Rational Numbers Class 7 Notes Maths | StudyTution

  • A number that can be expressed in the form p / q , where p and q are integers and q ≠ 0, is called a rational number.
  • All integers and fractions are rational numbers.
  • If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.
  • Rational numbers are classified as positive, zero or negative rational numbers.
  • When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number.
  • When either the numerator or the denominator is a negative integer, it is a negative rational number.
  •  The number 0 is neither a positive nor a negative rational number.
  • There are unlimited number of rational numbers between two rational numbers.
  • A rational number is said to be in the standard form, if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.
  • Two rational numbers with the same denominator can be added by adding their numerators, keeping with the same denominator.
  • Two rational numbers with different denominators are added by first taking the LCM of the two denominators and then converting both the rational numbers to their equivalent forms having the LCM as the denominator and adding them as above.
  • While subtracting two rational numbers, we add the additive inverse of the rational number to be subtracted to the other rational number.
  • Product of rational numbers = Product of numerators / Product of denominators
  • The reciprocal of a non-zero rational number p / q  is q / p .
  • To divide one rational number by the other non-zero rational number, we multiply the first rational number by the reciprocal of the other.
Facebook Comments Box


Comments are closed.