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Simplifying
Use the commutative property of addition to simplify the expression by reordering the terms. Grouping the like terms together results in . Then, combine the coefficients of the like terms: gives , while gives . The final simplified expression is .
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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
You are an office manager preparing a supply report. You have recorded the following inventory counts from two different storage cabinets:
Cabinet 1: (where represents reams of paper and represents boxes of staples) Cabinet 2:
The total inventory is represented by the expression:
What is the final simplified expression for the total inventory of reams and staples?
An IT manager is consolidating equipment orders from two different departments. The total order is represented by the expression , where represents routers and represents switches. To rearrange the terms and group the similar equipment together as , the manager applies the ____ property of addition.
A warehouse supervisor is tracking inventory for two types of machine parts: rotors () and sensors (). The total inventory count is represented by the following expression:
Arrange the steps below in the correct order to simplify this expression and determine the total count of parts.
A retail inventory manager is consolidating stock for two items: rings () and silver chains (). The total stock from two different displays is represented by the expression: .
True or False: To begin simplifying this expression, the manager can reorder the terms to group the like terms together as .
A warehouse supervisor is auditing supplies across two separate zones. Zone 1 contains and Zone 2 contains , where represents rolls of industrial tape and represents safety goggles. The combined inventory is given by the expression: Match each mathematical expression to the specific stage of the simplification process it represents.