10 points if u can give me the definitions of....?

Question

a natural number, a whole number, an integer, a rational number, an irrational number, a real number, and an imaginary number. You also have to tell me if positive or negatives or both belong to each category and if they go with fractions or decimals

Answer 1

i doubt anyone will do all of that for just 10 points.

Answer 2

In mathematics, a natural number is either a positive integer (1, 2, 3, 4, ...) or a non-negative integer (0, 1, 2, 3, 4, ...). The former definition is generally used in number theory, while the latter is preferred in set theory and computer science.

Natural numbers have two main purposes: they can be used for counting ("there are 3 apples on the table"), and they can be used for ordering ("this is the 3rd largest city in the country").

The whole numbers are the nonnegative integers (0, 1, 2, 3, ...)

The set of all whole numbers is represented by the symbol = {0, 1, 2, 3, ...}

Algebraically, the elements of form a commutative monoid under addition (with identity element zero), and under multiplication (with identity element one).

The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. A formal way of stating this: the integers are the only integral domain whose positive elements are well-ordered, and which has order preserved under addition. Like the natural numbers, the integers form a countably infinite set. The set of all integers is usually denoted in mathematics by a boldface Z (or blackboard bold, ), which stands for Zahlen (German for "data" or "figures").

In mathematics, a rational number (commonly called a fraction) is a ratio or quotient of two integers, usually written as the vulgar fraction a/b, where b is not zero.

In mathematics, an irrational number is any real number that is not a rational number, i.e., it is not of the form where a and b are integers and b is not equal to zero. It can readily be shown that the irrational numbers are precisely those numbers whose expansion in any given rational base (decimal, binary, etc) never ends and never enters a periodic pattern. Almost all real numbers are irrational, in a sense which is defined more precisely below.


In mathematics, the set of real numbers, denoted R, is the set of all rational numbers and irrational numbers. A real number may be defined as a complex number with zero imaginary part or thought of as any point on an infinitely long number line.


In mathematics, an imaginary number (or purely imaginary number) is a complex number whose square is a negative real number

Answer 3

Natural number = a positive integer or zero; one of the set of positive whole numbers.
Whole number = one of the positive integers or zero; also called counting numbers.
Integer = a positive or negative number or zero.
Rational number = an integer or fraction; a number that can be expressed exactly by a ratio of two integers.
Irrational number = a real number that cannot be expressed as a rational number; the decimal expansion of an irrational number is infinite but does not end in an indefinite repeating sequence of digits; examples are pi and the square root of 2.
Real number = a number that is rational or irrational; not an imaginary number
Imaginary number = a complex number having its real part equal to zero.

Answer 4

In mathematics, a natural number is either a positive integer (1, 2, 3, 4, ...) or a non-negative integer

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.

A real number may be defined as a complex number with zero imaginary part or thought of as any point on an infinitely long number line.

In mathematics, an imaginary number (or purely imaginary number) is a complex number whose square is a negative real number.

Answer 5

Hi. An integer is a number with no fractions or decimal parts. 10 points? No? Well the square root of -1 to you!

Answer 6

NATURAL NUMBER: All the positive numbers from 1,2,3,4 ..........up to infinity
WHOLE NUMBER:All the positive numbers from 0,1,2,3,4 ..........up to infinity
AN INTEGER:All the positive and negative numbers from negative infinity........-4,-3,-2,-1,0, 1,2,3,4 ..........up to positive infinity
RATIONAL NUMBERS: Which can be written in the form P/Q where P and Q are integers
IR-RATIONAL NUMBER: Which cannot be written in the form P/Q
where P and Q are integers
REAL NUMBER:Natural number, a whole number, integers, rational and ir- rational numbers are real numbers
IMAGINARY NUMBER: Which can be written in iota form i.e.i

Answer 7

2 decimals

Answer 8

Well i would give you the answers but i have to do the same homework so when you find out what the answer is tell me plz!

Answer 9

How about an A in math if you did your own homework

Answer 10

nah. . . its too much work for 10 points . . .but i wish you good luck for only 2