Q1. Explain why the absolute value o... [FREE SOLUTION]

Chapter 1: Q1. (page 30)

Explain why the absolute value of a number is always nonnegative, $| a |$ can equal $- a$ .

Short Answer

Expert verified

The absolute value of a number is always nonnegative.

Step by step solution

Step 1- Apply the concept of absolute value.

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Step 2- Step description.

Let $x 鈭� 鈩�$ be a real number, then its absolute value is denoted by $| x |$ and defined as $| x | = {\begin{matrix} x & x 鈮� 0 \\ 鈭� x & x < 0 \end{matrix}$

Step 3- Step description.

The absolute value of a negative numbers is $| 鈭� x | = x$

For example: The absolute value of some negative numbers is as follows:

$\begin{array}{l} | 鈭� 4 | = 4 \\ | 鈭� 10 | = 10 \\ | 鈭� 152 | = 152 \end{array}$

Therefore, the absolute value of a number is always nonnegative..

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Year	Average CPI
1950	42.1
1960	29.6
1970	38.8
1980	82.4
1990	130.7
2000	174.0

91影视

Explain why the absolute value of a number is always nonnegative, $| a |$ can equal $- a$ .

Short Answer

Step by step solution

Step 1- Apply the concept of absolute value.

Step 2- Step description.

Step 3- Step description.

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91影视

Explain why the absolute value of a number is always nonnegative, |a|can equal -a.

Short Answer

Step by step solution

Step 1- Apply the concept of absolute value.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Discrete Mathematics

Calculus

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Explain why the absolute value of a number is always nonnegative, $| a |$ can equal $- a$ .