Another proof that dividing by 0 does not exist — is it right? The Next CEO of Stack OverflowProof that $Bbb Z$ has no other subring than itselfHelp understanding this proof - sqrt(2) is irrationalProof for uniqueness for ideal multiplicationMy proof that an n digit number, times an n digit number can be expressed as a 2n digit numbershowing that no repunit is a square - proof verificationUsing induction, prove that $(3^2^n -1)$ is divisible by $2^n+2$ but not by $2^n+3$.Proof that $sqrt2$ is irrationalProof that no group of order $525$ is simpleIs my proof that this limit does not exist correct?Proof of infinitude of the number of primes of the form $4k+1$
Is there a rule of thumb for determining the amount one should accept for of a settlement offer?
Masking layers by a vector polygon layer in QGIS
It it possible to avoid kiwi.com's automatic online check-in and instead do it manually by yourself?
How to unfasten electrical subpanel attached with ramset
Why does freezing point matter when picking cooler ice packs?
Is it a bad idea to plug the other end of ESD strap to wall ground?
How can a day be of 24 hours?
Calculate the Mean mean of two numbers
How does a dynamic QR code work?
What does this strange code stamp on my passport mean?
Is it possible to create a QR code using text?
How can I prove that a state of equilibrium is unstable?
Prodigo = pro + ago?
Read/write a pipe-delimited file line by line with some simple text manipulation
Why did Batya get tzaraat?
Raspberry pi 3 B with Ubuntu 18.04 server arm64: what pi version
What is the difference between 'contrib' and 'non-free' packages repositories?
How to show a landlord what we have in savings?
How can the PCs determine if an item is a phylactery?
What day is it again?
Horror film about a man brought out of cryogenic suspension without a soul, around 1990
My boss doesn't want me to have a side project
How do I secure a TV wall mount?
Could a dragon use its wings to swim?
Another proof that dividing by 0 does not exist — is it right?
The Next CEO of Stack OverflowProof that $Bbb Z$ has no other subring than itselfHelp understanding this proof - sqrt(2) is irrationalProof for uniqueness for ideal multiplicationMy proof that an n digit number, times an n digit number can be expressed as a 2n digit numbershowing that no repunit is a square - proof verificationUsing induction, prove that $(3^2^n -1)$ is divisible by $2^n+2$ but not by $2^n+3$.Proof that $sqrt2$ is irrationalProof that no group of order $525$ is simpleIs my proof that this limit does not exist correct?Proof of infinitude of the number of primes of the form $4k+1$
$begingroup$
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-verification
edited 1 hour ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
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-verification
edited 1 hour ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
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
3 hours ago
$begingroup$
Your answer is 100% correct and you should probably become a mathematician. These kinds of answers (mathematicians also call them proofs) are what mathematicians do all day long.
$endgroup$
– ErotemeObelus
1 min 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-verification
edited 1 hour ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
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-verification
proof-verification
edited 1 hour ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
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 1 hour ago
Shaun
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
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 1 hour ago
Shaun
9,903113684
edited 1 hour ago
Shaun
9,903113684
edited 1 hour ago
Shaun
9,903113684
9,903113684
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
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 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
asked 3 hours ago
Selim Jean ElliehSelim Jean Ellieh
614
614
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
3 hours ago
$begingroup$
Your answer is 100% correct and you should probably become a mathematician. These kinds of answers (mathematicians also call them proofs) are what mathematicians do all day long.
$endgroup$
– ErotemeObelus
1 min ago
add a comment |
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
$begingroup$
Your answer is 100% correct and you should probably become a mathematician. These kinds of answers (mathematicians also call them proofs) are what mathematicians do all day long.
$endgroup$
– ErotemeObelus
1 min ago
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
$begingroup$
Your answer is 100% correct and you should probably become a mathematician. These kinds of answers (mathematicians also call them proofs) are what mathematicians do all day long.
$endgroup$
– ErotemeObelus
1 min ago
$begingroup$
Your answer is 100% correct and you should probably become a mathematician. These kinds of answers (mathematicians also call them proofs) are what mathematicians do all day long.
$endgroup$
– ErotemeObelus
1 min 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 3 hours ago
ArthurArthur
121k7121208
$endgroup$
add a comment |
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 3 hours ago
ShaunShaun
9,903113684
$endgroup$
7
$begingroup$
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
3 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
3 hours ago
2
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
1 hour ago
|
show 1 more comment
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Selim Jean Ellieh is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3171071%2fanother-proof-that-dividing-by-0-does-not-exist-is-it-right%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
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 3 hours ago
ArthurArthur
121k7121208
$endgroup$
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 3 hours ago
ArthurArthur
121k7121208
$endgroup$
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 3 hours ago
ArthurArthur
121k7121208
$endgroup$
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 3 hours ago
ArthurArthur
121k7121208
answered 3 hours ago
ArthurArthur
121k7121208
answered 3 hours ago
ArthurArthur
121k7121208
answered 3 hours ago
ArthurArthur
121k7121208
121k7121208
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 3 hours ago
ShaunShaun
9,903113684
$endgroup$
7
$begingroup$
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
3 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
3 hours ago
2
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
1 hour ago
|
show 1 more comment
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 3 hours ago
ShaunShaun
9,903113684
$endgroup$
7
$begingroup$
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
3 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
3 hours ago
2
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
1 hour ago
|
show 1 more comment
$begingroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 3 hours ago
ShaunShaun
9,903113684
$endgroup$
Yes . . . and no.
You might be interested in, for example, Wheel Theory, where division by zero is defined.
answered 3 hours ago
ShaunShaun
9,903113684
edited 3 hours ago
answered 3 hours ago
ShaunShaun
9,903113684
answered 3 hours ago
ShaunShaun
9,903113684
answered 3 hours ago
ShaunShaun
9,903113684
9,903113684
7
$begingroup$
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
3 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
3 hours ago
2
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
1 hour ago
|
show 1 more comment
7
$begingroup$
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
3 hours ago
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
3 hours ago
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
3 hours ago
2
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
1 hour ago
7
7
$begingroup$
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
3 hours 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
3 hours ago
1
1
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
3 hours ago
$begingroup$
That's a fair comment, @Arthur. Thank you for the feedback.
$endgroup$
– Shaun
3 hours ago
1
1
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
3 hours ago
$begingroup$
What d'you think, @SelimJeanEllieh?
$endgroup$
– Shaun
3 hours ago
1
1
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
3 hours ago
$begingroup$
Oh: The OP has insufficient rep to comment. Nevermind.
$endgroup$
– Shaun
3 hours ago
2
2
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
1 hour ago
$begingroup$
@Arthur I think this is extremely relevant. It shows that division by zero isn't some sort of sacred thing that we must not touch, it's just contradictory to the three Very Nice things in your post, and there are systems of "multiplication" and "division" out there where we are allowed to divide by zero. +1 for this answer.
$endgroup$
– YiFan
1 hour ago
|
show 1 more 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.
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3171071%2fanother-proof-that-dividing-by-0-does-not-exist-is-it-right%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
Sometimes division by zero is defined, such as in the extended complex plane.
$endgroup$
– Shaun
3 hours ago
$begingroup$
Your answer is 100% correct and you should probably become a mathematician. These kinds of answers (mathematicians also call them proofs) are what mathematicians do all day long.
$endgroup$
– ErotemeObelus
1 min ago