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Explain why the algebraic associative property for addition: a + (b + c) = (a + b) + c does not always hold true for

Explain why the algebraic associative property for addition: a + (b + c) = (a + b) + c does not always hold true for floating point numbers stored in a computer; but the same property for multiplication: a x (b x c) = (a x b) x c does hold true.

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