Ch. R - Algebra Review

Lial12th EditionTrigonometryISBN: 9780136552161Not the one you use?Change textbook

Lial 12th Edition

Ch. R - Algebra Review

Problem 52

Chapter 1, Problem 52

Give (a) the additive inverse and (b) the absolute value of each number. 0.16

Verified step by step guidance

Identify the given number, which is 0.16.

To find the additive inverse of a number, change its sign. So, the additive inverse of 0.16 is \(-0.16\).

Recall that the absolute value of a number is its distance from zero on the number line, always non-negative.

Since 0.16 is already positive, its absolute value is simply \(0.16\).

Summarize: (a) Additive inverse is \(-0.16\), and (b) absolute value is \(0.16\).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Additive Inverse

The additive inverse of a number is the value that, when added to the original number, results in zero. For any real number x, its additive inverse is -x. This concept is fundamental in solving equations and understanding number properties.

Absolute Value

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative. For a number x, the absolute value is denoted |x| and equals x if x is positive or zero, and -x if x is negative.

Real Numbers and Their Properties

Real numbers include all rational and irrational numbers and can be positive, negative, or zero. Understanding their properties, such as how additive inverses and absolute values apply, is essential for manipulating and interpreting numerical expressions.

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Related Practice

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In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (0, 0), radius 6

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Evaluate each expression. See Example 5. |-8|

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Textbook Question

Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(p)

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Textbook Question

In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6.

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Determine whether each function is even, odd, or neither. See Example 5. ƒ(x) = 0.5x⁴ - 2x² + 6

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Textbook Question

Add or subtract, as indicated. See Example 4. (1/6m) + (2/5m) + (4/m)

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