community around the world.

Activity Discussion Math Why any number is not divisible by zero? Reply To: Why any number is not divisible by zero?

• ### Aniket

Member
June 16, 2023 at 6:38 pm
0

Let’s understand the answer to this question step by step.

1. What is Division?

Answer: Division is the process of equally distributing a quantity among a given number of parts.

2. How does it work?

Answer: Let’s consider the example 8/2, which means 8 divided by 2. The answer to this question would be 4. According to the definition of division, we need to divide 8 into 2 parts, ensuring that each part contains an equal number of units and the sum of all the divided units should be 8. The only way to divide 8 in this situation is {4, 4}.

3. An easier way to understand.

Easy Way: We can express the division expression for the above example as 8/2 = 4. Similarly, if we divide a number x by y and the answer is z, it can be written as x/y = z. Here, x, y, and z are arbitrary numbers.

4. Now, why is any number not divisible by zero?

Answer: Any number divided by zero is undefined because, according to the definition of division, we would need to divide a number equally among zero parts, which is impossible. There is no way to distribute a quantity equally among zero parts. Mathematically, if we consider a number x and divide it by zero, we would need to find a value y such that 0 multiplied by y equals x. However, no matter what value we assign to y, the product will always be zero, not the number x, because any number multiplied by 0 is 0. Thus, any number divided by zero is undefined.

5. Division by zero leads to various mathematical inconsistencies and contradictions since there is no way to distribute a quantity equally among zero parts. Therefore, it is not allowed.

+