Question

In a quiz, the numbers in the progress bar may be uneven because questions can be worth more points than others. Calculate the value of the expression (1 + 3)^(2) - 10 ÷ 2, and explain how understanding mathematical expressions like this one can help you determine the weight or value of each question in the quiz.

Please provide the result of the calculation and an explanation for its relevance in assessing question values.

Answer 1

The value of the expression (1 + 3)^(2) - 10 ÷ 2 is 11. Understanding this expression helps determine the weight or value of each question in the quiz.

Step-by-step explanation:

To calculate the value of the expression (1 + 3)^(2) - 10 ÷ 2, we can follow the order of operations (PEMDAS). First, we perform the addition inside the parentheses, which gives us 4. Then we raise 4 to the power of 2, resulting in 16. Next, we divide 10 by 2, which is 5. Finally, we subtract 5 from 16, giving us a final result of 11. Understanding mathematical expressions like this one can help determine the weight or value of each question in the quiz because it allows us to assign different point values to each operation or group of operations, depending on their complexity or importance.