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Q: Are irrational numbers proof of infinitesimals since they are not ratios of 2 finite natural numbers?
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Is 0812812812812 an irrational number?

No, because it has a finite value. Irrational numbers have no finite value. Eg, Pi and the square root of 2.


Family tree of real numbers?

Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.Combine these with the non-rational roots of finite polynomial equations and you have the set of irrational numbers.Combine the rational and irrational numbers and you have the set of Real numbers, R.


What finite math?

Finite means to end. So finite math is possible math that has to do with numbers ending; no irrational(unending) numbers. Ex: 2+2=4


What is finite math?

Finite means to end. So finite math is possible math that has to do with numbers ending; no irrational(unending) numbers. Ex: 2+2=4


What classified as a real number?

Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.Combine these with the non-rational roots of finite polynomial equations and you have the set of irrational numbers.Any rational or irrational number is classified as an element of the set of Real numbers, R.


Is the set of natural numbers less than -2 finite or infinite?

The empty set is a finite set.


Is 0.5 multiplied by 1 divided by 3 irrational?

You can't get an irrational number by applying a finite number of additions, subtractions, multiplications and divisions to a set of rational numbers.


Is the sum of two or more rational numbers is it rational or irrational?

The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.


Is negative 4.9 a rational or irrational?

-4.9 is a rational number. If a number is irrational, then it can not be expressed as a finite number of digits. A few examples of irrational numbers are: pi, the square root of any integer which is not square and the golden ratio (phi).


Is the set of natural numbers less than 1 finite or infinite?

infinte


What is a finite number?

All real numbers are finite. Infinity is not a number.All real numbers are finite. Infinity is not a number.All real numbers are finite. Infinity is not a number.All real numbers are finite. Infinity is not a number.


What are the finite sets -all whole numbers -all natural numbers less than 100000 -all letters of the alphabet -all odd numbers?

The whole number form an infinite set.The natural numbers less than 100000 form a finite set(either 99999 or 100000 members, depending on whether 0 is considered a natural number).The letter of the alphabet form a finite set (26 members for the English alphabet).The odd numbers form an infinite set.