Final answer:
To answer the question, operation symbols (+, -, *, /) are randomly selected to fill in the blanks for an expression, and then standard order of operations is applied to simplify the result. An example solution is provided, and the importance of checking the answer is emphasized.
Step-by-step explanation:
The question involves creating and simplifying a mathematical expression. One has to randomly select operation symbols (+, -, *, or /) to fill in the blanks in the expression (3 __ 7 __ 6 __) __ 1. To simplify the resulting expression, one would follow the standard order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), and then eliminate terms wherever possible. For example, if we were to choose multiplication and addition, the expression could look something like (3 * 7 + 6) + 1, which simplifies to (21 + 6) + 1, and further simplifies to 28.
After performing the operations, it's important to check the answer to ensure that it is reasonable. This involves verifying that all arithmetic has been conducted properly and considering whether the value makes sense in the context of the problem.