Mathematics Real Numbers PPT.pptx

Mathematics Real Numbers PPT.pptx

• 1.
  MATHEMATICSPROJECT Group Members:  AaryanLal Das (Ppt Creator)  Aryan Rai (Ppt Helper)  Aakriti Lama (Information Provider)  Pooja Gupta (Information Provider)  Chaitanya Bajla (Idea Provider)  Tanvi Chand (Designer)
• 2.
  What are Realnumbers Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”. All the natural numbers, decimals and fractions come under this category.
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  Rational Numbers Rational number,in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.
• 5.
  Integers An integer isa whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: - 1.43, 1 3/4, 3.14, .09, and 5,643.1.
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  Natural Numbers Natural numbersare a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purpose. It does not include zero (0). In fact, 1,2,3,4,5,6,7,8,9…., are also called counting numbers.Natural numbers are denoted by “N”.
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  Whole Numbers The wholenumbers are the numbers without fractions and it is a collection of positive integers and zero. It is represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}. Zero as a whole represents nothing or a null value. Whole Numbers: W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10……}
• 8.
  Irrational Numbers Irrational number,any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
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  Addition Rule When thesigns on the two terms are same then we should add and keep the sign in front of the large number. Eg: (-4) + (-7) = 11 (-4) + (-7)= -11