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Applied Mathematics: For the Managerial, Life, and Social Sciences

Soo T. Tan

Chapter 1: Chapter 1

Problem 1

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Classify the number as to type. (For example, $\frac{1}{2}$ is rational and real, whereas $\sqrt{5}$ is irrational and real.) $$ -3 $$

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The given number -3 is classified as rational and real.

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TABLE OF CONTENTS :

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Step 1: Determine if the number is rational or irrational.

A number is considered rational if it can be expressed as a fraction (a/b) where a and b are integers, and b is not equal to 0. Since -3 can be expressed as a fraction $-3/1$ where both numerator and denominator are integers, we can classify -3 as a rational number.

Step 2: Determine if the number is real or complex.

Real numbers include both rational and irrational numbers. In contrast, a complex number includes a real part and an imaginary part (in the form of $a + bi$, where a and b are real numbers, and i is the imaginary unit which is the square root of -1). Since -3 does not have an imaginary part and is a rational number, it is a real number.

Step 3: Final Classification:

The given number -3 is rational and real.

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Chapter 1: Chapter 1

Classify the number as to type. (For example, \(\frac{1}{2}\) is rational and real, whereas \(\sqrt{5}\) is irrational and real.) $$ -3 $$

Short Answer

Step by step solution

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Step 1: Determine if the number is rational or irrational.

Step 2: Determine if the number is real or complex.

Step 3: Final Classification:

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More chapters from the book ‘Applied Mathematics: For the Managerial, Life, and Social Sciences’

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

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