course Mth 151
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:
Making 8 dollars per hour means that you are making 8 dollars for each hour you work. To see how long you work to make 72 dollars, do 72/8 to reach the answer of 9. This means that you will have to 9 hours to make 72 dollars.
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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:
The first step in calculating (8+3)*5 is to do what is in parentheses, (8+3), which equals 11. You will then multiply 11 by what is left, 5. 11*5=55. (8+3)*5= 55
The first step in solving 8+3*5 is to solve what is being multiplied, 3*5= 15. You will then use what is left combined with the first step, 8+15 which gives you 23. 8 + 3 * 5 = 23
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:
To evaluate (2^4) * 3 you have to figure out what 2^4 is. 2^4 is saying 2 to the 4th power which is the same as 2 * 2 * 2 * 2= 16 * 3 = 48.
To evaluate 2^(4 * 3) you have to first do what is in parentheses, (4 * 3)= 12. 2^12 is 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 4096
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:
Order of operations says that exponents must be done first. 3^2 is 3 * 3= 9. We are now solving 3 * 5 - 4 * 9. We now work the multiplication parts from left to right. 3 * 5 = 15 - 4 * 9. Now, 4 * 9 = 36. Finally, 15 - 36 = -21.
Using order of operations, we start with what’s in parentheses, the equation now becomes 3 * 5 – 12^2. 12^2= 12 * 12 = 144. 3 * 5 – 144= 15 – 144= -129.
The reason for the difference in the answers has to do with order of operations. Since the first equation doesn’t have parentheses, begin with the exponent and since there are parentheses in the second equation that’s where you begin. When things are done this way, the numbers you come out with are different, making the whole equation different.
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:
Any number that is divided by 1 is the same as the original number no matter what that original number is.
3
Ok
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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:
The number is smaller because the bigger the positive number you start with, the smaller the quotient will be as long as it’s positive. Kind of like the more people you have, the smaller the slice of cake you get, given the cake is cut into equal slices.
3
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:
6/0.5= 12
6/.75=8
The above problems illustrate how the positive number being divided by a certain positive number gives you the result of a larger number than the original.
#### If you divide a positive number by 1, the result is the same as your original number. So if you divide the positive number by a positive number less than 1, what you get has to be larger than the original number.
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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 If you divide a positive number by 1, the result is the same as your original number. So if you divide the positive number by a positive number less than 1, what you get has to be larger than the original number.
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Several problems are missing from this document. Please resubmit and include the entire document. You can simply copy your answers into the original document, insert self-critique ratings, etc.. Then answer the questions to which you didn't include an answer.
&#I need to see the questions so I can be sure what your answers mean. Most of the time I can tell, but I'm dealing with information that comes in from over 1000 different files, containing a total of about 10 000 questions. While I'm familiar with the content and sequencing of the questions, having written them all, and know what I'm looking for, different students will answer these questions in different ways and I need to be able to relate your answers to the specific wording of each question.
When reviewing my responses you will also need to be able to relate your answers and my comments to the specifics of the original document.
So it will be important for you to insert your responses into a copy of the original document, according to instructions, without otherwise changing any of the content of the original document.
This will ensure you of the best possible feedback on your work. &#
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