Question

write the Definitions of natural numbers whole numbers , integers, Rational numbers, lrrational numbers, polynomial, types of polynomial with examples.

please help me holidays home work class 9
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Answer 1

$\huge\red{Natural\:Numbers}$

In mathematics, the natural numbers are those used for counting and ordering. In common mathematical terminology, words colloquially used for counting are "cardinal numbers", and words used for ordering are "ordinal numbers"

$\huge\red{Whole\:Numbers}$

In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.

$\huge\red{Integers}$

An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.

$\huge\red{Rational\:Numbers}$

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

$\huge\red{Irrational\:Numbers}$

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.

$\huge\red{Polynomial}$

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

$\huge\red{Types\:of\:polynomial}$

1. A monomial is an expression which contains only one term. For an expression to be a monomial, the single term should be a non-zero term. A few examples of monomials are:

5x, 3, 6a4, -3xy

2. A binomial is a polynomial expression which contains exactly two terms. A binomial can be considered as a sum or difference between two or more monomials. A few examples of binomials are:

– 5x+3,6a4 + 17x, xy2+xy

3. A trinomial is an expression which is composed of exactly three terms. A few examples of trinomial expressions are:

– 8a4+2x+7, 4x2 + 9x + 7