# Binary operation definition and examples

The answer is the intersection point. What is 2 4? Unfortunately, you now need to check all of the other possibilities. There is, however, a shorter way If the table is symmetric with respect to this line, the table is commutative. What is the identity element for the operation?

Find the single element that will always return the original value. The identity element is 4. You will have found the identity element when all of the values in its row and its column are the same as the row and column headings. Is associative for these values? Unfortunately, if you were asked the general question, "Is associative? Unlike the commutative property, there is NO shortcut for checking associativity when working with a table.

But remember, it only takes one arrangement which does not work to show that associativity fails. The answer is the intersection point. What is 2 4? Unfortunately, you now need to check all of the other possibilities. There is, however, a shorter way If the table is symmetric with respect to this line, the table is commutative.

What is the identity element for the operation? Find the single element that will always return the original value. The identity element is 4. You will have found the identity element when all of the values in its row and its column are the same as the row and column headings.

Is associative for these values? Unfortunately, if you were asked the general question, "Is associative? Unlike the commutative property, there is NO shortcut for checking associativity when working with a table.

But remember, it only takes one arrangement which does not work to show that associativity fails.