Final answer:
The evaluation of the numerical expression 0.5² x (20 - 2² x 3) x (2/5 x 25) follows the order of operations (PEMDAS). The final result of the expression is 20.
Step-by-step explanation:
In order to evaluate the numerical expression 0.5² x (20 - 2² x 3) x (2/5 x 25), you need to follow the order of operations, which can be remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Starting with the parentheses, we calculate 2² x 3 = 12. Then, we subtract this from 20 to get 8.
Afterward, we multiply 0.5² (= 0.25) with this 8, resulting in 2. Then we perform the calculation in the second parentheses (2/5 x 25) = 10. Finally, we multiply the results 2 x 10 = 20.
Thus, the value of the numerical expression 0.5² x (20 - 2² x 3) x (2/5 x 25) is 20.
To evaluate the expression, we follow the order of operations: parentheses, exponents, multiplication, and addition/subtraction (PEMDAS). First, simplify the expression inside each set of parentheses. Then, raise 0.5 to the power of 2. Next, calculate the products and perform the remaining multiplication. Finally, calculate the final product. The answer is the final value obtained after all the simplifications.
Learn more about Numerical Expression Evaluation