answer the following questions :-
I) what is natural number ?
ii) What is whole number ?
iii) what is rational number ?
iv) what is irrational number ?
v) what is real numbers ?
vi) what is integers ?
Answers
Answer:
1)Natural numbers are all positive numbers like 1, 2, 3, 4, and so on. They are the numbers you usually count and they continue till infinity. Whereas, the whole numbers are all natural numbers including 0, for example, 0, 1, 2, 3, 4, and so on.
2)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.
3)Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers.
4)An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
5)This indicates that real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers. For example, 3, 0, 1.5, 3/2, ⎷5, and so on. The numbers that are neither rational nor irrational are not real numbers, like, ⎷-1, 2+3i and -i. These numbers include the set of complex numbers, C.
6)Integer, whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3, and the operation of subtraction. When a counting number is subtracted from itself, the result is zero; for example, 4 − 4 = 0.