210×0

210×0 denotes the product of the integers 210 and 0. In standard arithmetic, any number multiplied by zero equals zero, so 210×0 = 0. The zero element is absorbing for multiplication: for any number a, a×0 = 0 and 0×a = 0. This property holds in the common number systems used in everyday mathematics, including integers, rationals, reals, and complex numbers, and in many algebraic structures such as rings that contain a zero element. A brief justification uses distributivity: a×0 = a×(0+0) = a×0 + a×0, and subtracting a×0 from both sides yields a×0 = 0. In practical terms, the product is used as a simplification when a factor is zero, and in modular arithmetic it remains congruent to zero modulo any modulus. The factor 210 is an arbitrary nonzero value; its prime factorization (2×3×5×7) does not affect the outcome of the product with zero. Overall, 210×0 is a straightforward illustration of the zero multiplication rule that applies across standard arithmetic.