What is a binary operation?
To define: The binary operation.
Explanation of Solution
A binary operation is an operation, or rule, that can be performed on two and only two elements (input) of the set. The resulting element (output) is a single element.
Add two elements, the resulting sum is a single element. Likewise for multiplication.
Examples for addition is
Example for multiplication is
But subtraction and division only for exceptional case.
Example for subtraction
Division is a binary operation only on
Note:
A reciprocal of a number is not a binary operation, since it is an operation on a single element.
Want to see more full solutions like this?
Chapter 9 Solutions
Books a la carte edition for A Survey of Mathematics with Applications (10th Edition)