GSEB Solutions Class 8 Maths chapter-1 | Gujarat Board

In mathematics we solve simple equations over and over again.  For example equation x + 2 = 13 ........equation (1)

(1) If we put = 11 in equation , this equation is solved.  Since putting the value of 11 equals the equation.  The solution of this equation is 11 which is a natural number.  When the solution of Equation x + 5 = 5....... Equation (2)

(2) is Whole Number 0 (zero).  Equation (2) cannot be solved if we consider only natural numbers.  To solve Equation , 0 (zero) has to be added to the set of natural numbers.  Thus adding 0 (zero) to natural numbers gives complete numbers.  But even whole numbers are not enough to solve some equations.  

Like, x + 18 = 5 ....... equation (3)

(3) You observed, why is that?  

The solution of this equation (3) requires the number (-13).  This leads us to the integer (positive and negative) numbers.  Note here that positive integers correspond to natural numbers.  

ધોરણ-8 પ્રકરણ-1 નાં દાખલાઓની ગણતરીના વિડિઓ જોવા લિંક પર ક્લિક કરો

સ્વાધ્યાય - 1.1

Now one might even think that we have enough integers to solve fine equations.  Now check the following equations.  2x = 3..... equation (4) 

5x + 7 = 0........ equation (5) 

For which of the above equations do we get integers as a solution?  (Check) Verification of this matter is for Equation (4) and Equation (5) requires 3 numbers.  This leads us to a symmetrical number.  We have already seen the basic actions on symmetric numbers.  

સ્વાધ્યાય - 1.2

Let us now try to understand the properties of mathematical operations for the different types of numbers we have learned so far.