rational
In mathematics, the term “rational” refers to any number that can be expressed as a fraction of two integers
In mathematics, the term “rational” refers to any number that can be expressed as a fraction of two integers. It includes integers (whole numbers) and fractions. The word “rational” originates from the Latin word “ratio,” meaning “ratio” or “fraction.”
A rational number can be written in the form of a/b, where “a” and “b” are both integers and “b” is not equal to zero. The numerator “a” represents the counting or whole number part, and the denominator “b” represents the fractional or part of the whole.
Examples of rational numbers include 1/2, -4, 5/3, and 0.25.
It is important to note that rational numbers can be positive or negative, depending on the sign of the numerator and denominator. For instance, -3/7 is a negative rational number, while 9/2 is a positive rational number.
Rational numbers can be expressed in different forms. The most simplified form is when the numerator and denominator share no common factors other than 1. For example, 6/12 can be simplified to 1/2 by dividing both the numerator and denominator by their greatest common divisor, which is 6.
Understanding rational numbers is crucial in many areas of mathematics, such as fractions, decimals, proportions, and algebra. They form the foundation for various operations, including addition, subtraction, multiplication, and division.
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