course Mth 158 圬Yμ䥽錛鍣┿嵫孆巡她骁乤ssignment #001
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12:15:25 query R.1.26 \ was 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- 1/2+10.3 Rational- 1/2+10.3 Irrational numbers- -sqrt(2) & pi+sqrt(2) Real numbers- pi + sqrt (2), 1/2+10.3
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12:16:21 06-07-2009 12:16:21 ** Counting numbers are the numbers 1, 2, 3, .... . None of the given numbers are counting numbers Rational numbers are numbers which can be expressed as the ratio of two integers. 1/2+10.3 are rational numbers. Irrational numbers are numbers which can be expressed as the ratio of two integers. {-sqrt(2)}, pi+sqrt(2) are irrational numbers.. **
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12:16:23 ** Counting numbers are the numbers 1, 2, 3, .... . None of the given numbers are counting numbers Rational numbers are numbers which can be expressed as the ratio of two integers. 1/2+10.3 are rational numbers. Irrational numbers are numbers which can be expressed as the ratio of two integers. {-sqrt(2)}, pi+sqrt(2) are irrational numbers.. **
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RESPONSE -->
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12:16:25 06-07-2009 12:16:25 ** Counting numbers are the numbers 1, 2, 3, .... . None of the given numbers are counting numbers Rational numbers are numbers which can be expressed as the ratio of two integers. 1/2+10.3 are rational numbers. Irrational numbers are numbers which can be expressed as the ratio of two integers. {-sqrt(2)}, pi+sqrt(2) are irrational numbers.. **
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.................................................芤悧鄿W叹酄G玑▽摻
assignment #001 001. `query 1 College Algebra 06-07-2009
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12:19:07 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- any whole numbers , there are no given counting numbers Rational numbers- 1/2+10.3 Irrational numbers- -Sqrt(2), pi + sqrt (2) confidence assessment: 2
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12:20:21 ** Counting numbers are the numbers 1, 2, 3, .... . None of the given numbers are counting numbers Rational numbers are numbers which can be expressed as the ratio of two integers. 1/2+10.3 are rational numbers. Irrational numbers are numbers which can be expressed as the ratio of two integers. {-sqrt(2)}, pi+sqrt(2) are irrational numbers.. **
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RESPONSE --> self critique assessment: 3
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12:21:05 R.1.32 (was R.1.24) Write in symbols: The product of 2 and x is the product of 4 and 6
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RESPONSE --> 2*x=4*6 confidence assessment: 3
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12:21:28 ** 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 --> self critique assessment: 3
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12:23:49 R.1.50 (was R.1.42) Explain how you evaluate the expression 2 - 5 * 4 - [ 6 * ( 3 - 4) ]
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RESPONSE --> To evaluate this eexpression you first complete the problem in the brackets, but within in brackets do the paranthesis first [6*(3-4)] 6*(-1) -6 2-5*4-(-6) you then do the multiplication 2-20-(-6) -18-(-6) =-24 confidence assessment: 3
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12:27:01 **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 --> When I did this I completely overlooked the fact that you would be subtracting a negative number which makes that cancel out to actually be adding that number so instead of subtracting -6 i should have added 6 2-20+6 -18+6 -12 self critique assessment: 3
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12:33:43 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) you first take out what both sets have in common and in this case it is x and 2 x-2*-2 x+4 confidence assessment: 2
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12:37:34 ** 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 --> My teachers throughtout highschool always stressed how college professors did not like using FOIL so, I tried not to and I did the only way it seemed correct but if I would have done this problem using FOIL I could have came out witht he correct answer
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12:39:10 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 --> In this case you need to do each set of paranthesis so you get the answer of 7/7 which gives you one, when a set of paranthesis is given you must complete that step first confidence assessment: 3
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12:39:31 ** 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 --> self critique assessment: 3
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12:40:31 Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> I was surprised that there is so many different ways to get a result and each remain correct. confidence assessment: 3
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