Question

define:
natural no.
rational no.
real no. and
complex no.​

Answer 1

☑ NATURAL NO :

➡ A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...} ... However, i is more often used to represent the positive square root of -1, the unit imaginary number.

☑ RATIONAL NO :

➡ a rational number is anynumber that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is arational number. ... A real number that is not rational is called irrational.

☑ REAL NO :

➡ a real number is a value of a continuous quantity that can represent a distance along a line. The adjective real in this context was introduced in the 17th century by René Descartes, who distinguished between real and imaginary roots of polynomials.

☑ COMPLEX NO :

➡ A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x² = −1. Because no real number satisfies this equation, i is called an imaginary number.

Answer 2

Natural numbers:-

These are called counting numbers.

Like:- 1,2,3,4,5,6,7....∞

Rational Numbers:-

These are the numbers which we can write in the form of $\sf\dfrac{p}{q}$ where p, q are integers and q ≠ 0.

Eg:- $\sf\dfrac{8}{3}$, $\sf\dfrac{7}{4}$

Real numbers:-

Every numbers that we can use in real world are called real numbers. Real numbers contains every numbers like:- rational numbers, irrational numbers, natural numbers etc.

Eg:- 1.34 , 3.45 etc.

Complex numbers:-

These are the imaginary numbers. The complex is in the form of a + ib where a is the real part, b is the imaginary part and i(iota) = √-1 .

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