No, they are not equivalent sets.
the answer is -1
there are 5 diffeerent sets Natural Numbers whole numbers integers rational numbers irrational numbers.
The set of natural numbers is a subset of the set of whole numbers. The set of whole numbers is a subset of the set of integers. So the set of integers is the largest of these three sets.
Number sets are collections of numbers that share specific properties or characteristics. Common examples include natural numbers (positive integers), whole numbers (natural numbers including zero), integers (whole numbers and their negatives), rational numbers (fractions of integers), and irrational numbers (numbers that cannot be expressed as fractions, such as √2 or π). These sets help organize numbers and facilitate mathematical operations and concepts.
The set of integers is a set that includes all the positive whole numbers, all the negative whole numbers and zero. If you think in terms of sets within that set (or sub-sets) there are an infinity. Of course the obvious subset is the set of natural numbers. Natural numbers are the positive integers used for counting eg 1, 2, 3, etc.
they are almost all equivalent - whole numbers also have the number 0, which natural numbers (counting numbers) do not.
The set of counting numbers is the positive integers. The set of whole numbers is the positive integers plus zero. The term "natural numbers" has been used interchangeably with both of those sets.
Whole numbers and integers are identical sets. Both are proper subsets of rational numbers.If Z is the set of all integers, and Z+ the set of all positive integers then Q, the set of all rational numbers, is equivalent to the Cartesian product of Z and Z+.
Classifying number sets involves categorizing numbers into distinct groups based on shared properties. The primary sets include natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Each category has specific characteristics: for example, natural numbers are positive integers starting from 1, while rational numbers can be expressed as a fraction of two integers. Understanding these classifications helps in identifying how different types of numbers relate to one another and their applications in mathematics.
There is no such number. All of these sets go on forever.
the greatest number that is an integer and rational number but is not a natural or whole number is -1
Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.