Question

Select the mathematical equation that illustrates the principle of closure.

a) (a + b) × c = a × c + b × c
b) a + b = b + a
c) a × (b + c) = a × b + a × c
d) a × (b × c) = (a × b) × c

Answer 1

The mathematical equation that illustrates the principle of closure is option (d) a × (b × c) = (a × b) × c.

Step-by-step explanation:

The mathematical equation that illustrates the principle of closure is option (d) a × (b × c) = (a × b) × c.

The principle of closure states that when performing an operation on two elements of a set, the result is always another element in the same set.

For example, if a, b, and c are all real numbers, then multiplying them together follows the principle of closure because the result (a × b) × c is also a real number.