a special set of rules, called the...blank..., can be used to solve expressions with more than one operation
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Operations
The special set of rules you are referring to is called the order of operations. It provides a clear sequence for evaluating expressions that involve multiple operations such as addition, subtraction, multiplication, and division. The order of operations is designed to ensure consistent and unambiguous results when calculating mathematical expressions.
Here is the step-by-step guide for applying the order of operations:
1. Parentheses: Evaluate any expressions within parentheses first. Start by solving the innermost parentheses and work your way outwards.
Example: 2 + (3 * 4) - (8 / 2) = 2 + 12 - 4 = 10
2. Exponents: Evaluate any exponential operations (such as squares or cubes) next.
Example: 2^3 = 2 * 2 * 2 = 8
3. Multiplication and Division: Perform any multiplications and divisions from left to right.
Example: 4 * 3 / 2 = 12 / 2 = 6
4. Addition and Subtraction: Perform any additions and subtractions from left to right.
Example: 10 + 6 - 3 = 16 - 3 = 13
By following these steps in order, you can solve expressions correctly, ensuring that the result is accurate.