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No, it is the empty set. Then the set containing only the number 0 (Peano's first axiom).

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Q: Is the smallest set on the real number system the set of Natural Numbers?
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What is the smallest number in number system?

Numbers never end, therefore there is no smallest number only smaller than the last.But it depends on the number system that you are defining, and what you mean by smallest - is is smallest magnitude, or a number which everything else is greater than it. For example, if you are dealing with natural numbers [counting numbers: 1,2,3...], then there is a smallest number, which is 1. If you're dealing with integers, and you mean smallest magnitude, then zero would be your number, but all of the negative integers are less than zero. What if your system is 8-bit signed binary numbers (so the range is -128 to +127). So you need to be specific about what you are looking for.


What are the parts of real number system?

Natural Number, Integers, Rational Numbers, Irrational Numbers


What are the subset of the real number system?

Irrational Numbers, Rational Numbers, Integers, Whole numbers, Natural numbers


What is the smallest natural satellite in solar system?

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Why the natural numbers are called so?

They are the numbers that are used for counting objects. They form the basis of the number system. Even so, why "natural", and not primary (like in colours) I don't know.


What are the Uses of natural numbers?

They are used for counting things. Also, they form the basis for the rest of the number system: the integers, rational numbers, irrational numbers, complex numbers, quaternioins.


Why The set of whole numbers include zero but the natural numbers do not?

The Dedekind-Peano axioms form the basis for the axiomatic system of numbers. According to the first axiom, zero is a natural number. That suggests that the question refers to some alternative, non-standard definition of natural numbers.


What is -0.567 on the number system?

In the number system , there are decimal numbers, fractions,rational numbers , irrational numbers , negative and positive numbers.-0.567 on the number system is negative number.


Are natural numbers are decimal numbers?

Almost all numbers that we use in daily life are decimal numbers. The place value of each digit is ten times the place value of the digit to its right. And that is all that is required of decimal numbers. A decimal point is not necessary.


Which is biggest and the smallest number in the number system?

There is no smallest number and no biggest number. Given any big number, however big, it is always possible to find one that is bigger (and the same with the smallest).


What prompted the need to extend the system of natural numbers to the system of integers?

Natural numbers are separate from integers. I can't believe this was asked 9 years ago . . .


What is the largest and smallest number in octal number system?

7 and 0