Is 1 rational or irrational?
Understand the Problem
The question is asking whether the number 1 is classified as a rational number or an irrational number. A rational number is one that can be expressed as a fraction of two integers, whereas an irrational number cannot be expressed in such a way. Since 1 can be expressed as 1/1, it is considered a rational number.
Answer
1 is a rational number.
Answer for screen readers
The number 1 is a rational number.
Steps to Solve
- 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 $b \neq 0$.
- Expressing the Number 1 as a Fraction
To determine if 1 is rational, we can express it as a fraction. The number 1 can be written as:
$$ \frac{1}{1} $$
Here, both 1 (the numerator) and 1 (the denominator) are integers, and the denominator is not zero.
- Conclusion about Rationality
Since 1 can be expressed as a fraction of two integers where the denominator is not zero, we conclude that 1 is indeed a rational number.
The number 1 is a rational number.
More Information
The classification of numbers into rational and irrational is an important concept in mathematics. Rational numbers include integers, fractions, and finite or repeating decimals, while irrational numbers include numbers like $\sqrt{2}$ and $\pi$, which cannot be written as a simple fraction.
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