Textbook Question
CONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. √6 • √6
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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 8
CONCEPT PREVIEW Evaluate each expression. 2 • 5 - 10 ÷ 2
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: \(2 \cdot 5 - 10 \div 2\).
First, perform the multiplication and division from left to right. Calculate \(2 \cdot 5\) and \(10 \div 2\) separately.
After finding the results of the multiplication and division, substitute them back into the expression to get a simpler expression involving only subtraction.
Finally, perform the subtraction to complete the evaluation 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 common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. Multiplication and division are performed from left to right before addition and subtraction.
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Algebraic Operations on Vectors
Multiplication and Division
Multiplication and division are inverse operations that are performed at the same priority level in the order of operations. When both appear in an expression, they are evaluated from left to right. For example, in the expression 2 • 5 - 10 ÷ 2, 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 is performed after multiplication and division in the order of operations. Once all multiplication and division are completed, subtraction is applied from left to right to simplify the expression fully.
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3:18Adding and Subtracting Complex Numbers
Related Practice
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