Question: In exact arithmetic x + (y + z) = (x + y) + z. Show that this may be no longer true if we use

In exact arithmetic x + (y + z) = (x + y) + z. Show that this may be no longer true if we use floating point arithmetic. Specifically, assume a floating point number system with = 10 and m = 4. Construct floating point numbers x, y, z such that fl(x + fl(y + z)) 6= fl(fl(x + y) + z).

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