Note on Closure property of integers under addition

In this lesson let me help you go through on closure property of integers under addition. Before i go more deep on this let me help you understand on what is all about integers.

What is integers?
The negative numbers, zero and the natural numbers together are called integers.
For example -8, -2, 0,2,8

Now we will discuss about the closure property of integers:

If a and b are two integers, then a+ b is also an integer. In other words, the sum of any two integers is also an integer or, integers are closed for addition.

Verification : In order to verify this property, lets us take any two integers and add them. We find the sum is always an integer.

Consider the following :

Integer(a) Integer(b) Sum(a+b)

5 7 (5+7)=12

[Here we observe that 5 is an integer as well 7 is also another integer and now if we add these two integers then the sum 12 is also an integer].

Integer(a) Integer(b) Sum(a+b)

-8 5 {(-8+5)}=-3

[Here we observe that -8 is an integer as well 5 is also another integer and now if we add these two integers then the sum -3 is also an integer].

Integer(a) Integer(b) Sum(a+b)

8 -10 {8+(-10)}=8-10=-2

[Here we observe that 8 is an integer as well -10 is also another integer and now if we add these two integers then the sum -2 is also an integer].

This was just a brief introduction to the topic . Keep reading and leave your comments. May be in the next lesson let me help you go through more on properties of logarithms.