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Training Onboarding: Explaining Order of Operations
You are training a newly hired data entry associate at your logistics firm. The associate is reviewing an automated system log that reconciled shipment adjustments using the expression .
The associate is unsure how the system calculated the final adjustment value of 21. They believe that because of the acronym PEMDAS, multiplication should always be performed before division, and that addition must wait until all other operations are completely done.
Write a clear, professional training explanation to guide this associate through the correct standard rules for the order of operations and signed number operations. In your response, make sure to address the following:
- Explain the precedence relationship between multiplication and division, and how to determine which one to perform first when both appear in an expression.
- Detail the exact step-by-step calculations required to simplify , including the specific rules for dividing and multiplying negative integers (such as how to determine the sign of each intermediate result).
- Explain how the final addition is performed to arrive at the correct net adjustment of 21.
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OpenStax
Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
Recall in Bloom's Taxonomy
Cognitive Psychology
Psychology
Social Science
Empirical Science
Science
OpenStax Psychology (2nd ed.) Textbook
Related
When simplifying the expression according to the standard order of operations, which part of the calculation should be performed first?
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A logistics coordinator is calculating a net shipment adjustment using the expression . Arrange the following steps in the correct order to simplify this expression according to the standard order of operations.
An accounting clerk is using the expression to reconcile inventory adjustments. True or False: According to the order of operations, the division operation must be performed before the multiplication because division always has higher precedence than multiplication.
Auditing Spreadsheet Calculations
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Training Onboarding: Explaining Order of Operations