Podcast
Questions and Answers
Which of the following numbers is an example of a rational number?
Which of the following numbers is an example of a rational number?
What is the decimal representation of the irrational number √10?
What is the decimal representation of the irrational number √10?
In the equation 2/x = 8, if x is a rational number, what is the value of x?
In the equation 2/x = 8, if x is a rational number, what is the value of x?
Which of the following is an example of an irrational number?
Which of the following is an example of an irrational number?
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Study Notes
Rational Numbers
- A rational number can be expressed as the quotient of two integers, with a non-zero denominator.
- Examples of rational numbers include integers (e.g., -3, 0, 4) and fractions (e.g., 1/2, 3/4).
Irrational Numbers
- An irrational number cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.
- Example of an irrational number: √10, which approximates to 3.162277660168379.
Solving for x
- In the equation 2/x = 8, to find x:
- Rearrange the equation to x = 2/8.
- Simplifying gives x = 1/4, which is a rational number.
Examples of Numbers
- Rational number examples include 1/2, -3, and 0.
- An example of an irrational number is √2, π, or e.
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Description
Test your knowledge of rational and irrational numbers with this quiz. Learn about the properties and examples of rational and irrational numbers, and understand their place in the number system.
