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Mathematics 17 Online
OpenStudy (nuccioreggie):

can you divide by zero? Why or why not?

OpenStudy (nuccioreggie):

@babyx3boo.

Nnesha (nnesha):

what do you think ??

OpenStudy (nuccioreggie):

I think no

OpenStudy (babynini):

Anything multiplied by zero will always equal zero :)

OpenStudy (amistre64):

of course you can 3/0, i just did it, the thing is, what does it represent?

OpenStudy (anonymous):

Try it in a calculator. If the zero is in the numerator, the answer will be zero. If the zero is in the denominator, the result is undefined and you may also see an error message

Nnesha (nnesha):

yes you are right you divide by zero result always going to be undefined \[\frac{ x }{ 0 }=\] undefined like in real life

Nnesha (nnesha):

can't*

OpenStudy (amistre64):

its not that is undefined, its just that it needs to be defined for the application

OpenStudy (babynini):

For an elementary example: If you had 2 oranges and divided it by 0 people, how many oranges would the people get? Answer: Zero! Because there are no people in the first place :P Nobody would get anything

OpenStudy (amistre64):

if you define 1/0 = infinity, then youve defined it and it has meaning in application

OpenStudy (babynini):

@nuccioreggie I think you get it now, we're all just still ranting xD

OpenStudy (amistre64):

i dont rant ...

Nnesha (nnesha):

\(\color{blue}{\text{Originally Posted by}}\) @Babynini For an elementary example: If you had 2 oranges and divided it by 0 people, how many oranges would the people get? Answer: Zero! Because there are no people in the first place :P Nobody would get anything \(\color{blue}{\text{End of Quote}}\) why oranges ?? why not chocolates ?

Miracrown (miracrown):

division by exactly 0 is not allowed <---- that is one of the rules of division

OpenStudy (anonymous):

i tried it once

OpenStudy (babynini):

@Nnesha That. Is a very good question.

OpenStudy (amistre64):

division by zero is meaningless without a properly defining it within an application

OpenStudy (anonymous):

had to lie down for a week, almost lost my arm

Miracrown (miracrown):

lol

OpenStudy (anonymous):

i was trying to figure out how many miles per gallon i got on my bicycle

Miracrown (miracrown):

division by exactly 0 is not allowed when you learned division, if you ever did, way way back in earlier years, you also learned that rule

OpenStudy (anonymous):

i went 20 miles using no gallons of case tried to compute \[20\div 0\] and almost ended up in a hospital

OpenStudy (amistre64):

tan(90) is the slope of a vertical line ... which is n/0

OpenStudy (nuccioreggie):

Lol yea i think you cant divide by zero it dont make since

OpenStudy (anonymous):

YES!!! 3/0 = 0 5/0= - EVERYTHING divided by 0 is 0 :)

Miracrown (miracrown):

0 is just an ugly number, no one wants to get divided by it :(

Miracrown (miracrown):

technically tan(90) is undefined and so is the slope of a vertical line

Nnesha (nnesha):

3/0 = is not equal to 0 \[\frac{ 0 }{ 3 } =0\]

OpenStudy (kainui):

I would argue that all of calculus is the very careful study of how we can usefully and precisely divide zero by zero haha. Something to look forward to.

OpenStudy (mathstudent55):

Every operation between two numbers must have a unique solution. Division is defined in terms of multiplication. Division is defined as: \(c \div a = b\) if and only if \(a \times b = c\). For example, \(10 \div 2 = 5\) is true only if \( 2 \times 5 = 10\). Now let's try dividing by zero: \(x \div 0 = y\) means that \(0 \times y = x\) This is not true in general. For example, \(10 \div 0 = x\) only if \(0 \times x = 10\), but there is no number x which when multiplied by zero will result in 10. You could say then that there is no division of a nonzero number by zero, but maybe you can divide zero by zero. \(0 \div 0 = 0\) since \(0 \times 0 = 0\) The problem here is that the quotient in this case can be any number, since \(0 \times x = 0\) for all x. There is no division by zero because 1) when dividing a non-zero number by zero, no number works in the multiplication, and no answer can be found. 2) when dividing zero by zero, every number works in the multiplication, and there is no unique answer.

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