Question: Rounding inside the computer often has an effect on the result. Assume that your machine has eight significant digits. (a) Show that the machine will

Rounding inside the computer often has an effect on the result. Assume that your machine has eight significant digits.
(a) Show that the machine will compute (2/3) + ((2/3) - (1/3)) as unequal to ((2/3) + (2/3)) - (1/3). Thus, computer arithmetic is not associative.
(b) Compare the computer's version of (1/3)x + y = 0 and (2/3)x + 2y = 0. Is twice the first equation the same as the second?

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