Order of operation:
1. simplify all numbers within the (), { }, [].
2. work the enclosed numbers within the (), etc., the innermost then work outward.
3. work separetly above and below any fraction bars
simplyfy any exponets and roots.
4. do any mutipication and devision working from left to right.
5. do any addition and subtraction.
evaluate:
3x-3
________ x=-2
x+5
3.-2 / -2+5 -6/3= -3.
That ia all for now.
soon to have a bachelor's degree.
x+5
______
Tuesday, January 5, 2010
Monday, January 4, 2010
intermediate algebra ch 6.
Ch. 6 page: 377
Rational expressions:
is the ratio of two integers with a demonator not 0.
a rational number is reduced to lowest terms by dividing the numerator and
demoninator by the gcf.
for example:
3/4 -9/-6, -7/1, and 0/2 are rational numbers.
an example of a rational expression:
x2 - 1
_______
x + 8, 3/7, 9x, 3a2+ 5a-3
___________________
a-9
Rational expressions:
is the ratio of two integers with a demonator not 0.
a rational number is reduced to lowest terms by dividing the numerator and
demoninator by the gcf.
for example:
3/4 -9/-6, -7/1, and 0/2 are rational numbers.
an example of a rational expression:
x2 - 1
_______
x + 8, 3/7, 9x, 3a2+ 5a-3
___________________
a-9
Sunday, January 3, 2010
math 115 least common mutiple and more as a review
The difintion of the least common multiple:
is the smallest natural number that is a multiple of the 2 groups.
The lcm of 240 and 450.
10 is a mutiple of both numbers
5 is a mutiple
2 is a mutiple.
2 is the lcm of 240 and 450.
perform the operation:
(-18+6)-(10+20)/14-8
use the order of operations method:
2 neg. = a +
work inside the () first then mutiply or divide.
18-6=12- 30/14-8
the 18 had the bigger number; the sign goes with the larger number.
-12-30= two negatives= a + sign. = a -42. 30+12=-42.
14-18=4
42/4=21/2 as a fraction is the lowest terms.
that is all for now.
Marie Zajac
soon to have a bachelor's degree in psychology.
is the smallest natural number that is a multiple of the 2 groups.
The lcm of 240 and 450.
10 is a mutiple of both numbers
5 is a mutiple
2 is a mutiple.
2 is the lcm of 240 and 450.
perform the operation:
(-18+6)-(10+20)/14-8
use the order of operations method:
2 neg. = a +
work inside the () first then mutiply or divide.
18-6=12- 30/14-8
the 18 had the bigger number; the sign goes with the larger number.
-12-30= two negatives= a + sign. = a -42. 30+12=-42.
14-18=4
42/4=21/2 as a fraction is the lowest terms.
that is all for now.
Marie Zajac
soon to have a bachelor's degree in psychology.
Thursday, December 24, 2009
Math 115 ch. 1,2,5,6, review
prime factorizations: is a product of primes:
Find the prime factorization of 504:
2 divided by 504 = 252
2 divided by 252 = 126
2 divided by 126 = 63
3 divided by 63 = 21
3 divided by 21 = 7
The prime factorization is: 2 to the 3rd exponet
3 to the 2 exponet . 7
Find the prime factorization of 144;
2 divided by 144 = 72
2 divided by 72 = 36
2 divided by 36 = 18
2 divided by 18 = 9
3 divided by 9 = 3
Prime factorization of 144 = 2 to the 4th exponet, 3 . 3 ?
Find the prime factorization of 504:
2 divided by 504 = 252
2 divided by 252 = 126
2 divided by 126 = 63
3 divided by 63 = 21
3 divided by 21 = 7
The prime factorization is: 2 to the 3rd exponet
3 to the 2 exponet . 7
Find the prime factorization of 144;
2 divided by 144 = 72
2 divided by 72 = 36
2 divided by 36 = 18
2 divided by 18 = 9
3 divided by 9 = 3
Prime factorization of 144 = 2 to the 4th exponet, 3 . 3 ?
Saturday, December 19, 2009
Mathematical Concepts 115 ch. 1,and 2
Subsets;
Subset formula: 2 to the nth power.
Proper subset formuls: 2 to the n power - 1.
Find the subsets and the proper subsets of the following:
43. 1,5, and 10.
subset: 2.2.2 to the nth power.= 8
proper subset is 8-1=7
45. a,b,c,d,e,f,
subset= 2.2.2.2.2.2= 64
proper subset= 64-1= 63
2. For the 3 sets A,B,C,
A=64
B=186
U= all of the elements of all numbers involved.
AUB=218
A intersect B is 32
186+64= 250
250-218= 32
3. Find the greatest common factor of the 2 intergers 240 and 450.
Finding The greatest common factor steps:
1. Write the numbers in a row.
2. Divide each number by a common prime factor. Try 2, try 3 and so on.
3. Divide the quotients by a common prime factor. Continue until no prime numbers will divide into all of the quotients.
4. The product of the primes in steps 2 and 3 is the greatest common factor.
240 divisible by 450= 30
240 divided by 450= a remainder of 210
210 divided by 240= 30 as the remainder
30 divided by 210= a remainder of 0.
