Math, asked by Brainlytrainer, 1 year ago

⭐⭐⚡⚡ hello user ⭐⭐⚡⚡

define :-

natural , whole , composite , co-prime, rational , and irrational numbers , complex number .


❄️❄️❄️define it ❄️❄️❄️

,with suitable example.

Answers

Answered by Anonymous
6
Hey mate......

here's Ur answer....

1) Natural number is an integer greater than...

Example = 1

2) Whole numbers are positive numbers including zero.

Example = 0

3) Composite numbers has factors in addition to one and itself.

Example = 2 × 3

4) Numbers, which do not have any common factor between them other than one, are called co-prime numbers.

Example = 5

5)  Number that can be rewritten as a simple fraction is a rational number.

Example = 7

6=)  Number that can not be rewritten as a simple fraction is a N irrational number.

example = Root 2 /5

7) A complex number can be imaginary if its real part is equal to zero. 

Ex = 0 + 5i

Hope it Helps❤

Brainlytrainer: super di
8171402510: Wrong
Answered by iambrainlyhelper
6
natural number :

the numbers 1,2,3,4 .. are called natural or counting numbers. the set of natural numbers is denoted by N .

example {1 ,2,3,4...}



whole number :

Natural numbers including zero are called whole numbers . the set of whole numbers is denoted by W.

thus, example W= { 0,1,2,..}


composite number :

the natural numbers excluding 1 which are not prime are known as composite numbers.


note:

a) '1 is neither prime not composite.

b) '2 is the only even number which is prime.

c) '4 is the smallest composite number.


co- prime number

two numbers are co- prime if their HCF is 1 . for example 3 & 4, 3 & 10, 12 & 35, etc.


rational number :

those numbers are that can be represented in the form p/ q where p, q are co- prime and q ≠ 0 .(because division by zero is invalid).

when q≠1 and p, q have no common factor except 1 (where p, q are both positive) the rational numbers are called fractions.

rational number when represented in decimal form are either terminating or non- terminating but recurring.

ex., 5/4 = 1.25 (terminating in zeros)

5/3= 1.666.. ( non terminating but recurring)


Irrational numbers:

numbers which can't represented in form p/q where p, q integers and q≠0 ) are called irrational numbers.

in decimal representation , they are neither terminating nor recurring hence, all surds fall in this category.

ex., √2, 5 etc

note:π≠22/7,22/7 is only an appropximate value of π in terms of rational numbers taken for convenience .

actually π = 3.14159 ...( which is a non terminating and non recurring decimal number.)


complex number:

the \: number \: of \: the \: form \: a \:  + bi \: where \: i =  \sqrt{ - 1 }  \\and \: a \: b \: are \: real \: number \: are \: \: known \: to \: be \: complex \: number.

complex number is usually denoted by z and set of complex number represented by c.


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