# Which is not a number set that contains the number 0?

The set {1, pi, -3.9} is one such set.

### What is Peano's postulates?

There are five of them, also known as Peano's axioms: 0 is a number. If n is a number then n's successor is a number. 0 is not the successor of a number. If two numbers have successors that are equal then the numbers themselves are equal. If S is a set that contains 0 and also the successor of every number that is in S then every number is in S.

### What is the relationship between whole numbers integers natural numbers and rational numbers?

Whole numbers are usually defined as the number 0,1,2,3,4,5,6.... where "...." means it goes on forever. These are the natural numbers with the number 0 added to them. So the natural numbers are 1,2,3,4,5,6... The integers are all the whole number and all the negatives of the natural numbers. ...-4,-3,-2,-1,0,1,2,3,4... So every whole number is an integer. Every natural number is an integer. Every integer is NOT a whole number. ( look at -2) Every…

### What is the cardinal number of a set?

The cardinal number of a set is the number of elements in the set. Example: the cardinal number of the set {6, prune, 675, biscuit, London} is 5, since the set contains five elements. If a set contains repeated elements, they should only be counted once. Example: the cardinal number of the set {6, 7, 3, 4, 4, 7} is 4 (not 6) since the fours and sevens are only counted once.

### Is the number 0 a natural number?

It depends on what you consider a natural number. If you consider it to be the set of all integers starting from 1 and going upward, then no, 0 is not a natural number. However, if you consider a natural number to be the set of all non-negative integers, then 0 is included in the set of natural numbers.

### What set does 0 belong to?

The mathematically correct answer is: any set that contains it. For example, it belongs to the set of all numbers between -3 and +2, the set {0, -3, 8/13, sqrt(97), pi}, the set {0}, the set of the roots of x3 - x2 + x = 0, the set of all integers, the set of all rational numbers, the set of all real numbers, the set of all complex numbers.

### What set of numbers does 5 belong in?

5 belongs in the sets: -Natural number set, positive whole numbers -Integer number set, whole numbers -Rational number set, numbers that are not never ending -Real number set, basic numbers without i and that can be expressed in say amounts of apples -Complex number set, the set that contains both real and unreal numbers

### Which set of numbers does 9 belong to?

9 belongs in the sets: -Natural number set, positive whole numbers -Integer number set, whole numbers -Rational number set, numbers that are not never ending -Real number set, basic numbers without i and that can be expressed in say amounts of apples -Complex number set, the set that contains both real and unreal numbers

### Is every whole number a natural number?

No, zero is a whole number, but not a natural number. The natural numbers are the set {0, 1, 2, 3, ...} (or the set {1, 2, 3, ...}) The whole numbers are the set {..., -3, -2, -1, 0, 1, 2, 3, ...} The set of whole numbers has twice as many members as the set of natural numbers, so the answer to your question is NO.

### What are the five axioms in real numbers?

The five axioms, or postulates proposed by Peano are for the set of natural numbers: not real numbers. They are: Zero is a natural number. Every natural number has a successor in the natural numbers. Zero is not the successor of any natural number. If the successor of two natural numbers is the same, then the two original numbers are the same. If a set contains zero and the successor of every number is in…