Problem 42
Question
Give an example of a number that is a rational number, an integer, and a real number.
Step-by-Step Solution
Verified Answer
An example of a number that is a rational number, an integer, and a real number is 2.
1Step 1: Understanding the Definitions
First, understand what each of these types of numbers are. Rational numbers can be expressed as the ratio of two integers. An integer is a whole number that can be zero, positive or negative. Real numbers include all integers, fractions, and irrational numbers.
2Step 2: Finding a Number
Since we're looking for a number that fits all three categories, we can choose any integer, because all integers are rational (can be expressed as a ratio where the denominator isn't zero) and are also considered real numbers.
3Step 3: Confirmation
Let's choose the number 2. It's an integer, it's also rational because it can be expressed as 2/1, and it's real because it exists on the number line.
Other exercises in this chapter
Problem 41
Find each product. $$(x+2)^{2}$$
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$$3 \sqrt{18}+5 \sqrt{50}$$
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$$\text { Factor the difference of two squares.}$$ $$64 x^{2}-81$$
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Simplify each exponential expression. $$\left(-\frac{6}{y}\right)^{3}$$
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