Domanda del libro di testo
Evaluate each expression. See Example 5. -4(9 - 8) + (-7) (2)³
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- 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
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema R.2.93
Evaluate each expression. See Example 5. -8 + (-4) (-6) ÷ 12 4 - (-3)
Guida verificata passo dopo passo1
First, rewrite the expression clearly to understand the order of operations: \(-8 + (-4) \times (-6) \div 12 \times 4 - (-3)\).
Apply the order of operations (PEMDAS/BODMAS): start with multiplication and division from left to right before addition and subtraction.
Calculate the product \((-4) \times (-6)\), remembering that multiplying two negative numbers results in a positive number.
Next, divide the result of the multiplication by 12, then multiply that quotient by 4, following the left-to-right rule for multiplication and division.
Finally, perform the addition and subtraction operations in order: add \(-8\) to the result from the previous step, then subtract \(-3\) (which is equivalent to adding 3).
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Order of Operations
The order of operations dictates the sequence in which mathematical operations are performed: parentheses first, then multiplication and division from left to right, followed by addition and subtraction from left to right. This ensures consistent and correct evaluation of expressions.
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Percorso guidato
04:12
Algebraic Operations on Vectors
Multiplication and Division of Negative Numbers
Multiplying or dividing negative numbers follows specific rules: the product or quotient of two negatives is positive, while that of a positive and a negative is negative. Understanding these rules is essential for correctly simplifying expressions involving negative values.
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5:02Multiplying Complex Numbers
Simplifying Algebraic Expressions
Simplifying expressions involves combining like terms and performing arithmetic operations step-by-step to reduce the expression to its simplest form. This process requires careful attention to signs and operation order to avoid errors.
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6:36Simplifying Trig Expressions
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