Textbook Question
Simplify each expression. See Example 8. -6p + 5 - 4p + 6 + 11p
Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161
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Table of contents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Chapter 1, Problem R.2.83
Evaluate each expression. See Example 5. 6 • 3 - 12 ÷ 4
Verified step by step guidance1
Identify the order of operations to evaluate the expression correctly. Remember the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Rewrite the expression clearly: \(6 \times 3 - 12 \div 4\).
Perform the multiplication and division first, moving from left to right. Calculate \(6 \times 3\) and \(12 \div 4\) separately.
Substitute the results of the multiplication and division back into the expression, so it becomes a simpler expression involving only addition or subtraction.
Finally, perform the subtraction to find the value of the expression.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations
The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed to ensure consistent results. The standard hierarchy is parentheses first, then exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).
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Algebraic Operations on Vectors
Multiplication and Division
Multiplication and division are inverse operations and have the same precedence level. When both appear in an expression, they are evaluated from left to right. For example, in the expression 6 × 3 - 12 ÷ 4, multiplication and division must be handled before subtraction.
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03:05Powers Of Complex Numbers In Polar Form (DeMoivre's Theorem) Example 1
Subtraction
Subtraction is the operation of finding the difference between numbers and has lower precedence than multiplication and division. It is performed after all multiplication and division operations are completed, following the left-to-right rule for addition and subtraction.
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3:18Adding and Subtracting Complex Numbers
Related Practice
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