What is operation in mathematics
languages?
An operation is like a function which
when act on an element of a set changes its value or some thing like
because to operate means to change, right !
Now, what is binary operation ?
Binary means which involves two.
So it is clear from the name that this
operation involves two elements of a set.
I think you can now digest the below
definition.
Binary operation is a function that
assigns to each ordered pairs of elements of set, an element of that
set .
Notation - *
operation between a and b is denoted by
a*b, where a and b are elements of set.
Here ordered pairs talks about two
elements of set, as you know pairs means two elements together but
why there is “ ordered “ here.
Ordered pairs and not just pairs
because here order matters, because a*b is different from b*a , it
can be equal but not generally.