What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right? Write an expression for your classmates to simplify using at least three of the operations from the order of operations.
Consider participating in the discussion by simplifying a classmate’s expression, showing how the expression would be incorrectly simplified if computed from left to right, or challenging the class with a complicated expression. Respond to your initial post and provide your classmates with the answer to your expression.
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The steps of the order of operations are as follows:
1. Parentheses: Simplify any expressions inside parentheses first.
2. Exponents: Simplify any expressions with exponents next.
3. Multiplication and division: Perform any multiplications and divisions from left to right.
4. Addition and subtraction: Lastly, perform any additions and subtractions from left to right.
It is important to follow these steps because they provide a standardized way to solve mathematical expressions. Following these steps ensures that everyone arrives at the correct answer, regardless of their personal preferences or interpretations. By solving the problem from left to right without following the order of operations, you might end up with an incorrect result.
Here's an example expression for your classmates to simplify using at least three of the operations from the order of operations:
(5 + 2) * 3 - 4 / 2
To simplify this expression, we first solve what's inside the parentheses: 5 + 2 = 7.
Next, we perform the multiplication and division:
7 * 3 = 21, and 4 / 2 = 2.
Finally, we perform the subtraction:
21 - 2 = 19.
So, the answer to the expression (5 + 2) * 3 - 4 / 2 is 19.