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Chapter 0: Problem 42

Give an example of a number that is a rational number, an integer, and a real number.

Short Answer

Expert verified
An example of a number that is rational, an integer, and a real number is 2 or -3 or 0.

Step by step solution

01

Identify a Rational Number

A rational number is any number that can be expressed as the quotient or fraction \( \frac{a}{b} \) of two integers, with the denominator \( b \) not equal to zero. Examples are \( \frac{1}{2} , 2, -3, 0 \) and so on.
02

Identify an Integer

Out of mentioned examples, identify integers. Integers are a subset of rational numbers. They can be positive, negative or zero but don鈥檛 have any fractional or decimal component. So, in our examples, \( 2, -3, 0 \) are integers.
03

Identify a Real Number

Real numbers include all rational numbers, both integers and fractions, as well as all irrational numbers. Numbers which we previously identified as both rational and integers \( 2, -3, 0 \) are also real numbers.

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Most popular questions from this chapter

Simplify each expression. Assume that all variables represent positive numbers. $$ \left(8 x^{-6} y^{3}\right)^{\frac{1}{3}}\left(x^{\frac{5}{6}} y^{-\frac{1}{3}}\right)^{6} $$

Determine whether each statement is trueor false. If the statement is false, make the necessary change(s) toproduce a true statement. $$x^{3}-64=(x+4)\left(x^{2}+4 x-16\right)$$

Factor and simplify each algebraic expression. $$\left(x^{2}+4\right)^{\frac{1}{2}}+\left(x^{2}+4\right)^{\frac{7}{2}}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Some whole numbers are not integers.

Factor and simplify each algebraic expression. $$-8(4 x+3)^{-2}+10(5 x+1)(4 x+3)^{-1}$$
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