Is -4 a Rational Number?
Understanding the concept of rational numbers is crucial in mathematics. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers and the denominator is not zero.
Let's explore if -4 is a rational number.
How to Determine if a Number is Rational
To determine if a number is rational, you need to check if it meets the criteria of being expressible as a fraction of integers.
Here's a simple breakdown:
- Integer: An integer is a whole number, including both positive and negative numbers, as well as zero. Examples: -3, 0, 5, 100.
- Fraction: A fraction is a representation of a part of a whole, expressed as a division of two numbers. Examples: 1/2, 3/4, 5/7.
Applying the Definition to -4
Can -4 be expressed as a fraction of integers? Absolutely! We can write -4 as:
- -4/1
This fraction fulfills the criteria of a rational number:
- -4 is an integer (the numerator).
- 1 is an integer (the denominator) and is not zero.
Conclusion
Therefore, -4 is indeed a rational number. It can be written as a fraction of two integers, making it a rational number.