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because all numbers like Irrational Numbers could not be included in the set of integers

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Q: Why do integers require an extension?
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Why does integer require an extension?

Extensions are used in integers to denote that they are infinite in number.


Why integers need extension?

In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).


Why integers need an extension?

In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).


How do you make a factor tree for 10.91?

Factors, and by extension factor trees, refer to integers, not decimals.


Why whole numbers require an extension?

as whole numbers does not contain negative numbers, so for denoting ( eg: deapth of the sea,etc )negative things they require an extension.


Does OSHA require a spotter for extension ladders?

Depending on the height.


Does osha require spotters for extension ladders?

Depending on the height.


Where can people find the construction information that may require to complete an extension to their house?

A person can find construction information that may be required to complete an extension to a house at Citizens Information. Information for an extension to a house can also be found at House Extension Online.


Why do natural number requires an extension?

Because the set is not closed under subtraction. This led to the set being extended to included negative integers.


Why rational numbers require extension?

Because numbers such as pi, e and the square root of 2 are not rational.


File an Extension for State Taxes Too?

If you require an extension on the filing of your taxes, do not forget to file an extension for state taxes too. Of course, if you live in a state like Florida that does not have a personal income tax, then you will not need to worry about filing taxes at all. In a majority of other states filing an extension is essential. You may incur certain fees or expenses if you fail to file an extension for your state taxes. Be sure to research the requirements for your state on receiving an extension for the filing of state taxes.


How and why are real numbers more difficult to represent and process than integers?

There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.There are more real numbers than integers. The set of integers is countably infinite, of magnitude aleph-zero. The set of real numbers is uncountably infinite (specifically, aleph-one).A computer can't really represent real numbers (that would require an infinite amount of memory), rather, it uses an approximation.