assign1

course MTH 158

assignment #001001. `Query 1

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College Algebra

09-10-2006

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17:01:45

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 -->

a.none

b.1/2

c.none

d.-sqrt2, pi = sqrt2

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17:02:18

** 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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17:03:18

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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2*x=4*6

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17:03:29

** 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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17:05:17

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 -->

2-20-6*-1

2-20+6

-12

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17:05:27

**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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17:07:37

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*x+x*-4-2*x-2(-4)

xsqr-2x+8

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17:08:07

** 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 -->

did math wrong

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17:09:29

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 -->

common denominater

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17:11:35

** 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

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 -->

i have no idea wehre this came 2+3/5=2 3/5????

(4/2) is 2 and (3/5) is just 3/5. So

(4/2) + (3/5) =
2 + 3/5,

which is expressed as a mixed number in the form 2 3/5.

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17:11:50

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

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only the last problem

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17:11:54

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17:11:55

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??`?? ?? ? ????

assign1

(4/2) is 2 and (3/5) is just 3/5. So (4/2) + (3/5) = 2 + 3/5, which is expressed as a mixed number in the form 2 3/5.

Good work. See my note on that last one and let me know if it doesn't clarify the notation. Let me know if you have questions.

(4/2) is 2 and (3/5) is just 3/5. So

(4/2) + (3/5) =
2 + 3/5,

which is expressed as a mixed number in the form 2 3/5.

Good work. See my note on that last one and let me know if it doesn't clarify the notation.

Let me know if you have questions.