We learned from mathematics that addition is commutative (i.e. a+b = b+a) and associative (i.e. (a + b) + c = a + (b + c)). Consider the expression in which the n elements of the array A is a numeric type. A[0] + A[1] + ... + A[n-1]; If A is an array of integers, is the result the same if the expression above is evaluated in any order (using properties of commutativity and associativity)? Why or why not?

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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We learned from mathematics that addition is commutative (i.e. a+b = b+a) and associative (i.e. (a + b) + c = a + (b + c)). Consider the expression in which the n elements of the array A is a numeric type.

A[0] + A[1] + ... + A[n-1];

If A is an array of integers, is the result the same if the expression above is evaluated in any order (using properties of commutativity and associativity)?
Why or why not?

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