Question
Explain with suitable example that in computer arithmatics (i.e., numbers represented in computer, with +, -, , / as implemented in a computer) the multiplication operation() may not be distributive over plus (+), i.e. may not be true for some computer numbers a, b and c
Answer :
Word Count : 286
In computer arithmetic, due to the finite precision of floating-point representations, certain mathematical properties such as distributivity may not always hold. The distributive property states that for any real numbers $a$, $b$, and $c$, the equation $a \times (b + c) = a \times b + a \times c$ should always be true. However, in computer arithmetic, due to rounding errors and limited precision, this equality might not hold in all __________ _________ _____ ______ _________ __________ ____ _____ _______ ______ _____.
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In computer arithmetic, due to the finite precision of floating-point representations, certain mathematical properties such as distributivity may not always hold. The distributive property states that for any real numbers $a$, $b$, and $c$, the equation $a \times (b + c) = a \times b + a \times c$ should always be true. However, in computer arithmetic, due to rounding errors and limited precision, this equality might not hold in all __________ _________ _____ ______ _________ __________ ____ _____ _______ ______ _____.
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