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Simplifying
To simplify the expression , notice that the first and third terms are opposites. First, apply the commutative property of addition to reorder the terms, bringing the opposites together: . Next, add the opposites from left to right. By the inverse property of addition, the sum of a number and its opposite is , so . This simplifies the expression to . Finally, applying the additive identity property, adding to any term leaves it unchanged, resulting in the final simplified expression .
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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
As an inventory manager, you are verifying a log of incoming and outgoing batches of a specific part, denoted by . The log entries form the algebraic expression . Recall the mathematical process taught in this lesson to simplify this expression by arranging the steps in the correct chronological order.
A corporate accountant is reconciling a digital ledger for a recurring expense . The system shows the following sequence of adjustments for the current period: . To simplify the final report, the accountant recalls that adding a number to its opposite results in 0. What is the final simplified expression for the net change in the account?
A logistics specialist is reconciling a warehouse ledger for a specific inventory part, . The adjustment history for the day shows: . Match each mathematical property with the specific reasoning used to simplify this record.
A corporate training coordinator is illustrating algebraic simplification using the expression . True or False: To group the opposite terms together as the first step, the coordinator can reorder the expression as by applying the Commutative Property of Addition.
A financial auditor is reconciling account balances represented by the expression . To simplify, the auditor first reorders the terms to . They then sum the opposites, noting that . This specific step of adding a term and its opposite to get $0$ demonstrates the ____ property of addition.