It is not possible to write the largest natural number since it goes up to infinity. If the decimal form of the number is terminating or recurring as in the case of 5.6 or 2. Now since we’ve covered the basic prerequisites to number systems, the smallest natural number is 1. All integers, whole numbers, natural numbers, and fractions with integers are rational numbers. The natural number 3 when multiplied by its additive inverse (-3) gives the product of (-9) which is also an integer. The property of integers states that the sum, multiplication and subtraction of an integer will always give an integer. Integers are numbers which contain natural numbers, the additive inverses of natural numbers and also include zero. Therefore it can be said that integers are rational, irrational, natural and whole numbers are subsets of real numbers. All those numbers whether rational, irrational, negative, positive, integral, natural or whole come under the category of real numbers. 5/9 is a rational number because 5 and 9 are whole. Rational numbers are numbers that can be expressed as a fraction where the top and bottom are integers. 5/9 is not whole and it is certainly not negative so we dont need to even consider if is the opposite of a whole number. Real numbers comprise all the numbers which can be put on a number line. Integers are whole numbers plus the opposite of the whole numbers. Solution: 1 is the smallest natural number. Notice that every integer m is a rational number since mm /1. It is an integer since it is both a natural and a whole number. Therefore, all natural numbers are whole numbers but not all whole numbers are natural numbers. It is a whole number because the set of whole numbers includes the natural numbers plus zero. Whole numbers have an addition of the number zero ‘0’ to the list of natural numbers.
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