RBSE Class 7 Maths Notes Chapter 9 Rational Numbers

These comprehensive RBSE Class 7 Maths Notes Chapter 9 Rational Numbers will give a brief overview of all the concepts.

RBSE Class 7 Maths Chapter 9 Notes Rational Numbers

→ A number that can be expressed in the form \(\frac{p}{q}\), where p and q are integers and q ≠ 0, is called a rational number. For examples : \(\frac{-2}{7}, \frac{3}{8}\), 3 etc.

→ All natural numbers, 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 or negative rational numbers. When the numerator and denominator, both, are positive integers or negative integers then the rational number is positive.

→ When either the numerator or the denominator is a negative integer, it is a negative rational number. For example, \(\frac{3}{8}\) is a positive rational number whereas \(\frac{-8}{9}\) is a negative rational number.

→ The number 0 is neither a positive nor a negative rational number.

→ A rational number is said to be in the standard form if its numerator is a positive integer and the numerator and denominator have no common factor other than 1.

→ There are unlimited number of rational numbers between two rational numbers.

→ Two rational numbers with the same denominator can be added by adding their numerators, keeping the denominator same.

→ Two rational numbers with different denominators are added by first taking the LCM of the two denominators and then converting both rational numbers to their equivalent forms having the LCM as the denominator.

→ While subtracting two rational numbers, we add the additive inverse of the rational number to be subtract to the other rational number.

→ To multiply two rational numbers, we multiply their numerators and denominators separately, and write the product as \(\frac{\text { Product of numerators }}{\text { Product of denominators }}\)

→ To divide one rational number by the other non-zero rational number, we multiply the rational number by the reciprocal of the other.