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The simplest subset have the simplest properties. The range of properties increases as the compexity of the subset increases.
Take the property "closure". For a binary operation denoted by #, a set is said to be closed if for any elements x and y from the set, x#y is also a member of the set.
Then, counting numbers are closed under addition or multiplication but not subtraction. You need the whole set of integers for that. But that is not closed under division. So you extend the subset to all rationals. So far so good.
Now you have closure under the 4 basic operations, including squaring. But what about the reverse operation? Taking square roots? No. So add in the irrationals which gives you the set of real numbers.
But the reals are not closed under square roots of negative numbers. So extend to the set of complex numbers. Hope you get the drift.
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What system of your own number system 0-9 based on?
9
What is our number system based on?
Our number system is based on the number ten, and as a result, it is called the decimal system.
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The Mayan number system is vigesimal (based on twenties)The Roman number system is decimal (based on tens)
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The real number system is a number system using the rational and irrational numbers.
What is the Hindu-Arabic number system?
It is the number system we use everyday.
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Aryabhatta's contribution to the number system ANSWER?
{| |- | Aryabhatta's contribution to the number system |} {| |- | Aryabhatta's contribution to the number system |}
What is our number system based on?
Our number system is based on the number ten, and as a result, it is called the decimal system.
What number system is our own number system based on?
Our number system of 0 to 9 is derived from the Hindu-Arabic numeral system.
What system of your own number system 0-9 based on?
9
