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06:44:45 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 10.3 rational numbers 1/2 irrational numbers -sqrt(2), pi + sqrt(2) real numbers 1/2, -sqrt(2), pi + sqrt(2)
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06:46:23 ** 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.. **......!!!!!!!!...................................
RESPONSE --> I second-guessed myself on the counting numbers. I initially thought that the answer was ""none"", but decided that was probably incorrect. I understand counting numbers. 1 2 3 4 5 6...
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06:47:23 query 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 --> 2x=(4)(6)
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07:19:51 **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. **......!!!!!!!!...................................
RESPONSE --> Well, for some reason, I did not get the question, only how to solve the equation. Here's what I have from my notes:
2-5*4-[6*(3-4)] = 2-5*4-[6*(-1)] = 2-5*4-[-6] = 2-20-[-6] = 2-20+6 = -18 + 6 = -12.................................................
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07:22:53 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-4)(x-2)= x(x-2)-4(x-2)= (x 2power -2x)(-4x+8)=
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07:24:52 ** 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. *......!!!!!!!!...................................
RESPONSE --> I understand.
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14:19:20
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RESPONSE --> I did not have an answer for # 86.
I understand now b/c 7/7 = 1 However, 4/2 + 3/5 is a completely different equation and would not give the same answer..................................................
ҳnޖHYw assignment #001 WNZ甡̇ College Algebra 01-23-2006
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14:20:47 query 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 --> I just completed problem 86, I am going to skip ahead of the problems that I have already completed.
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14:20:54 ** 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 --> I just completed problem 86, I am going to skip ahead of the problems that I have already completed.
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14:21:26 ** 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 **......!!!!!!!!...................................
RESPONSE --> I just completed problem 86, I am going to skip ahead of the problems that I have already completed.
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14:22:09 Query Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> I didn't realize problem 86 was the last one for this query. I am ready to move on to the next assignment.
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