11×10a

11×10a is a mathematical expression representing the product of the constant numbers 11 and 10 with the variable a. In standard algebra, multiplication is associative, so 11×10a can be rewritten as (11×10)×a, which equals 110a. This makes it a linear term with a coefficient of 110.

Interpretation and scope

As a scalar expression, 110a denotes scaling the quantity a by the factor 110. If a is a real or complex number, the result is a real or complex number respectively. If a is a matrix or vector, 110a denotes scalar multiplication, meaning every entry of a is multiplied by 110.

Examples

- If a = 3, then 11×10a = 11×(10×3) = 11×30 = 330, which also equals 110×3.

- If a = [1, 2], then 110a = [110, 220].

Use in equations

In equations, 11×10a often appears as a linear term. For example, if 11×10a = b and a is a scalar, then a = b/110, provided b is a number and 110 ≠ 0. In vector or matrix contexts, the same division applies to the scalar side when isolating a, or the equation can be interpreted through standard algebraic manipulation of scalars and linear operators.

Notes

The expression is a straightforward example of scalar multiplication and linear scaling. It illustrates how constant factors combine, since 11 and 10 are both constants that multiply the variable a. In broader contexts, one may encounter 11×10a alongside other terms in a polynomial or a system of linear equations.