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Simplifying
To simplify the expression , apply the order of operations by treating the absolute value bars as grouping symbols and working from the innermost parentheses outward. First, subtract inside the parentheses: , which gives . Next, multiply inside the absolute value group: , resulting in . Then, subtract inside the absolute value bars: , yielding . After that, evaluate the absolute value of , which is , giving . Finally, complete the subtraction to find the answer: .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
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Solving with Nested Grouping Symbols
In professional data entry and formula construction, identifying grouping symbols is essential for accuracy. Match each symbol shown below with its correct mathematical name.
In a professional workplace, when using a formula that contains nested grouping symbols like braces { }, brackets [ ], and parentheses ( ), which rule must be recalled to determine the correct order of simplification?
In a technical spreadsheet formula used for inventory management, 200 - [5 * (12 + 3)], the symbols [ ] are formally known as ____.
In algebraic notation used for professional technical specifications, absolute value bars (| ; |) are formally classified as grouping symbols because the operations inside them must be simplified first.
When a technical formula contains nested grouping symbols, such as , there is a specific order required to simplify the expression. Arrange the following steps in the correct sequence, starting with the first action to be taken.
Order of Operations in Algebra
Identifying Standard Grouping Symbols in Technical Notation
Standardizing Algebraic Grouping Symbols for Technical Documentation
Standardizing Production Formulas
In the context of technical documentation and formula design, what is the primary function of grouping symbols such as parentheses ( ; ), brackets [ ; ], or braces { ; }?
In professional technical formulas, most grouping symbols are used solely to organize the order of operations. Which of the following grouping symbols is unique because it also requires a specific mathematical operation to be performed on the result after the expression inside it is simplified?
Simplifying
Simplifying
Simplifying
Learn After
A logistics coordinator uses the formula to calculate the final number of active delivery routes available after adjusting for driver shortages and vehicle maintenance. Recall the correct order of operations by arranging the following steps in the exact sequence needed to simplify this expression.
A retail manager uses the expression to calculate the final number of promotional inventory kits remaining after a weekend sale. According to the order of operations, what is the final simplified value of this expression?
An office manager is simplifying the expression to determine the remaining balance in a supply budget. Match each specific step of the simplification process with its correct numerical result based on the order of operations.
A production supervisor uses the expression to determine the number of items remaining after a quality check. True or False: According to the order of operations, the absolute value of the expression inside the bars must be evaluated before the final subtraction from 19 is performed.
A warehouse inventory specialist evaluates the expression to determine the final number of storage pallets available after a shipment adjustment. By correctly recalling and applying the order of operations, the final simplified value of this expression is ____.
Order of Operations in Inventory Auditing
Recalling the Order of Operations with Absolute Value Grouping