are rational numbers natural numbers


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Rational and Irrational Numbers
Introduction - The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Num..
Natural Numbers
The countable numbers are called Natural Numbers. Therefore 1 is the smallest or least of all natural numbers. The highest natural number cannot be said because Natural numbers are infinite. The se..
Whole numbers
The set of whole numbers is the set of natural numbers along with zero. so W = the set of whole numbers = 0,1,2,3,............ so Zero is the least number of the set of Whole numbers. As the whole numbers is an infinite set..
Binomial Theorem for Fractional Index
For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given ea..
Rational Numbers
Rational Numbers - We have defined rational numbers as those which can be expressed as fractions: We now define decimal fractions. The rational numbers can be expressed as terminating or recurring decimals. Decimal fraction has denominator..
Rational Numbers
The rational numbers can be expressed as terminating or recurring decimals. Decimal fraction has denominator as 10 or a power of 10. A recurring decimal is denoted by placing dots or a bar over recurring digit..
Rational and Irrational Numbers Summary
Summary - A rational number is a number of the form where p and q are integers and . Problems involving rational numbers are simplified using 'BODMAS' rule. A rational number can be represented in the decimal form. When a ra..
Real Numbers
The union of the set of rational numbers and irrational numbers forms the set of real numbers. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line, there exi..
Real Numbers
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real numbers..
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