Sign Up to our MetaHub questions and Answers Engine to ask questions, answer members' questions, and connect with other teachers & members.

Login to our META-HUB questions & Answers Forum

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

## Test question

this is a test answer.

this is a test answer.

See less## Irrationality of the constant e of exponential function.

What you should be teaching your students is not that "the sum of rational numbers is rational", but, "the sum of two rational numbers is rational" which you can extend, using the principle of mathematical induction, to "the sum of a *finite* number of rational numbers is rational". It should be cleRead more

What you should be teaching your students is not that “the sum of rational numbers is rational”, but, “the sum of

tworational numbers is rational” which you can extend, using the principle of mathematical induction, to “the sum of a *finite* number of rational numbers is rational”.It should be clear that this claim

cannotbe extended to *infinite* sums blindly. In fact, by definition, an infinite sum is actually the limit of a finite sum (partial sums).“e” is a counterexample for this.

The infinite sum of rational numbers need not necessarily be a rational number.~MetaHub Panel for Teachers’ Forum

See less## Searching for Easy Tip

There is a webinar on the number Pi tomorrow (14th) at 6 pm where these topics will be touched. We invite you to join that. The link is on the home page on MetaHub. https://learn.zoom.us/j/63881167775?pwd=YU5WeFFLcFJOM3M0NDhNUFB3Wk54QT09 We'll wait to see what other teachers have to say on this (whaRead more

There is a webinar on the number Pi tomorrow (14th) at 6 pm where these topics will be touched. We invite you to join that. The link is on the home page on MetaHub.

https://learn.zoom.us/j/63881167775?pwd=YU5WeFFLcFJOM3M0NDhNUFB3Wk54QT09

We’ll wait to see what other teachers have to say on this (what techniques they use) and our reply will be posted in a few days time.

See less## Functions

Codomain Y is a set stated by the definition of a function such that all outputs of the function need to be within it , in other words it is a set of all possible outputs. Range R is the set of all outputs of a function and which can be determined by the relation and domain of the function. ThereforRead more

Codomain Y is a set stated by the definition of a function such that all outputs of the function need to be within it , in other words it is a set of all possible outputs. Range R is the set of all outputs of a function and which can be determined by the relation and domain of the function. Therefore by definition R should be a subset of Y. If R = Y function maps it’s domain onto codomain , if R ⊂ Y function maps it’s domain into codomain.

To get a better insight of the issue we can consider probability function because it has practical importance and we can clearly see the difference of the two sets . Here the domain is Event space and codomain is the set [0,1] but range is only particular values within the set [0,1]. In the case of tossing a coin once range is the set {0,1/2 , 1} .

See less## Real number system

Here you have the related informations, your suggestions are greatly appreciated.

Here you have the related informations, your suggestions are greatly appreciated.

See less## Illustrating powers of sums by geometrical means

Here you have related informations, your suggestions are greatly appreciated.

Here you have related informations, your suggestions are greatly appreciated.

See less## Divisors and factors

Here you have the related informations, your suggestions are greatly appreciated.

Here you have the related informations, your suggestions are greatly appreciated.

See less## Times table

Here you have related informations , your suggestions are greatly appreciated.

Here you have related informations , your suggestions are greatly appreciated.

See less## Paradoxes

Here you have the related informations, open for your suggestions.

Here you have the related informations, open for your suggestions.

See less## Conjectures

Here you have related informations, open for your suggestions.

Here you have related informations, open for your suggestions.

See less