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The first need arose when it was found that the set of whole numbers was not closed under division. That is, given whole numbers A and B (B non-zero), that, in general, A/B was not a whole number - but a fraction.

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Q: Why do whole numbers need an extension?
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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.


Why do whole number require an extension?

The set of whole numbers is not closed under division (by non-zero whole numbers).


What is the same about a fraction and a decimal?

They are representations of numbers which need not be whole numbers.


Why do you need to learn whole numbers?

To get my GED


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).


What is the LCM of one half?

You need at least two numbers to find an LCM. And they need to be whole numbers, not fractions.


How is multiplying a decimal by a whole number the same as multiplying 2 whole numbers?

It is not. When multiplying two whole numbers you need not be concerned about placing the decimal point in the answer.


What 2 numbers do you need to write a percent?

A part and a whole.


Why do you need a extenstion of rational numbers?

You need an extension because rational numbers are a tiny subset of all real numbers. There are transcendental numbers such as pi and e which are key to geometry and calculus (respectively), the Golden ratio, as well as all the non-rational roots of rational numbers.


Why do you need to know about integers?

What you need to know about integers is that integers is the name for the group of numbers that include whole numbers and negative numbers. But integers DO NOT include fractions.


What is the LCM of 2.5?

You need at least two numbers to find an LCM. And they need to be whole numbers, not decimals.