Rational
In mathematics, rational numbers refer to numbers that can be expressed as a fraction of two integers
In mathematics, rational numbers refer to numbers that can be expressed as a fraction of two integers. The word “rational” comes from the Latin word “rationalis” which means “to reason.” Rational numbers can be positive, negative, or zero.
A rational number can be written as the quotient of two integers, where the denominator is not zero. For example, 1/2, -3/4, 5/1, and 0/7 are all rational numbers.
Rational numbers include both terminating and repeating decimals. For example, 0.25 is a rational number because it can be expressed as 1/4. Similarly, 0.333… is a rational number because it can be written as 1/3.
Rational numbers form a subset of real numbers, which also include irrational numbers. Irrational numbers cannot be expressed as a fraction of two integers and have decimal representations that either never end or never repeat. Examples of irrational numbers include the square root of 2 (√2), pi (π), and e.
Operations involving rational numbers, such as addition, subtraction, multiplication, and division, can be performed using the rules of fractions. For example, to add 1/2 and 3/4, you need to find a common denominator (in this case, 4) and then add the numerators. So, 1/2 + 3/4 = (1*2 + 3*1) / 4 = 5/4.
It is worth noting that dividing by zero is undefined, so a fraction with a zero denominator is not a rational number.
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