Textbook Question
Rewrite each expression using the distributive property and simplify, if possible. See Example 7. 2(m + p)
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.2.63
Find each product or quotient where possible. See Example 2. -7.2/0.8
Verified step by step guidance1
Identify the operation to be performed. The problem asks to find the product of -7.2 and 0.8, which means we need to multiply these two numbers.
Recall that multiplication of two numbers is done by multiplying their absolute values and then applying the sign rules. Since one number is negative and the other is positive, the product will be negative.
Set up the multiplication expression as \(-7.2 \times 0.8\).
Multiply the absolute values: calculate \(7.2 \times 0.8\) by treating them as decimal numbers.
Apply the negative sign to the result from step 4 to get the final product.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Real Numbers
Multiplying real numbers involves combining their magnitudes and considering their signs. When multiplying a negative number by a positive number, the product is negative. For example, multiplying -7.2 by 0.8 results in a negative product because one factor is negative.
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3:31
Introduction to Complex Numbers
Decimal Multiplication
Decimal multiplication requires 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 decimal places in the factors. This ensures accurate calculation of products involving decimals.
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1:37Example 1
Product and Quotient in Arithmetic
The product is the result of multiplication, while the quotient is the result of division. Understanding when to multiply or divide is essential. In this question, the focus is on finding the product of two numbers, which means multiplying them directly.
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03:40Quotients of Complex Numbers in Polar Form
Related Practice
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