Question

Use the order of operations to evaluate this expression: 7 + (5 -9)2 + 3(16 + 8).

a) -25
b) 79
c) 101
d) 115

Answer 1

Using the order of operations, the expression evaluates to 71, which does not match any of the provided answer choices.

Step-by-step explanation:

To evaluate the expression 7 + (5 -9)2 + 3(16 + 8) using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), follow these steps:

1. Calculate the expressions inside the parentheses: (5 - 9) becomes -4, and (16 + 8) becomes 24.
2. Perform any exponents: There are no explicit exponents to be calculated in this expression.
3. Perform all multiplications and divisions from left to right: (-4)2 becomes -8, and 3×24 becomes 72.
4. Finally, perform all additions and subtractions from left to right: 7 - 8 + 72 becomes -1 + 72, which equals 71.

So, the correct answer is 71, which is not listed among the options provided: a) -25, b) 79, c) 101, d) 115.