Final answer:
To evaluate the expression 2(5 - 3²) + 4/2, follow the order of operations: exponent, then multiplication and subtraction, and finally addition.
Step-by-step explanation:
To evaluate the expression 2(5 - 3²) + 4/2, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). Let's break it down step by step:
- The exponent 3² means 3 raised to the power of 2, which is 3 × 3 = 9.
- Next, we multiply 2 by the result of the subtraction 5 - 9, which gives us 2 × (-4) = -8.
- Then, we divide 4 by 2, which equals 2.
- Finally, we add -8 and 2, resulting in -8 + 2 = -6.
Therefore, the value of the expression is -6. Therefore, the correct answer is d) -6.