all whole numbers (-3,-2,-1,0,1,2,3 etc)

natural numbers = all positive integers (1,2,3,4,5,6,7etc)