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1. No.

The Natural numbers are the positive integers (sometimes the non-negative integers).

Rational numbers are numbers that can be expressed as the quotient of two integers (positive or negative). All Natural numbers are in the set of Rational numbers. 2. No. Natural numbers are usually defined as integers greater than zero. A Rational number is then defined simply as a number that can be expressed as an integer divided by a natural number. (This definition includes all rational numbers, but excludes division by zero.)

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โˆ™ 2009-08-22 20:11:27
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Q: Are All rationals numbers are in the set of natural numbers?
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Related questions

What is the set of all numbers containing zero as well as all postitive and negative numbers?

The answer depends on what do you mean by "all". It could be the set of all integers, the set of all rationals or the set of all reals.


Are there more rational number than irrational numbers?

There are more irrational numbers than rational numbers. The rationals are countably infinite; the irrationals are uncountably infinite. Uncountably infinite means that the set of irrational numbers has a cardinality known as the "cardinality of the continuum," which is strictly greater than the cardinality of the set of natural numbers which is countably infinite. The set of rational numbers has the same cardinality as the set of natural numbers, so there are more irrationals than rationals.


The number -4 is what set of numbers?

The number -4 belongs to the set of all integers. It also belongs to the rationals, reals, complex numbers.


What numbers are in the set of natural numbers and which are in the set of whole numbers?

All of the natural numbers.


What is a set of rational numbers that begin at 0?

It could be the set denoted by Q- (the non-positive rationals) or Q+ (the non-negative rationals).


Are natural numbers the same of rational numbers?

The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.


What set of numbers does -23 belong to?

Integers, rationals, reals, complex numbers, etc.


Why is every rational number a real number?

There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.


What represents fractions?

Q represents the set of all rational numbers, Zrepresents the set of all integers so Q excluding Z, represents all rationals that are not integers.


All rational numbers in the set of natural numbers?

No.


How does the set of natural numbers differ from the set of whole numbers?

0 and negative integers are all whole numbers but they are not natural numbers.


What is a set of numbers conttaining all natural numbers and natural negative numbers including zero?

The set of integers, Z.

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