Is 14 rational or irrational?
Understand the Problem
The question is asking us to determine whether the number 14 can be expressed as a fraction of two integers. A rational number can be written as a/b, where a and b are integers and b is not zero, while an irrational number cannot be expressed in this way.
Answer
$ \frac{14}{1} $
Answer for screen readers
14 can be expressed as a fraction, for example, $ \frac{14}{1} $.
Steps to Solve
- Identify the definition of rational numbers
Rational numbers are defined as numbers that can be expressed in the form $ \frac{a}{b} $, where $ a $ and $ b $ are integers, and $ b \neq 0 $.
- Express 14 as a fraction
We can express the integer 14 in the form of a fraction. A simple way to do this is to take 14 as $ \frac{14}{1} $. Here, $ 14 $ is the numerator (the integer) and $ 1 $ is the denominator.
- Check the denominator
Validate that the denominator is not zero. In our fraction $ \frac{14}{1} $, the denominator is 1, which is a valid integer and not zero.
- Conclusion
Since we successfully wrote 14 as a fraction $ \frac{14}{1} $ with integers in both the numerator and denominator, we conclude that 14 is a rational number.
14 can be expressed as a fraction, for example, $ \frac{14}{1} $.
More Information
The number 14 is considered a rational number because it can be expressed in the form of a fraction, which is a key characteristic of rational numbers. In fact, every integer is a rational number.
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