Algebraic Expressions and Exponents

“Socks Then Shoes” OR “Shoes Then Socks”?

Part 1:

1. Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression.
2. Provide an example of a real-life situation where a specific order of steps is necessary for a proper end result. What will happen if the proper order is not followed? (Humor and creativity are encouraged, if used appropriately.) Click here to see an example.
3. Develop an original mathematical expression which must be simplified using order of operations. Include addition, subtraction, multiplication, division, exponents, and at least one set of parentheses. Simplify the expression INCORRECTLY, showing each step as you simplify. DO NOT include the reasons for each step. Do not include variables (letters) in your expression.

Part 2:

Choose ONE classmate’s incorrectly simplified expression that has NOT already been corrected by a classmate. Simplify the expression correctly explaining each step. Identify the error, or errors, made. Make sure you only correct ONE classmate’s expression, so that everyone has an expression to correct. (See Example 1 in Section P.1 of the text for an example of order of operations with explanation.) Keep in mind that Discussion Boards are meant to be constructive exchanges.

Part 3:

Choose one of the following to complete:

1. Find and comment on at least one classmate’s correction of an expression. Make sure your comments are substantive and advance the Discussion. If the expression is not simplified correctly, tactfully identify the error and simplify the expression correctly.
2. Did a particular study strategy or resource help you with your Assignments this week? Share what you thought worked well this unit in your response to your classmate.

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