Textbook Question
Add or subtract as indicated. Write answers in lowest terms as needed.
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Ch. R - Review of Basic Concepts
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
Chapter 1, Problem 63
Find each product or quotient where possible. -0.06(0.4)
Verified step by step guidance1
Identify the operation: The problem asks to find the product of -0.06 and 0.4, which means we need to multiply these two numbers.
Rewrite the multiplication in mathematical form: \(-0.06 \times 0.4\).
Convert the decimals to fractions or work directly with decimals: For example, \(-0.06\) can be seen as \(-\frac{6}{100}\) and \(0.4\) as \(\frac{4}{10}\), or multiply directly as decimals.
Multiply the absolute values: Calculate \(0.06 \times 0.4\) by multiplying the numbers ignoring the negative sign for now.
Determine the sign of the product: Since one number is negative and the other is positive, the product will be negative.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Decimals
Multiplying decimals involves multiplying the numbers as if they were whole numbers, then placing the decimal point in the product. The total number of decimal places in the product equals the sum of the decimal places in the factors. For example, multiplying 0.06 (two decimal places) by 0.4 (one decimal place) results in a product with three decimal places.
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Probability of Multiple Independent Events
Handling Negative Numbers in Multiplication
When multiplying numbers, the sign of the product depends on the signs of the factors. Multiplying a negative number by a positive number results in a negative product. Here, -0.06 multiplied by 0.4 will yield a negative result because one factor is negative.
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05:02Square Roots of Negative Numbers
Product and Quotient Operations
The problem asks for the product or quotient where possible, meaning multiplication or division should be performed if defined. Understanding when these operations are valid and how to compute them correctly is essential. In this case, multiplication is straightforward and defined for all real numbers.
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3:49Product, Quotient, and Power Rules of Logs
Related Practice
Textbook Question
Perform the indicated operations. (7m+2n)2
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Textbook Question
Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (5a-1)4(a2)-3
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Textbook Question
Add or subtract, as indicated. 3/(a - 2) - 1/(2 - a)
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Textbook Question
Insert ⊆ or ⊈ in each blank to make the resulting statement true. {2, 4, 6} ____ {2, 3, 4, 5, 6}
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Textbook Question
Factor each polynomial. See Examples 5 and 6. 25s4-9t2
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