Wednesday, 30 May 2012

Adding Integers

In the previous section we have discussed about how to multiply fractions and In today's session we are going to discuss about Adding Integers, When we talk about integers, we say that integers are the series of all positive and negative integers, with zero as the middle number.  The series of integers is endless and extends from minus infinite to positive infinite. We will look at Adding Integers, and how the result of addition of two integers can be attained.  Let us first look at the rules of adding two integer numbers:
a)      If we have two integers a and b such that both the integers are positive integers then we will simply add the digits and get the sum of the two numbers along with the positive sign. Now we see the following example for such sum of integers: +4 + ( + 5 ) = +9
b)      If we have two integers a and b such that  one of the integers is a  positive integers and the second number is a negative number, then we will simply find the difference of the two digits  and get the sum of the two numbers along with the sign of the number which has a greater absolute value. If the negative number has greater magnitude, then we say that sign will be negative and if the positive number has a greater magnitude then we have the result as a positive number.  Now we see the following example for such sum of integers: +4 + ( -7 ) = -3 and  -4 + ( + 7 ) = + 3
c)      If we have two integers a and b such that both the integers are negative integers then we will simply add the  magnitude of the two digits and get the sum of the two numbers along with the negative sign. Now we see the following example  for  such sum of integers : -4 + ( - 5 ) = -9

We will learn about Integration by Parts in class 11 CBSE syllabus of mathematics.

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