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Chapter 0: Problem 40

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

Short Answer

Expert verified
One example of a rational number that is not an integer is 1/2.

Step by step solution

01

Understand integers and rational numbers

An integer is a whole number that can be positive, negative, or zero. Examples of integers are -2, -1, 0, 1, 2, etc. A rational number is a number that can be expressed as a fraction a/b where a and b are integers and b 鈮� 0.
02

Find a rational number

Find a rational number i.e., a number that can be represented as a fraction. This fraction should not be equivalent to an integer. An easy way to do this is to choose a fraction where the numerator is less than the denominator.
03

Validate the rational number

Verify that the chosen rational number isn't equivalent to an integer. For instance, 1/2 is not equivalent to any integer, so it meets the criteria.

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Most popular questions from this chapter

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

Place the correct symbol, \(>\) or \(<,\) in the shaded area between the given numbers. Do not use a calculator. Then check your result with a calculator. $$\text { a. } 3^{\frac{1}{2}} \square 3^{\frac{1}{3}}$$ $$\text { b. } \sqrt{7}+\sqrt{18} \square \sqrt{7}+18$$

Fill in each box to make the statement true. $$\sqrt{x}=5 x^{7}$$

Convert 365 days (one year) to hours, to minutes, and, fi nally, to seconds, to determine how many seconds there are in a year. Express the answer in scientific notation.

Evaluate each expression. $$\sqrt[3]{\sqrt{\sqrt{169}+\sqrt{9}}+\sqrt{\sqrt[3]{1000}+\sqrt[3]{216}}}$$
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