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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.
The set of numbers that include the natural numbers their opposites and 0?
The set of numbers that include the natural numbers, their opposites and 0 is called the set of integers.
Does the set of whole numbers is larger than the set of natural numbers?
If you mean larger by "the set of whole numbers strictly contains the set of natural numbers", then yes, but if you mean "the set of whole numbers has a larger cardinality (size) than the set of natural numbers", then no, they have the same size.
What is a set of numbers including zero and all the counting numbers?
Whole numbers are the set of natural or counting numbers inclding zero
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
