Problem 41
Question
Give an example of a rational number that is not an integer.
Step-by-Step Solution
Verified Answer
\(\frac{1}{2}\) is an example of a rational number that is not an integer.
1Step 1: Define 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.
2Step 2: Define Integer
An integer is a number that can be written without a fractional or decimal component. All whole numbers are integers.
3Step 3: Identify a Rational Number that is not an Integer
An example of a rational number that is not an integer would be any number that has a non-zero fractional component. For instance, \(\frac{1}{2}\) is a rational number because it can be expressed as a fraction, but it is not an integer because it has a fractional part.
Other exercises in this chapter
Problem 40
Add or subtract as indicated. $$\frac{x^{2}-4 x}{x^{2}-x-6}-\frac{x-6}{x^{2}-x-6}$$
View solution Problem 40
Find each product. $$\left(2-y^{5}\right)\left(2+y^{5}\right)$$
View solution Problem 41
$$\text { Factor the difference of two squares.}$$ $$36 x^{2}-49$$
View solution Problem 41
Simplify each exponential expression. $$\left(-\frac{4}{x}\right)^{3}$$
View solution