0×5

0×5 denotes the product of the numbers 0 and 5 under multiplication. The result is 0. This expression illustrates the zero property of multiplication: multiplying any number by zero yields zero.

In standard arithmetic, the symbol × is the multiplication operator. The expression can appear in math problems, on calculators, or in text where the cross symbol is used as the multiplication sign; some contexts use the asterisk (*) instead.

The principle extends to all numbers and objects in appropriate algebraic systems. For any a, a×0 = 0 and 0×a = 0, including the case 0×0 = 0. This property is a consequence of the way multiplication is defined, often understood as repeated addition, and it characterizes zero as the absorbing element for multiplication.

In broader mathematical contexts, the product of zero and any element remains zero. For example, in modular arithmetic, 0×5 ≡ 0 (mod n) for any modulus n. In linear algebra and related structures, multiplying by a zero scalar yields the zero object, and multiplying the zero vector by any scalar also yields the zero vector, subject to the conventions of the space.

Common misunderstandings include confusing zero with the multiplicative identity, which is 1 and leaves numbers unchanged when multiplied. Note that the value of 0×5 is unambiguous: it is 0.