how we can say that every natural whole integer are also called a rational number justify your answer with suitable example
Answers
Answer:
NO, NOT every rational number is a whole number. A rational number is any number which can be expressed as the quotient of two integers, i.e., a/b, where a and b are both integers and b≠ 0, for example, the whole number 5 is a rational number because 5 = 5/1; 5 and 1 are integers; This is true for any whole number); therefore, ALL whole numbers are rational numbers, but not all rational numbers are whole numbers. The set of whole numbers is the set of all non-negative integers: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, ... }, but there are an infinite number of rational numbers which are NOT whole numbers, for example, 1/2, 2/3, 5/8, 3/4, 17/5, .6 = 3/5, 2¾ = 11/4, .7 = 7/10, and .1111111 ... = 1/9, -1/2, -1/11, -5/6, -.9, and -14/3.
Answer:
Proved.
Step-by-step explanation:
To Find:- Is every natural number, whole number and integer also a rational number.
Solution:-
Whole numbers include all the positive integers including 0.
Integers are the numbers that consists of zero, positive, negative numbers.
Natural numbers are the numbers that includes all the whole numbers except 0.
We also know that a rational number is a type of number which can be expressed in the form of a fraction p/q where p and q is any integer and q cannot be equal to zero.
So, every Natural number, Whole number and Integer is a rational number because none of them have a denominator, so denominator will never be equal to 0 and the numerator can be any integer. And we know that integer includes natural number as well as whole numbers.
For Example - Let's take the number 6, which is a natural number, a whole number and a +ve integer.
6/1 where p = 6 and q = 1, So it's a rational number.
Hence proved.
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