Final answer:
To evaluate the expression, follow PEMDAS order of operations, calculate inside the parentheses first, then perform addition, and finally square the result.
Step-by-step explanation:
To evaluate the given expression (-1/3 + 0.3(-1/3) + 1)^2, we need to follow the order of operations, also known as PEMDAS. First, we perform any calculations inside the parentheses. In this case, 0.3 multiplied by (-1/3) is equal to -0.1. Next, we add the values inside the parentheses and the one outside: -1/3 + (-0.1) + 1 = -0.433333333. Lastly, we square the result: (-0.433333333)^2 = 0.1875.
Learn more about Evaluating expressions using the order of operations