course Mth 158 ßç¢ññ®òûùµ|ÕiÃýVÂdઢ~NæíÁassignment #001
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14:16:24 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 --> There are no counting numbers. The rational numbers are 1/2 + 10.3. The irrational numbers include sqrt(2) and pi + sqrt(2). The entire set would be considered real numbers.
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14:17:58 query R.1.44 \ 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 .
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14:18:19 ** 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 --> ok
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14:21:34 query R.1.62 \ 50 (was R.1.42) Explain how you evaluate the expression 2 - 5 * 4 - [ 6 * ( 3 - 4) ]
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RESPONSE --> First do parentheses. 2 - 5 * 4 - [6 * -1] 2 - 5 * 4 - (-6) 2 - 5 * 4 + 6 2 - 20 + 6 -18 + 6 = -12
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14:21:52 **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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14:24:39 query R.1.98 \ 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 --> First multiply by x, then by -2. x^2 -4x -2x +8 x^2 -6x +8
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14:25:19 ** 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 --> ok
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14:27:29 query R.1.102 \ 86 (was R.1.78) Explain why (4+3) / (2+5) is not equal to 4/2 + 3/5.
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RESPONSE --> The division line acts as parentheses so you must do your addition for the numerator and denominator before you divide.
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14:29:58 ** 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 --> Does this mean I got it wrong?
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14:39:36 Query Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> I thought this would only be on the homework that was assigned. We were not assigned 98 and 102. Also, the distributive property and FOIL seem to have the same steps to me.
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