Final answer:
To evaluate the expression 42 − (8+3) + 2, we first add the numbers within the parentheses (8 + 3 = 11), then subtract that from 42 (42 − 11 = 31), and finally add the 2 (31 + 2 = 33). The value of the expression is 33.
Step-by-step explanation:
To find the value of the expression 42 − (8+3) + 2 using the order of operations, we start by performing the calculation within the parentheses first. According to the basic principle of operation, we add the two numbers within the parentheses.
8 + 3 = 11
Now, we have the expression without parentheses:
42 − 11 + 2
Next, we perform the subtraction:
42 − 11 = 31
Finally, we add the remaining number:
31 + 2 = 33
Therefore, the expression 42 − (8+3) + 2 evaluates to 33.