Exercise · ZW-BINARY-OPERATION-002 · ★☆☆ Basic
Which is a binary operation on ℤ?
Choose one option.
Show answer
- A. Addition
Explanation
Addition is defined for every pair of integers and the result is an integer. Division fails because 1/2 is not an integer (and dividing by zero is not defined), and the square root is unary and does not always give integers.
Review the concept: Binary operation
A binary operation on a set G is a function that takes any two elements of G and returns an element of G.
\[\ast:G\times G\to G\]
More practice problems: binary operation
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