course Mth 151
July 7 around 1 A.M
Here are the ten questions:
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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.
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Your solution: (type in your solution starting in the next line)
If a person makes 8 dollars of every hour that they work and they are trying to earn 72 dollars they would divide 72 by 8 which equals 9. So it would take 9 hrs to get 72 dollars at a pay rate of 8 dollars an hour.
3
OK
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: (type in your solution starting in the next line)
In order to calculate (8+3)*5 you must first do the problem within the () due to the order of operations. So (8+3) equals 11. Now we must multiply 11 by 5 which is 55. So (8 + 3) *5= 55. Now when calculating 8+3*5 you would multiply first 3*5 equals 15. So 8+15= 23 The difference in the problems is due to the order in which they are solved which is determined based on the order of operations.
3
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:
In solving (2^4)*8 you would first do the (). So (2^4) = 16 because 2*2*2*2=16. Next you would multiply 16*3= 48. So (2^4) * 3 =48. When solving 2^(4 * 3) you would first do the (). (4*3)=12. Now 2^12 =4096 because 2*2*2*2*2*2*2*2*2*2*2*2= 4096. Due to the placement of the () and the power the 2 is raised to makes these 2 equations completely different.
3
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:
You have to do the 3^2 first which equals 9. Next you do the multiplication so 3*5 = 15 and 4*12= 48. Leaving us with 15-36 which equals -21. You would do the () first. So (4*3)=12. Next you do the ^ so 12*12= 144. Followed by 3*5=15. Leaving us with 15-144 =129. The difference is due to the parentheses in the second problem that alters the order of operations because () always go first.
3
OK
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Question: `q010. If you divide a certain positive number by 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: No matter what if a number is divided by one it always equal the original number .
3
OK
Question: `q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: If a number is positive and being divided then it will have to be smaller because it is breaking down the number into smaller parts that is what dividing is.
2
OK
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Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: If you divide a positive number by a positive number smaller than one then it will be greater than the original number because you are dividing by pieces of a number so obviously there will be more.
2
OK
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Question: `q013. Students often get the basic answers to nearly all, or even all these questions, correct. Your instructor has however never seen anyone who addressed all the subtleties in the given solutions in their self-critiques, and it is very common for a student to have given no self-critiques. It is very likely that there is something in the given solutions that is not expressed in your solution.
This doesn't mean that you did a bad job. If you got most of the 'answers' right, you did fine.
However, in order to better understand the process, you are asked here to go back and find something in one of the given solutions that you did not address in your solution, and insert a self-critique. You should choose something that isn't trivial to you--something you're not 100% sure you understand.
If you can't find anything, you can indicate this below, and the instructor will point out something and request a response (the instructor will select something reasonable, but will then expect a very good and complete response). However it will probably be less work for you if you find something yourself.
Your response should be inserted at the appropriate place in this document, and should be indicated by preceding it with ####.
As an answer to this question, include a copy of whatever you inserted above, or an indication that you can't find anything.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv Question: `q010. If you divide a certain positive number by 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: No matter what, if a number is divided by one it always equal the original number .
I fully understood the question but was unsure how to go about explaining it. After reading your solution I realized I could have been much more specific in many different ways. I should have stated the question more like this: No matter what, if a positive number is divided by one it always will equal the original number because by dividing one number into another you are basically separating the original number into parts. So when separating a number into one part it always has to equal that number. This solution seems much more descriptive and clear.
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You appear to have deleted the given solutions. Never delete anything from the original document. The first thing I look for is self-critique ratings, which follow the given solution, and any questions that you might have inserted into a self-critique.
OK on this document but keep this in mind in the future.
#$&*