Do 10 divide by 0 and 0 divide by 10 have the same answer?

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Do 10 divide by 0 and 0 divide by 10 have the same answer?

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Answer 1 · 2016-06-09T23:10:56

No.

$\frac{10}{0}$ $10/0$ is UNDEFINED

$\frac{0}{10} = 0$ $0/10=0$

Explanation:

Start from a definition of an operation of division.
$a$ $a$ divided by $b$ $b$ is such a number $c$ $c$ that $a = b \cdot c$ $a=b*c$ .

So, $\frac{10}{0}$ $10/0$ must be such a number that, if multiplied by $0$ $0$ , gives $10$ $10$ . But any number multiplied by $0$ $0$ gives $0$ $0$ , not $10$ $10$ .
Therefore, $\frac{10}{0}$ $10/0$ is UNDEFINED.

Next, $\frac{0}{10}$ $0/10$ is a number that, if multiplied by $10$ $10$ , gives $0$ $0$ . The only number with such a property is $0$ $0$ because $0 \cdot 10 = 0$ $0*10=0$ . Any other number, multiplied by $10$ $10$ , will not result in $0$ $0$ .
Therefore, $\frac{0}{10} = 0$ $0/10=0$ .

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Do 10 divide by 0 and 0 divide by 10 have the same answer?

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