Chapter 1: Q60. (page 24)

Writing Absolute value can be defined as follows: $|a| = a if a \geq 0, and |a| = - a if a < 0$ . Explain why this definition agrees with the one given at the top of page 23.

Short Answer

Expert verified

$| a | = a if a \geq 0$

$| a | = - a if a < 0$ .

Step by step solution

Step-1 – Concept of integers

Integers include the positive and negative whole numbers including zero. An integer cannot be a decimal or fractional part with it.

The set of integers is denoted by the numbers $. . ., - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, . . .$

Step-2 – Concept of absolute value

The absolute value is defined as the distance of a number from 0 on a number line.

Step-3 – Explanation

For every number mod or absolute value gives the positive terms of that number so when inside the mod number is greater than 0 to do that number positive we take positive sign and when inside the mod number is less than 0 so, to do that number positive and remove the mod we use negative sign and remove the mod.

$| a | = a if a \geq 0$

$| a | = - a if a < 0$

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Writing Absolute value can be defined as follows: $|a| = a if a \geq 0, and |a| = - a if a < 0$ . Explain why this definition agrees with the one given at the top of page 23.

Short Answer

Step by step solution

Step-1 – Concept of integers

Step-2 – Concept of absolute value

Step-3 – Explanation

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Writing Absolute value can be defined as follows: a=aifa≥0,anda=-aifa<0. Explain why this definition agrees with the one given at the top of page 23.

Short Answer

Step by step solution

Step-1 – Concept of integers

Step-2 – Concept of absolute value

Step-3 – Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Pure Maths

Geometry

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Writing Absolute value can be defined as follows: $|a| = a if a \geq 0, and |a| = - a if a < 0$ . Explain why this definition agrees with the one given at the top of page 23.