Final answer:
The order of operations is used to evaluate numerical expressions. In this case, the expression 8 + [16(17-16) + 11 - 8] * 5 simplifies to 103 following the order of operations.
Step-by-step explanation:
The subject of this question is Mathematics, specifically involving the concept of Order of Operations. The problem is to evaluate the expression 8 + [16(17-16) + 11 - 8] * 5 using the order of operations, which is often remembered by the acronym PEMDAS - Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, we resolve the operation inside the brackets: 16(17-16) + 11 - 8. We have a subtraction inside the parentheses, so we do that first: 16(1) + 11 - 8 = 16 + 11 - 8. Then we follow the rest of the operations from left to right: 16 + 11 - 8 = 19.
Our initial expression then becomes: 8 + 19 * 5. We continue with the operation that follows the order of operations, in this case, multiplication: 19 * 5 = 95. Hence, our equation now becomes: 8 + 95. Finally, we perform the addition, which results in: 103.
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