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Class 9 maths chapter 1: Number System concept mapping

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Answered by khushikhan6646
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Answered by hemantsuts012
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Answer:

Concept:

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

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Number System concept mapping

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Number System concept mapping

Step-by-step explanation:

A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity. These numbers are used as digits and the most common ones are O and 1, that are used to represent binary numbers. Digits from 0 to 9 are used to represent other types of number systems.

Let us discuss the different divisions under the number system.

Unary Numeral System: The simplest number system of numerals is the unary numeral system, in which each and every natural number is represented by an equivalent number of symbols. They are denoted by /.

Binary Numeral System: A binary number is used in the system of mathematics, and the world of science. In this system, the numbers are expressed in the form of a base-2 system or binary numerical system, which uses only two numbers that are O's (zeros) and 1's (ones).

• Natural Numbers: The natural (or counting) numbers are from 1, 2, 3, 4, 5, 6, 7, 8, 9, etc. Natural numbers are infinite numbers. The set of natural numbers, {1, 2, 3, 4, 5, 6, 7, 8...), is denoted by N in short form.

Integers: Integers are natural numbers consisting of the set of real numbers, their additive inverses and zero.

Rational Numbers: Rational numbers are figures which can be formulated as a ratio between two integers. For instance, the fractions 13 and -11118 are both rational numbers. Rational numbers include all the integers since any integer is denoted by z.

Real Numbers: Real numbers are the set of numbers containing all the irrational numbers and all the rational numbers. They consist of "all the numbers" on the number scale.

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