- Types of Numbers
- Natural Numbers
- Properties of natural numbers
- Real Numbers
- Properties of real numbers
- Rational Numbers
- Properties of rational numbers:
- Irrational Numbers
- Properties of Irrational Numbers
- Imaginary Numbers
- Properties of Imaginary Numbers
- Illustrated Examples
Types of Numbers
Based on their properties and how they are addressed in the number line, the numbers are divided into different types. Each classification of the number is provided with its description, the properties, and the examples to understand it better. The different types of numbers are:
Natural Numbers
Natural Numbers are also termed as “counting numbers”, which contain a series of positive integers of 1 to unlimited. The number of natural numbers is represented by the letter "N". The game of natural numbers is defined by:
N = {1, 2, 3, 4, 5, … .}
Properties of natural numbers
- The addition of natural numbers is closed, associative and commutative.
- The natural number of multiplication is closed, associative and commutative.
- The identity element of a natural number to the addition is zero.
- The identity element of a natural number under multiplication is one.
Real Numbers
Any number such as positive integers, negative integers, fractional numbers or decimal numbers without imaginary numbers are called the actual numbers. It is represented by the letter "R". It is represented by the letter "R."
Models: ¾, 0.333, √2, 0, 10, 20, etc.
Properties of real numbers
- The actual numbers are commutative, associated, and distributive under addition and multiplication.
- The actual figures obey the reverse property.
- The additive and multiplicative identity elements of real numbers are 0 and 1, respectively.
Rational Numbers
Any written number in the form of P / Q, that is to say, that a ratio of a number on another number is called digital rational. A rational number can be represented by the letter "Q".
Models: 7/1, 10/2, 1/1, 0/1, etc.
Properties of rational numbers:
- The rational figures are closed under addition, subtraction, multiplication, and division.
- It satisfies the commutative goods and is associated with addition and multiplication.
- It obeys a distributive property to add and subtract.
Irrational Numbers
The number that cannot be expressed in the form of P / Q. This means a number that cannot be written because the report of another is called irrational numbers. It is represented by the letter "p".
Models: √2, π, Euler's steady, and so on
Properties of Irrational Numbers
Imaginary Numbers
Properties of Imaginary Numbers
Illustrated Examples
Maths Number System Exam
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