Why does changing the sum order returns a different result?

Why does changing the sum order returns a different result?

23.53 + 5.88 + 17.64 = 47.05

23.53 + 17.64 + 5.88 = 47.050000000000004

Both Java and JavaScript return the same results.

I understand that, due to the way floating point numbers are represented in binary, some rational numbers (like 1/3 – 0.333333…) cannot be represented precisely.

Why does simply changing the order of the elements affect the result?

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