Is 75 Rational? Understanding Rational Numbers

Is 75 a rational number? The simple answer is yes. Let's dive into why and explore what makes a number rational. — GMT To EST: Convert Greenwich Mean Time To Eastern Time

Understanding Rational Numbers

A rational number is any number that can be expressed as a fraction ${ \frac{p}{q} }$, where ${ p }$ and ${ q }$ are integers and ${ q \neq 0 }$. In simpler terms, if you can write a number as one whole number divided by another (excluding division by zero), it's rational. — Living Ex-Presidents: Who Are They?

Why 75 is Rational

The number 75 can be written as ${ \frac{75}{1} }$. Here, both 75 and 1 are integers, and the denominator is not zero. Therefore, it fits the definition of a rational number perfectly.

Examples of Rational Numbers

• Integers: Any whole number, positive or negative, is rational (e.g., -5, 0, 10).
• Fractions: Numbers like ${ \frac{1}{2} }$, ${ \frac{3}{4} }$, and ${ \frac{-2}{5} }$ are rational.
• Terminating Decimals: Decimals that end (e.g., 0.25, 1.75) can be written as fractions.
• Repeating Decimals: Decimals with repeating patterns (e.g., 0.333..., 1.666...) are also rational because they can be converted into fractions.

Examples of Irrational Numbers

Irrational numbers cannot be expressed as a simple fraction. Common examples include:

• ${ \sqrt{2} }$ (square root of 2)
• ${ \pi }$ (pi, approximately 3.14159...)

Expressing 75 as a Fraction

To reiterate, 75 can be easily expressed as ${ \frac{75}{1} }$. This simple representation confirms its rationality. — Walker Lyons Injury: Latest Updates And Impact

Conclusion

Yes, 75 is indeed a rational number because it meets the criteria of being expressible as a fraction ${ \frac{p}{q} }$, where ${ p }$ and ${ q }$ are integers and ${ q \neq 0 }$. Understanding what makes a number rational helps in grasping more complex mathematical concepts. If you found this helpful, share it with others!