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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 integer is NOT a natural number. ( look at -3)The set of integers contains the set of natural numbers and contains the set of whole numbers.The set of whole numbers contains the set of natural numbers.
Is the number 56 a rational number whole number natural number or irrational number?
56 is a rational whole natural number. Or to put it another way: 56 is a Natural number, but as all natural numbers are also whole numbers 56 is also a whole number, but as all whole numbers are also rational numbers 56 is also a rational number. Natural numbers are a [proper] subset of whole numbers; Whole numbers are a [proper] subset of rational numbers. The set of rational numbers along with the set of irrational numbers make up the set of real 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 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.
What is the greatest number that belongs to the set of integers and rational numbers but not to set of natural numbers and whole numbers?
There is no such number. All of these sets go on forever.
