What is a binary operation?
Q: What is a binary operation?
A: In mathematics, a binary operation is a way of combining a pair of elements in a set that results in another element of the set.
Q: How is binary operation denoted in mathematics?
A: Binary operation is often denoted by an asterisk symbol (*).
Q: What is an example of a binary operation on natural numbers?
A: Addition and multiplication are examples of binary operations on natural numbers.
Q: What is the result of applying a binary operation to a pair of natural numbers?
A: The result of applying a binary operation to a pair of natural numbers is another natural number.
Q: Can binary operations be applied to other mathematical objects besides numbers?
A: Yes, binary operations can be applied to other mathematical objects such as sets, matrices, and functions.
Q: What are some examples of binary operations on sets?
A: Examples of binary operations on sets include the union and intersection of sets.
Q: In what set can two different binary operations be performed?
A: Two different binary operations can be performed on the set of all sets, or on subsets in a power set.