Short Answer

Manufacturing Stock Adjustment Properties

An operations manager at a manufacturing plant is tracking stock adjustments for component aa in an inventory log. The net change in stock is represented by the expression 27a+(48a)+27a{}-27a + (-48a) + 27a. Using the Commutative Property of Addition, the manager rearranges the terms to group opposites together: 27a+27a+(48a){}-27a + 27a + (-48a).

To complete the simplification, the manager performs the following two steps:

  1. Combines the opposite terms, 27a{}-27a and 27a{}27a, to get 0.
  2. Simplifies the remaining expression, 0+(48a){}0 + (-48a), to get 48a{}-48a.

Recall and state the names of the two algebraic properties of addition that justify Step 1 and Step 2 respectively.

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Updated 2026-06-02

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