define rational number positive rational number negative rational number
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Rational numbers are classified as positive, zero or negative rational numbers. When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.
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➢ Rational Number
- Rational numbers are a collective name for integers (positive integers, 0, negative integers) and fractions, and are a collection of integers and fractions.
➢ Positive and Negative Rational Numbers
- Positive rational numbers refer to mathematical terms. Except for negative, 0, and irrational numbers, positive rational numbers can be accurately expressed as the ratio of two integers.
- Negative rational numbers refer to numbers that are less than zero and can be represented by decimals. Such as -3.123, -1, etc.
Mathematically, a rational number is the ratio of an integer a to a positive integer b, such as 3/8, and the general rule is a / b. 0 is also a rational number. A rational number is a set of integers and fractions. Integers can also be regarded as fractions with a denominator of one. The fractional part of a rational number is a finite or infinitely cyclic number. Real numbers that are not rational numbers are called irrational numbers, that is, the fractional part of an irrational number is an infinite and non-cyclic number.
The set of rational numbers can be represented by the capital black symbol Q. But Q does not mean rational numbers. The set of rational numbers and rational numbers are two different concepts. The set of rational numbers is the set of all rational numbers, and the rational number is all the elements in the set of rational numbers.