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Simplifying
To simplify the expression , follow the order of operations by resolving the innermost grouping symbols first. Treat the absolute value bars as an outer grouping symbol. Begin by subtracting inside the parentheses: , producing . Next, perform the multiplication inside the absolute value: , giving . Then, carry out the subtraction inside the absolute value bars: , resulting in . After that, take the absolute value of , which is , leaving . Finally, subtract to determine the final result: .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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A payroll specialist is reviewing a formula for calculating net adjustments: 24 - |19 - 3(6 - 2)|. According to the order of operations, which specific operation must be performed first to simplify this expression?
A project manager uses the expression 24 - |19 - 3(6 - 2)| to calculate a resource variance. In this mathematical expression, the absolute value bars function as a ____ symbol, indicating that the operations within them must be completed before the final subtraction.
A logistics coordinator uses the expression 24 - |19 - 3(6 - 2)| to determine the final count of items in a shipment. Arrange the following steps in the correct order to simplify this expression according to the order of operations.
A budget analyst is reconciling a ledger using the adjustment formula 24 - |19 - 3(6 - 2)|. To ensure the calculation follows the correct order of operations, match each version of the simplified expression with the description of the step taken to reach it.
A procurement officer uses the formula to determine the net variance in a shipment. True or False: In the standard order of operations, the absolute value bars () function as a grouping symbol, requiring the operations inside them to be simplified completely before the subtraction from 24 is performed.
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Standard Operating Procedure for Mathematical Expressions
Simplifying
Simplifying
An accounts receivable clerk is using the formula to calculate a reconciliation adjustment. According to the step-by-step simplification of this expression, what is the numerical result of the subtraction performed inside the absolute value bars ()?
A data analyst is reviewing a calculation used in a performance report: . To correctly simplify the expression, the analyst must recall that the proximity of the number 3 to the parentheses in the term represents which mathematical operation?