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Simplifying
To simplify the algebraic expression , recognize that the first and third terms are opposites. Use the commutative property of addition to rearrange the terms so the opposites are next to each other: . Adding the opposites yields , simplifying the expression to . Applying the additive identity property gives the final result of .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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A payroll clerk is calculating an employee's total weekly pay by adding their base salary to their performance bonus. Which property of addition ensures that the total remains the same regardless of whether the clerk adds the bonus to the base salary or the base salary to the bonus?
In a corporate budget report, adding the 'Travel Expenses' to the 'Equipment Costs' yields the same total as adding the 'Equipment Costs' to the 'Travel Expenses'. This illustrates the ____ Property of Addition.
True or False: In a business accounting context, the Commutative Property of Addition ensures that the sum of 'Quarter 1 Revenue' and 'Quarter 2 Revenue' is identical to the sum of 'Quarter 2 Revenue' and 'Quarter 1 Revenue'.
In a professional setting, such as calculating total project costs or departmental expenses, the order in which you add figures does not change the final result. Match the following terms and representations associated with this principle to their correct descriptions.
Property of Order in Workplace Calculations
Understanding the Commutative Property in Financial Records
Production Log Verification
A project manager is totaling the expenses for a new contract by adding 'Material Costs' and 'Labor Costs'. Arrange the steps below in the correct order to demonstrate the application of the Commutative Property of Addition in this verification process.
A retail manager is totaling the daily sales from two different cash registers: Register A () and Register B (). According to the Commutative Property of Addition, which of the following expressions is equivalent to ?
In a professional development course on workplace mathematics, you are introduced to the Commutative Property of Addition. This property's name is derived from the word 'commute,' which in this context means to:
Simplifying
Simplifying
Simplifying
Subtraction and Division Are Not Commutative
Simplifying
Simplifying
Simplifying
Learn After
An inventory manager for an electronics company is tracking the movement of a specific component (represented by ). The ledger shows three adjustments: a shipment of 27 units sent out (), a sale of 48 units (), and a return of 27 units ($27a{}-27a + (-48a) + 27a$, which pair of terms should the manager identify as 'opposites' that will sum to zero?
An auditor reviewing a company's ledger encounters the adjustment expression . Because the terms and are exact opposites that cancel each other out, the auditor can quickly simplify the entire expression to just .
A retail coordinator is reconciling a ledger for item code . The net adjustment needed is represented by the expression . Arrange the following steps in the correct order to simplify this expression using the properties of addition as described in the course material.
An accountant is reconciling a project ledger where the net adjustment for item is represented by the expression . To simplify this adjustment, match each part of the mathematical process with its correct description or resulting value.
An inventory coordinator is reconciling a ledger for warehouse item . The total adjustment is represented by the expression . After the coordinator identifies that the first and third terms are opposites that sum to zero, the final simplified expression is ____.