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While giving answers please mention the challange no. Challange #1: What do you mean by a Natural Number?
22 Feb 2014 20:10
No, decimals are not natural numbers, but natural numbers are decimals. Natural numbers is a proper subset of decimal numbers. Again, the numbers with which we count are not only natural numbers. We can count with the help of rational numbers also. Actually there is no definition of natural numbers. If you have to define something, you define it with the concepts that came before it. But there was nothing before natural numbers. So, you can't define it. So, we don't try to define it, rather we constructe a set of numbers, which follows "Peano's Axiom" (observe, it is axiom, not theorem, if natural numbers can be defined, it should be a theorem), and call this set of numbers natural numbers.
You should not use the word decimal here.... Its not about numbers, its about 'how to represet numbers'... they dont denote any special type of numbers. Decimals are special system of representing numbers....