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Chapter 1: Problem 39

Give an example of a rational number that is not an integer.

Short Answer

Expert verified
An example of a rational number that is not an integer is \( \frac{3}{2} \)

Step by step solution

01

Understanding the difference between rational numbers and integers

Rational numbers are numbers that can be expressed as a fraction using integers, where the denominator is not zero. Integers, on the other hand, are whole numbers, including zero, and their opposites (negative numbers). Integers can be thought of as fractions where the denominator is one.
02

Finding a rational number that is not an integer

To find a rational number that is not an integer, simply think of a fraction where the denominator is not one. Also, avoid fractions that can be simplified to an integer, such as \( \frac{2}{2} \) or \( \frac{6}{3} \)
03

Providing an example

An example of a rational number that is not an integer would be \( \frac{3}{2} \)

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Most popular questions from this chapter

Let \(x\) represent the number. Express each sentence as a single algebraic expression. Then simplify the expression. Multiply a number by 3. Add 9 to this product. Subtract this sum from the number.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If \(x\) is \(-3,\) then the value of \(-3 x-9\) is \(-18\)

Without a calculator, you can add numbers using a number line, using absolute value, or using gains and losses. Which method do you find most helpful? Why is this so?

Use a calculator to find a decimal approximation for each irrational number, correct to three decimal places. Between which two integers should you graph each of these numbers on the number line? $$\sqrt{3}$$

Explain how to multiply two real numbers. Provide examples with your explanation.
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