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1.02 Order of Operations Intermediate Algebra: One Step at a Time. Page 14 - 19: #24, 25, 30, 32, 36. Dr. Robert J. Rapalje Seminole State College of Florida Sanford, FL 32773
To see Section 1.02, with detailed explanations, examples, exercises, and answers, click here!
24.
According to the order of operations, since there are NO parentheses here, the next step is to Raise to the Power.
The next step is to Multiply or Divide from Left to Right. This means to divide by 3 first, and then multiply by 2. [NOTE: DO NOT multiply 3•2!!]
The last step is to add, so the final answer is 30.
25.
Since there
ARE parentheses, do what is within Parentheses first! This would be the
The next step is to Multiply or Divide from Left to Right. This means to divide by 2 first, and then multiply by 2.
Final Answer: 20
30.
According to the order of operations, since there are NO parentheses here, the next step is to Raise to the Power.
The next step is to Multiply or Divide from Left to Right. Be sure to do the operations from Left to Right. First divide by 2, and then multiply by 3. [NOTE: DO NOT multiply 2•3!!]
Multiply 6•8=48:
Finally subtract, and then add from left to right:
Final Answer: 54
32.
Again, since there are NO parentheses here, the next step is to Raise to the Power.
The next step is to Multiply or Divide from Left to Right. Be sure to do the operations from Left to Right.
Finally, do the addition and subtraction, of course from left to right:
Final Answer: 125
36.
The first step is Parentheses. Since there are sometimes two operations within a set of parentheses, it will take two steps to do this.
The next step is to Raise to the Power.
The next step is to Multiply or Divide from Left to Right. Be sure to do the operations from Left to Right.
Finally, do the Addition and Subtraction, of course from left to right:
Final Answer: 4
[By the way, you should show as many steps as you need to be comfortable with your work. You would not be expected to show ALL of these steps!!]
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