CBSE Grade 7 Maths Chapter 9 - Rational Numbers - Subtraction of Rational numbers and its Properties

Operations on Rational Numbers - Subtraction


Additive Inverse

We observe
a + (-a) = 0, where a is a whole number
b +(-b)  = 0, where b is an integer
(a/b) + (-a/b) = 0, where a/b is a rational number

So we say that (-a/b) is the additive inverse of a/b  and a/b is the additive inverse for (-a/b)

If we have to subtract two rational numbers then we have to add the additive inverse of the rational number that is being subtracted to the other rational number

a - b = a + (-b)

Perform Subtraction on Rational Numbers with same denominators

In this method

  • we will simply subtract the numerator
  • the denominator remains the same.

Example


Perform Subtraction on Rational Numbers with different denominators

In this method

  •  We will first make the denominators same ( By Cross Multiplication method or LCM Method- explained in the video)
  • we will add the additive inverse of the second number to the first number.
Example