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Concept of Number System
Number System Questions is used in nearly every single subject matter in maths. It to a great extent describes the significance of this subject. Number System mostly involves additional sub-topics such as HCF & LCM, factors, factorials, cyclicity, Euler number, digital root, unit digit, and more. The conception of unit digit can be well-read by assuming out the unit digits of all the sole digits ranging from 0 – 9 when elevated to definite capacities. The numbers are widely categorized into three groups for this us


Important definitions for solving Number System Questions:
- Natural Numbers: All positive integers are called natural numbers. All counting numbers from 1 to infinity are natural numbers. N = {1, 2, 3, 4, 5, 6……..∞}
- Whole Numbers: The set of numbers that includes all natural numbers and the number zero are called whole numbers. They are also called as Non-negative integers. W = { 0,1,2,3,4,5,6,7,8,………∞}
- Integers: All numbers that do not have the decimal places in them are called integers. Z = {∞…….-3, -2, -1, 0, 1, 2, 3………∞}
- Real Numbers:Â All numbers that can be represented on the number line are called real numbers.
- Rational Numbers: A rational number is defined as a number of the form a/b where ‘a’ and ‘b’ are integers and b ≠0. The rational numbers that are not integers will have decimal values. These values can be of two types
- Irrational Numbers:Â Â It is a number that cannot be written as a ratio.An Irrational numbers are non-terminating and non-periodic fractions.