0×4

0×4 is the product of the numbers zero and four. In arithmetic, the × symbol denotes multiplication, a binary operation that combines two numbers to produce a third number.

The value of 0×4 is 0. More generally, multiplying any number by zero yields zero. This zero property, also called the absorbing property of zero, holds for integers, rational, real, and complex numbers: a×0 = 0 and 0×a = 0 for any a.

Examples include 0×4 = 0, 0×−7 = 0, 4×0 = 0, and 0×0 = 0. The order of the factors does not matter, reflecting the commutativity of multiplication.

In mathematical practice, the zero property supports simplification in algebra, such as reducing expressions like 4x + 0 to 4x or solving equations where a term is multiplied by zero. It is also a fundamental consequence of the distributive and additive identities that underpin the basic arithmetic axioms.

Notes on notation and bases: the result of 0×4 is 0 regardless of numeral base (decimal, binary, etc.). The concept of zero as an absorbing element for multiplication is consistent across standard number systems.

See also: multiplication, zero (number), absorbing element.