- 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
Student Forum
Answered 3 weeks ago
CLAT does not publish a fixed count for Number System questions. The UG exam stays largely passage-based. This topic supports calculation inside Quantitative Techniques passages. It does not appear as standalone questions.
S
Contributor-Level 10
Answered 3 weeks ago
Number System questions cover many types. These include basic property checks, combined divisibility conditions, HCF and LCM problems, remainder patterns and multi condition reasoning. They test calculation speed and accuracy.
S
Contributor-Level 10
Answered 3 weeks ago
Students can improve step by step. Learn divisibility rules. Practise HCF and LCM daily. Work through remainder questions carefully. Regular revision of common traps also builds accuracy and speed.
S
Contributor-Level 10
Answered 3 weeks ago
There is no single fixed book for this topic. Students often use standard Class 10 level maths books. Combine these with regular practice sets and previous year papers to build accuracy.
S
Contributor-Level 10
Answered 3 weeks ago
Students should start early. Practice Number System alongside other Quantitative Techniques topics. Strong basics make combined divisibility and multi condition questions easier later.
S
Contributor-Level 10
Answered 3 weeks ago
Number System is not a separate scored CLAT topic. But the calculation skills help with passage-based Quantitative Techniques questions. Skipping it fully is not wise. Most passages need quick, accurate number work.
S
Contributor-Level 10
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