Answer

Verified

379.8k+ views

**Hint:**In order to this question, to show whether the subtraction are not a binary operation on natural number $N$ , we will show the given statement by taking two natural number in which first number is smaller than the second number and when it will give the negative result, then it proves that subtraction are not binary operation on natural number $N$.

**Complete step-by-step solution:**

As we know that, the multiplication of natural numbers is also a natural number:

\[N \times N = N\]

Where, \[\left( {a,b} \right) = a - b\]

here a and b are natural numbers \[\left( {i.e.1,2,3,4,5,6,7,8,9...............} \right)\]

Now,

let \[a = 3\] and \[b = 5\]

\[a - b = 3 - 5\]

but since \[ - 2\] is not a natural number

\[\therefore \] Subtraction is not a binary operation on $N$ (natural number).

**Note:**The term "binary" refers to something that is made up of two parts. A binary operation is nothing more than a law for combining two values to produce a new one. The most well-known binary operations are addition, subtraction, multiplication, and division on different sets of numbers, which were taught in elementary school.

A binary operation on a set is a calculation that involves two set elements to generate another set element.

Natural numbers, which include all positive integers from 1 to infinity, are a part of the number system. Natural numbers, which do not contain zero or negative numbers, are also known as counting numbers. They are just positive integers, not zero, fractions, decimals, or negative ones, and they are a part of real numbers.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

The states of India which do not have an International class 10 social science CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

How do you graph the function fx 4x class 9 maths CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

Name the three parallel ranges of the Himalayas Describe class 9 social science CBSE