Assignment 1

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

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10:52:57 query R.1.14 (was R.1.6) Of the numbers in the set {-sqrt(2), pi + sqrt(2), 1 / 2 + 10.3} which are counting numbers, which are rational numbers, which are irrational numbers and which are real numbers?

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RESPONSE --> Counting numbers: {2} Rational numbers: {-2, 1/2, 10.3, 2} Irrational numbers: {-sqrt, pi, sqrt} Real Numbers: All numbers listed are real numbers

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10:54:44 ** The product of 2 and x is 2 * x and the product of 4 and 6 iw 4 * 6. To say that these are identical is to say that 2*x=4*6. **

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RESPONSE --> Counting: 1,2,3,4 Rational: ratio of two integers

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10:57:36 query R.1.50 (was R.1.42) Explain how you evaluate the expression 2 - 5 * 4 - [ 6 * ( 3 - 4) ]

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RESPONSE --> 2-5*4-[6*(3-4)] 2-5*4-[6*(-1)] 2-5*4-[-6] 2-20+6 2-14= -12

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10:57:48 **Starting with 2-5*4-[6*(3-4)]. First you evaluate the innermost group to get 2-5*4-[6*-1] . Then multiply inside brackets to get 2-5*4+6. Then do the multiplication to get 2-20+6. Then add and subtract in order, obtaining -12. **

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RESPONSE --> ok

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10:59:16 query R.1.80 (was R.1.72) Explain how you use the distributive property to remove the parentheses from the express (x-2)(x-4).

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RESPONSE --> (x-2)(x-4) x^2-2x-4x+8 =x^2-6x+8

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10:59:34 ** COMMON ERROR: Using FOIL. FOIL is not the Distributive Law. FOIL works for binomial expressions. FOIL follows from the distributive law but is of extremely limited usefulness and the instructor does not recommend relying on FOIL. Starting with (x-2)(x-4) ; one application of the Distributive Property gives you x(x-4) - 2(x-4) . Applying the property to both of the other terms we get x^2 - 4x - (2x -8). Simplifying: x^2 - 4x - 2x + 8 or x^2 - 6x + 8. *

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RESPONSE --> got it right

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11:00:36 query R.1.86 (was R.1.78) Explain why (4+3) / (2+5) is not equal to 4/2 + 3/5.

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RESPONSE --> (4+3)/(2+5)= 7/7 = 1

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11:00:57 ** Good answer but at an even more fundamental level it comes down to order of operations. (4+3)/(2+5) means 7/7 which is equal to 1. By order of operations, in which multiplications and divisions precede additions and subtractions, 4/2+3/5 means (4/2) + (3/5), which gives us 2+3/5 = 2 3/5 **

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RESPONSE --> got it correct

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11:01:10 Query Add comments on any surprises or insights you experienced as a result of this assignment.

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RESPONSE --> None

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I'm glad to see you getting on track.

Good job. Let me know if you have questions.