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0 × 1 0 = 0. But we could also rearrange it a little like this: 0 × 1 0 = 0 0 × 1 = 1. (Careful! I am not saying this is correct! We are assuming that we can divide by zero, so 0 0 should work the same as 5 5, which is 1). Arrggh! If we multiply 1 0 by zero we could get 0 or 1. In fact we can't have both possibilites, so we cannot define 1 0 ...
Apr 23, 2019 · Consider a problem where you have to divide a finite number like $5$ by zero. $5\div0$ is essentially a request for some number which when multiplied by zero gives you $5$: $$5\div0=N\implies 0\cdot N=5.$$ Is there a number that when multiplied by zero gives you $5$? The answer is clearly no because any number times zero always gives you zero.
A positive or negative number when divided by zero is a fraction with the zero as denominator. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. In 830, Mahāvīra unsuccessfully tried to correct the mistake ...
Explanation of why dividing by zero is undefined, using general mathematical considerations.
Example: 78 ÷ 0 = undefined (but 0 ÷ 78 = 0). When the dividend equals the divisor, which means the same numbers but not 0, then the answer is always 1. For examples: 36 ÷ 36 = 1. Zero is a real number, an integer, a rational number, and a whole number. Zero is always neutral i.e. zero is never written like +0 or -0.
Dec 10, 2018 · Put more mathematically: 0/n = 0 for all non-zero numbers n. You get into the tricky realms when you try to divide by zero itself. It's not true that a number divided by 0 is always undefined. It depends on the problem. I'm going to give you an example from calculus where the number 0/0 is defined.
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