0×2

0×2 is the product of zero and two in standard arithmetic, and the result is 0. This simple example illustrates a fundamental rule known as the zero property of multiplication: multiplying any number by zero yields zero.

The zero property holds for the common number systems used in basic mathematics, including integers, real numbers, and complex numbers. Because multiplication is commutative in these systems (a×b = b×a), 0×2 = 2×0 = 0. In more advanced contexts such as modular arithmetic or linear algebra, the product of zero with any element remains zero under the usual definitions of multiplication.

Beyond arithmetic, the concept is captured by the idea of zero being an absorbing element for multiplication: multiplying by zero “absorbs” the other factor to yield zero. In algebraic structures that follow standard multiplication rules, this means that for any element a, a×0 = 0 and 0×a = 0.

In practical terms, 0×2 appears in examples, demonstrations, and computations to show the effect of multiplying by zero. It also serves as a basic check in calculators and software to verify that the multiplication operation handles the absorbing element correctly.