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In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case. Using fraction notation, the general example can be written as , where is the dividend (numerator).
Dividing by Zero is undefined. To see why, let us look at what is meant by "division": Division is splitting into equal parts or groups. It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates? So they get 4 each: 12/3 = 4. Dividing by Zero.
In mathematics, division by zero is where the divisor (denominator) is zero and is of the form \frac {a} {0} 0a. Suppose now we applied this operation to some numbers x x and a a. Assume a\neq 0 a = 0. x=\frac {a} {0} x = 0a. Since division is the inverse of multiplication, x\times 0=a x×0 = a.
Why some people say it's 0: Zero divided by any number is 0. Why some people say it's 1: A number divided by itself is 1. Only one of these explanations is valid, and choosing the other explanations can lead to serious contradictions. Reveal the correct answer.
10 gru 2018 · Here is what we mean by "indeterminate." The value of 1/0 is called "undefined" because there is NO number x that satisfies the equation 1/0 = x, or equivalently, 0*x = 1. In contrast, EVERY number x satisfies the equation 0/0 = x, or equivalently, 0*x = 0.
10 sty 2018 · If you divide a number by zero – it means you aren’t dividing it at all, since 0 means no quantifiable amount, so if you are not dividing something by a quantifiable amount (0) then you are not dividing it at all.
14 lis 2024 · Division by zero is the operation of taking the quotient of any number and 0, i.e., . The uniqueness of division breaks down when dividing by zero, since the product is the same for any , so cannot be recovered by inverting the process of multiplication .
