a×00

a×00 is the product of a and the decimal representation 00. Since 00 is simply another way of writing the number 0, the expression is the same as a × 0.

In standard arithmetic, multiplying any number by zero yields zero. This is a fundamental property that holds in basic number systems such as the integers, rationals, reals, and complex numbers. The same idea extends to broader algebraic structures: in any ring or field, a × 0 = 0. In linear algebra, multiplying a matrix by a zero matrix of compatible dimensions also results in the zero matrix.

Leading zeros, such as the two zeros in 00, do not change the value of the numeral. They are a formatting detail rather than a mathematical difference. In computer languages, numeric literals like 00 are typically parsed as 0, so expressions such as 7 × 00 evaluate to 0.

Edge cases occur only when the quantity a is not a well-defined number, such as certain limits or undefined symbols. In ordinary arithmetic with a fixed a, a × 00 equals 0. The result is sometimes described as the absorbing property of zero under multiplication.

Examples:

- 7 × 00 = 7 × 0 = 0

- (-4) × 00 = (-4) × 0 = 0

- A matrix A times a zero matrix of compatible size yields the zero matrix.

Overall, a×00 is a straightforward instance of the general rule that any quantity multiplied by zero, under standard interpretation, is zero.