What is an Irrational Number?
In mathematics, a rational number is a number that can be expressed as a fraction of two integers. For example, 1/2, 3/4, and -7/10 are all rational numbers.
An irrational number, on the other hand, is a number that cannot be expressed as a fraction of two integers. The most famous example of an irrational number is pi (π), which is the ratio of a circle’s circumference to its diameter. Other examples of irrational numbers include the square root of 2 and the golden ratio.
Properties of Irrational Numbers
- Irrational numbers are non-terminating and non-repeating.
- Irrational numbers cannot be represented exactly as decimals.
- Irrational numbers are dense on the number line, meaning that there are an infinite number of irrational numbers between any two rational numbers.
Real-World Applications of Irrational Numbers
Irrational numbers have many applications in the real world, including:
- Geometry: The ratio of a circle’s circumference to its diameter is π.
- Trigonometry: The sine, cosine, and tangent functions are all defined in terms of irrational numbers.
- Physics: The speed of light is an irrational number.
- Finance: The golden ratio is used to describe the proportions of many natural objects, such as seashells and human faces.
Conclusion
Irrational numbers are an important part of mathematics and have many applications in the real world. They are non-terminating, non-repeating, and cannot be represented exactly as decimals. However, irrational numbers can be approximated by rational numbers, and they are dense on the number line.
Also Read: How Do People Get Colds
Recommend: What Should I Read After Of Mice And Men
Related Posts: Why Cant I Cancel My Groupon Order
Also Read: How To Read A Spectrogram
Recommend: How Many Hours Is In 7 Days