Math Help - Well ordered set

1. Well ordered set

Suppose $(A,\leq)$ is a well-ordered set. Let $B = \mathbb{R}^A$. Find an explicit linear order on $B$.

So I have to prove reflexivity, antisymmetry, transitivity and that B is linear. Thing is I cant really get my head around what $B = \mathbb{R}^A$ actually is... Set of functions from A to $\mathbb{R}$. But A is well ordered... So how does that change things?

Does this involve creating an in/bijection between B and some well ordered set?

2. clic-clac explained how to form the linear order pretty well for me:

http://www.mathhelpforum.com/math-he...order-set.html

proving the rest is a bit easier.

Now, know anything about question 4? http://www.mathhelpforum.com/math-help/discrete-mathematics-set-theory-logic/111677-ordinal-arithmetic.html