The GFC of 240 and 450 is 30.
4. Perform the operation and give the answer as a fraction in lowest terms. 1/8-1/4=
1.2=2
8.2=16
1.4=4
4.4=16
16 is the least common denominator
2/16-4/16=2/16.
5. A=1,2,3,4,
B=2,5,1,4
find A intersect with B= 1,2,4.
intersct means numbers in common.
I will continue at a later time.
A psychology bachelor's degree in the future.
Subset formula: 2 to the nth power.
Proper subset formuls: 2 to the n power - 1.
Find the subsets and the proper subsets of the following:
43. 1,5, and 10.
subset: 2.2.2 to the nth power.= 8
proper subset is 8-1=7
45. a,b,c,d,e,f,
subset= 2.2.2.2.2.2= 64
proper subset= 64-1= 63
2. For the 3 sets A,B,C,
A=64
B=186
U= all of the elements of all numbers involved.
AUB=218
A intersect B is 32
186+64= 250
250-218= 32
3. Find the greatest common factor of the 2 intergers 240 and 450.
Finding The greatest common factor steps:
1. Write the numbers in a row.
2. Divide each number by a common prime factor. Try 2, try 3 and so on.
3. Divide the quotients by a common prime factor. Continue until no prime numbers will divide into all of the quotients.
4. The product of the primes in steps 2 and 3 is the greatest common factor.
240 divisible by 450= 30
240 divided by 450= a remainder of 210
210 divided by 240= 30 as the remainder
30 divided by 210= a remainder of 0.
The GFC of 240 and 450 is 30.
4. Perform the operation and give the answer as a fraction in lowest terms. 1/8-1/4=
1.2=2
8.2=16
1.4=4
4.4=16
16 is the least common denominator
2/16-4/16=2/16.
5. A=1,2,3,4,
B=2,5,1,4
find A intersect with B= 1,2,4.
intersct means numbers in common.
I will continue at a later time.
A psychology bachelor's degree in the future.
Friday, April 10, 2009
practicum hours a continuation since 3/2/09
This journal entry is a continuation of keeping track of my current practicum hours. March the 2nd, I had accummulated 88 hours of practicum completed. My practicum hours continue into the month of march and April. The continuation of my practicum hours are as follows:
3/4/09
3/5/09
3/6/09
3/9/09
3/10/09
3/11/09
3/12/09
3/14/09
3/15/09
3/16/09
3/17/09
3/19/09
3/20/09
3/23/09
3/24/09
3/25/09
3/26/09
3/28/09
3/29/09
3/30/09.
22 days multiply by 4 hours a day,= 176 hours.
I have currently completed my 150 practicum hours.
I have alreay an evalation from my supervisor following my 75 hours, now; I need to get an additional evaluation from my supervisor after the completion of 150 hours.
Marie Zajac
3/4/09
3/5/09
3/6/09
3/9/09
3/10/09
3/11/09
3/12/09
3/14/09
3/15/09
3/16/09
3/17/09
3/19/09
3/20/09
3/23/09
3/24/09
3/25/09
3/26/09
3/28/09
3/29/09
3/30/09.
22 days multiply by 4 hours a day,= 176 hours.
I have currently completed my 150 practicum hours.
I have alreay an evalation from my supervisor following my 75 hours, now; I need to get an additional evaluation from my supervisor after the completion of 150 hours.
Marie Zajac
Thursday, April 9, 2009
practicum class: journal entry.
I am continuing on my journey with my practicum hours at CenterPointe Hospital.
I am finding out that no two days are exactly the same. Some days are very smooth. While other days has its chalenges and rewarding moments.
Today was a rewarding day to me. Right now we have some preteens who are hospitalized for having suicidal thoughts. The preteens are easier to talk to than the young children. The young children are very impulsive, and active. their attention span is short. Today I worked with the preteens. I felt as is we were able to have some productive discussions on life. I felt as if the preteens really were listening to the discussions. At later times throughout the day; the individuals were able to tell me some very valuable information to them. A couple of people said that they don't want to have thoughts of harming themselves any more. We put in a safety plan for them as well. Due to confidentiality I can't give out very much information abaout what was discussed in the group setting. I was very plesed with the outcome of today.
Marie Zajac
I am finding out that no two days are exactly the same. Some days are very smooth. While other days has its chalenges and rewarding moments.
Today was a rewarding day to me. Right now we have some preteens who are hospitalized for having suicidal thoughts. The preteens are easier to talk to than the young children. The young children are very impulsive, and active. their attention span is short. Today I worked with the preteens. I felt as is we were able to have some productive discussions on life. I felt as if the preteens really were listening to the discussions. At later times throughout the day; the individuals were able to tell me some very valuable information to them. A couple of people said that they don't want to have thoughts of harming themselves any more. We put in a safety plan for them as well. Due to confidentiality I can't give out very much information abaout what was discussed in the group setting. I was very plesed with the outcome of today.
Marie Zajac
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