Definition: Non-cancellation, also known as cancellation, is a concept in mathematics and computer science that describes how two or more numbers can be multiplied together without leaving any remainder. It's particularly useful when performing arithmetic operations on a set of numbers. The key idea behind non-cancellation is that multiplying two numbers together should result in another number that is not necessarily divisible by the first one, but instead leaves no remainder. This property allows us to perform calculations quickly and efficiently, especially for large or complex computations.