Write the defination of natural number , whole number, rational and irational number with ecamples
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Step-by-step explanation:
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.
Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on)
number line whole
No Fractions!
Examples: 0, 7, 212 and 1023 are all whole numbers
(But numbers like ½, 1.1 and 3.5 are not whole numbers.)
An irrational number is a number that is NOT rational. It cannot be expressed as a fraction with integer values in the numerator and denominator. Examples: When an irrational number is expressed in decimal form
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
The number 8 is a rational number because it can be written as the fraction 8/1.
Likewise, 3/4 is a rational number because it can be written as a fraction.
Even a big, clunky fraction like 7,324,908/56,003,492 is rational, simply because it can be written as a fraction.
Every whole number is a rational number, because any whole number can be written as a fraction. For example, 4 can be written as 4/1, 65 can be written as 65/1, and 3,867 can be written as 3,867/1.
natural numbers. all counting numbers from 1 to infinity are called natural numbers. ex 1,5 ,686, etc
whole numbers- all counting numbers together with 0 are called whole numbers. ex 0,1,575, etc
rational numbers- all the numbers in thd form of p/q whwre p and q are integers in the simplest form and q is not equal to 0. ex1/2. ,4/7 etc
irrational numbers - the numbers which are non repeatimg and non terminating and doesn't have a perfect solution are called irrational numbers. ex root2, 1.2322322223....... etc