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Chapter 1: Problem 44

Give an example of a number that is a real number, but not an irrational number.

Short Answer

Expert verified
An example of a number that is a real number but not an irrational number can be 2.

Step by step solution

01

Understand Real Numbers

Real numbers include all numerical values that can be represented on a number line. This includes integers, fractions, decimals (both repeating and terminating), and irrational numbers (which cannot be written as simple fractions).
02

Understand Irrational Numbers

Irrational numbers are a subset of real numbers that cannot be represented as a simple fraction. They are non-repeating, non-terminating decimals, like \( \sqrt{2} \) or \( \pi \).
03

Find a Real Non-Irrational Number

To fulfill the exercise's requirements, the number chosen needs to be a real number but not an irrational one. An easy way is to choose a number from one of the other subsets of real numbers, for instance, an integer. Let's choose the integer 2 as it is a real number but not irrational, as it can be represented as a simple fraction (2/1).

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Most popular questions from this chapter

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Without adding numbers, I can see that the sum of \(-227\) and 319 is greater than the sum of 227 and \(-319\)

Evaluate both expressions for \(x=4 .\) What do you observe? $$3(x+5) ; 3 x+15$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. It takes me too much time to add real numbers with a number line.

From here on, each exercise set will contain three review exercises. It is essential to review previously covered topics to improve your understanding of the topics and to help maintain your mastery of the material. If you are not certain how to solve a review exercise, turn to the section and the worked example given in parentheses at the end of each exercise. Determine whether 18 is a solution of \(16=2(x-1)-x\) (Section 1.1, Example 4)

Explain how to determine the sign of a product that involves more than two numbers.
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