Why does changing the sum order returns a different result?

Question

Why does changing the sum order returns a different result?

23.53 + 5.88 + 17.64 = 47.05

23.53 + 17.64 + 5.8

Answer 1

I believe it has to do with the order of evaulation. While the sum is naturally the same in a math world, in the binary world instead of A + B + C = D, it's

A + B = E
E + C = D(1)

So there's that secondary step where floating point numbers can get off.

When you change the order,

A + C = F
F + B = D(2)