Question

Which of the following expressions shows that integers are associative under addition?

• A. (-13 + (-47)) + 92 = -13 + (-47) + 92
• B. (-13 + (-47)) + 92 = -13 + (-47) $\times$ 92
• C. (-13 + (-47)) + 92 = -13 + (-47 + 92)
• D. (-13 + (-47)) + 92 = -13 $\times$ (-47 + 92)

Answer 1

The correct option is C (-13 + (-47)) + 92 = -13 + (-47 + 92)

The associativity property of integers under addition states that
(a + b) + c = a + (b + c) such that, a, b, and c are integers.
Now,
Using associativity property of integers under addition (-13 + (-47)) + 92 is written as,
(-13 + (-47)) + 92= -13 + ( -47 + 92)