Another proof that dividing by 0 does not exist — is it right? The Next CEO of Stack OverflowIntuitive understanding of the uniqueness of the Fundamental Theorem of Arithmetic.Understanding the proof that uses Pumping Lemma that the language $C =w mid w$ has an equal number of $0$'s and $1$'s$$ is not regularOn the proof that every positive continuous random variable with the memoryless property is exponentially distributedProve that every element in $mathbbZ_p setminus left0right$, $p$ prime has a multiplicative inverseFind all possible positive integers $n$ such that $3^n-1 + 5^n-1 mid 3^n + 5^n $. Proof explanationProof that composite function does not exist.Proof that $sqrt2$ is irrationalShow that $langle Xrangle$ is the unique maximal ideal of $F[[X]]$.The sum of two odd numbers is evenHow to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$
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Another proof that dividing by 0 does not exist is it right?
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Another proof that dividing by 0 does not exist — is it right?
The Next CEO of Stack OverflowIntuitive understanding of the uniqueness of the Fundamental Theorem of Arithmetic.Understanding the proof that uses Pumping Lemma that the language $C =w mid w$ has an equal number of $0$'s and $1$'s$$ is not regularOn the proof that every positive continuous random variable with the memoryless property is exponentially distributedProve that every element in $mathbbZ_p setminus left0right$, $p$ prime has a multiplicative inverseFind all possible positive integers $n$ such that $3^n-1 + 5^n-1 mid 3^n + 5^n $. Proof explanationProof that composite function does not exist.Proof that $sqrt2$ is irrationalShow that $langle Xrangle$ is the unique maximal ideal of $F[[X]]$.The sum of two odd numbers is evenHow to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$
$begingroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-explanation
edited 6 mins ago
J. W. Tanner
4,2361320
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-explanation
edited 6 mins ago
J. W. Tanner
4,2361320
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
1 hour ago
add a comment |
$begingroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-explanation
edited 6 mins ago
J. W. Tanner
4,2361320
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Ok I am in grade 9 and I am maybe too young for this.
But I thought about this, why dividing by 0 is impossible.
Dividing by 0 is possible would mean 1/0 is possible, which would mean 0 has a multiplaction inverse.
So if we multiplicate a number by 0 then by 1/0 we get the same number.
But thats impossible because all numbers multiplicated by 0 gives 0 therfore we cant have an inverse for 0 that gives us the initial number and thus division by 0 is impossible
Is this right?
proof-explanation
proof-explanation
edited 6 mins ago
J. W. Tanner
4,2361320
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 6 mins ago
J. W. Tanner
4,2361320
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 6 mins ago
J. W. Tanner
4,2361320
edited 6 mins ago
J. W. Tanner
4,2361320
edited 6 mins ago
J. W. Tanner
4,2361320
4,2361320
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
asked 1 hour ago
Selim Jean ElliehSelim Jean Ellieh
213
213
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Selim Jean Ellieh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
1 hour ago
add a comment |
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
1 hour ago
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 1 hour ago
ArthurArthur
121k7121207
$endgroup$
add a comment |
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 1 hour ago
ShaunShaun
9,883113684
$endgroup$
1
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
1 hour ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Ye I'm understanding but i did not understand anything from thos wheel theory
$endgroup$
– Selim Jean Ellieh
54 mins ago
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
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active
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active
oldest
votes
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 1 hour ago
ArthurArthur
121k7121207
$endgroup$
add a comment |
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 1 hour ago
ArthurArthur
121k7121207
$endgroup$
add a comment |
$begingroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 1 hour ago
ArthurArthur
121k7121207
$endgroup$
That's the most basic reason that division by $0$ is usually considered to be a Bad Thing, yes. Because if we did allow dividing by $0$, we would have to give up at least of one of the following things (these are usually considered Very Nice):
- What $1$ means ($1cdot a = a$ for any $a$)
- What $0$ means ($0 cdot a = 0$ for any $a$)
- What division means ($frac ab = c$ means $a = ccdot b$)
answered 1 hour ago
ArthurArthur
121k7121207
answered 1 hour ago
ArthurArthur
121k7121207
answered 1 hour ago
ArthurArthur
121k7121207
answered 1 hour ago
ArthurArthur
121k7121207
121k7121207
add a comment |
add a comment |
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 1 hour ago
ShaunShaun
9,883113684
$endgroup$
1
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
1 hour ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Ye I'm understanding but i did not understand anything from thos wheel theory
$endgroup$
– Selim Jean Ellieh
54 mins ago
add a comment |
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 1 hour ago
ShaunShaun
9,883113684
$endgroup$
1
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
1 hour ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Ye I'm understanding but i did not understand anything from thos wheel theory
$endgroup$
– Selim Jean Ellieh
54 mins ago
add a comment |
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 1 hour ago
ShaunShaun
9,883113684
$endgroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 1 hour ago
ShaunShaun
9,883113684
edited 1 hour ago
answered 1 hour ago
ShaunShaun
9,883113684
answered 1 hour ago
ShaunShaun
9,883113684
answered 1 hour ago
ShaunShaun
9,883113684
9,883113684
1
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
1 hour ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Ye I'm understanding but i did not understand anything from thos wheel theory
$endgroup$
– Selim Jean Ellieh
54 mins ago
add a comment |
1
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
1 hour ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
1 hour ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Ye I'm understanding but i did not understand anything from thos wheel theory
$endgroup$
– Selim Jean Ellieh
54 mins ago
1
1
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
1 hour ago
$begingroup$
You think this is very relevant for a ninth grader? I mean, it might be cool to know it's out there, but does this really answer the question that is asked?
$endgroup$
– Arthur
1 hour ago
1
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
1 hour ago
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
1 hour ago
1
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
1 hour ago
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
1 hour ago
1
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
1 hour ago
$begingroup$
Ye I'm understanding but i did not understand anything from thos wheel theory
$endgroup$
– Selim Jean Ellieh
54 mins ago
$begingroup$
Ye I'm understanding but i did not understand anything from thos wheel theory
$endgroup$
– Selim Jean Ellieh
54 mins ago
add a comment |
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
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$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
1 hour ago