Final answer:
The mathematical operation in question demonstrates the use of the associative property, where numbers in addition or multiplication can be regrouped without changing the outcome.
Step-by-step explanation:
The mathematical principles in the question pertain to the distributive property and the associative property. The distributive property involves the multiplication of a sum by multiplying each addend separately and then adding the products. On the other hand, the associative property pertains to how operands are grouped within parentheses when adding or multiplying, but do not affect the result (e.g., (a + b) + c = a + (b + c) for addition).
In your example, 36=30+6. 30×5=150. 6×5=30. 150+30=180 demonstrates the use of the associative property, where addition or multiplication can be regrouped without changing the result.