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course MTH 173
Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: It will take you 9 hours to make 72 dollars. 8*9=72.
Confidence Rating: 3
Self-critique: OK
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Self-critique Rating: OK
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Question: `q004. Calculate (8 + 3) * 5 and 8 + 3 * 5, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
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Your solution: (8+3) * 5 = 55, according to PEMDAS we add what is in the parenthesis before multiplying. 8 + 3 * 5 = 23 this time according to PEMDAS we multiply first then add. The reason for the difference in results is the fact that the order of operations differed.
Confidence Rating: 3
Self-critique: OK
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Self-critique Rating: OK
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution: (2^4) * 3 = 16*3 = 48 calculate parenthesis first then the multiplication. 2^(4*3) = 2^(12)= 4096. Once again the different results are because of the change in the order of operations.
Confidence Rating: 3
Self-critique: OK
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Self-critique Rating: OK
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Question: `q006. Calculate 3 * 5 - 4 * 3 ^ 2 and 3 * 5 - (4 * 3)^2 according to the standard order of operations, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
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Your solution: 3 * 5 - 4 * 3 ^ 2 = 3 * 5 - 4 * 9 = 15 - 36 = -21
3 * 5 - (4 * 3)^2 = 3 * 5 - (12)^2 = 3 * 5 -144= 15 -144= -129
Because of order of operations, we raise the three two the second power before multiplying in the first problem, in the second problem, because of the parenthesis, we multiply and the raise 12 to the 2nd power thus making the answer smaller.
Confidence Rating: 3
Self-critique: OK
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Self-critique Rating: OK