How Many Types Of Rational Numbers?

There are two types of rational numbers: fractions and whole numbers. A fraction is a type of number expressed as the quotient of two integers, such as 3/4 or -5/2. A whole number is a number that can be expressed without a fractional component, such as 7 or -3.

Rational numbers can be expressed as the quotient of two integers. Many sets of numbers can be written as a ratio or as a fraction of two integers. They are also called fractions and are represented by the symbol 'rat'. Rational numbers can be positive or negative and can be expressed as decimals or fractions. They can also be expressed as recurring decimals with a repeating pattern of digits after the decimal point.

Examples of rational numbers include 2/3, -5/2, 0.5, -0.75, and 1.5.

Properties of Rational Numbers

One of the most important properties of rational numbers is that they can be expressed as a ratio of two integers. This means rational numbers can be written as fractions. Where the numerator and denominator are integers. This makes them different from irrational numbers, which can't be expressed as a ratio of two integers. For example, the square root of 5 is irrational because it cannot be expressed as a ratio of two integers.

Another important property of rational numbers is that they can be expressed as decimals. This means rational numbers can be written as decimals, where the digits after the decimal point terminate or repeat. This is what makes them different from repeating decimals, which are decimals that have a repeating pattern of numbers after the decimal point.

Rational numbers can also be represented as percentages. A percentage is a way of expressing a number as a fraction of 100. For example, 50% can be written as the fraction 50/100 or as the decimal 0.50.

Types Of Rational Numbers

Following is a list of all the different types of rational numbers.

• Rational numbers include integers like -3, 0, 2, etc.

• Rational numbers include fractions like 3/5, -7/6, etc., that have integer numerators and denominators.

• Rational numbers include decimals that end in 0, such as 0.53, 0.1176, 0.7968, etc.

• Rational numbers include non-terminating decimals with recurring patterns (after the decimal point), such as 0.555, 0.242424, etc. These are referred to as non-terminating repeating decimals.

List of Rational Numbers

There are an unlimited number of rational numbers, as shown from the facts above. As a result, it is impossible to compile a complete list of rational numbers. A few examples of rational numbers are 9, 4.57, 3/4, 0, -7, and so forth. This demonstrates that all decimals (including terminating decimals and recurring decimal numbers), whole numbers, integers, fractions, and decimals are thought to be rational numbers.

The rational numbers are denoted by Q, and it is important to note that the set of rational numbers is closed under the operations of addition, subtraction, multiplication and division. This means that if we take two rational numbers and perform any of these operations on them, the result is always a rational number. For example, if we take the rational number 2/3 and the rational number 3/4 and add them together, we get the rational number 17/12.

Positive and Negative Rational Numbers

Positive and negative rational numbers can be distinguished from each other. It is referred to as a positive rational number when both the numerator and denominator are positive or negative. Negative rational numbers have one positive and one negative integer in either the numerator or the denominator.

In conclusion, there are two types of rational numbers: fractions and whole numbers. Rational numbers can be positive or negative and can be expressed as decimals or fractions. They can also be expressed as recurring decimals with a repeating pattern of digits after the decimal point. The set of all rational numbers is denoted by Q, which is closed under the operations of addition, subtraction, multiplication and division.

Examples of Rational Number

• 36 (which can be written as 36/1)

• 0 (which is another form of 0/1)

• 1/6

• √25, which is equal to 4

• -1/4

• 0.7 or 7/10

• -0.9 or -9/10

• 0.161616.. or 16/99