suppa ppl~
aghhhhhhh i hav math test tomorrow....... i am studing ...lol
1. The additive inverse, or the opposite, of the real number a is denoted by ¨Ca. The positive number of any pair of opposite nonzero real number is called the absolute value of each number in the pair. The absolute value of the real number is denoted by |a|.
2. The multiplicative inverse of the real number a is denoted by 1/a.
3. Axioms, or postulates, are statements about the real number that are assumed to be true. The following axioms are assumed to be true for all real values of each variable except as noted.
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Axioms of equality |
Reflexive axioms: a=a
Symmetric axioms: If a=b, then b=a
Transitive axioms: If a=b and b=c, then a=c |
|
|
ADDITION |
MULTIPLICATION |
|
Axioms of closure |
a+b is a unique real number. |
Ab is a unique real number. |
|
Commutative axioms |
a+b=b+a
|
ab =ba
|
|
Associative axioms |
(a+b)+c=a+(b+c) |
(ab)c=a(bc) |
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Identity axioms |
a+0=a and 0+a=a |
(a)(1)=a and (1)(a)=a |
|
Axioms of inverses |
(a)+(-a)=0 and ¨Ca+a=0 |
(a)(1/a)=1 and (1/a)(a)=1, if a¡Ù£°
|
|
Distribute axioms |
(a)(b+c)=ab+ac and (b+c)ba=ba+ca |
4. Theorems are statements about the real numbers that can be proved to be true. The hypothesis of a theorem states what is assumed to be true, and the conclusion states something that follows logically from this assumption. By reasoning from the hypothesis to the conclusion, you can give a direct proof of a theorems that can be proved to be true for all real values of variable expect as noted.
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Can collation property of opposites |
-(-a)=a |
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Property of opposite of a sum |
-(a+b)=-a+(-b) |
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Multiplicative property of zero |
(a)(0)=0 and (0)(a)=0 |
|
Property of opposites in products |
-a(b)=-ab; a(-b)=-ab; -a(-b)=ab |
|
Property of the reciprocal of a product |
1/ab=(1/a)(1/b), if a¡Ù0, b¡Ù0 |
5. A number line can be used to find the sum of two real numbers.
6. Subtraction and divisions are defined as follows:
a-b=a+(-b) (a)(1/b)=a/b; if b¡Ù0
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hahahah..
so yesterday was so saiaku...
no soccer... i was sleeping up to 10 o clock .... and hayato and rob. called me if i can play...hell no!
they called me again ..n i finally sed yea.......
i met them at gyukaku....and did lots of things.......watched v ball game...it was fun though...
here is a famous chant by CAJ A&B team.."dommai, dododomai .....fu~fu~" i am like saying it all the time.....lol...then i was so quiet for 1 h becuz of some guy frm CAJ called KiNJING or watever...lolol/..
here is the WELCOME TO INDIA LYRICS
Yaa, MC Vikram and Luda Krishna representing y'all,
That's right ... increase the volume please ... thank you.
Welcome to India, mango juices and lassis, samosa crazy desis
and little kids that are milking the bhainses.
Toothbrush in my pocket, what is that?
We use our fingers here to keep our teeth so clear, who said that?
Luda Krishna here, Vikram pulling the Tata gears,
and I am sitting in the Maruti Supreme
with the cooling glass on no one bothers me,
biggest stars since the ever famous Mamooty.
Come with me to a place where we sip Frooties,
and we eat the sweets while monkeys roam the streets.
Old uncle sits - big bellies and burps smelly (burp!)
Thank you Vikram, would you please pass the jelly,
I mean the pickle, hand it down this way ... Namaste
we greet the people as they enter the train!
Sixty-five people hanging out, the doors start coming out.
Therefore, please don't raise your hand, you are not sure.
I walked into the local corner-store,
bought myself a very nice looking carroms board.
My fingers get sore when I shoot and I score,
and the ladkis all scream coz they all want some more,
of the Luda Krishna and the Vikram MC,
Sweetest thing to hit the States since mango chutney.
We keep the kundis shaking, you better trust me.
The name is Luda Krishna, but my friends call me Thambi, watch!! (burp!)
Ohhh, Vikram, is that you my friend?!
That is me my friend!
Oh, please enter this rap game!
Ok man! C'mon ... tell me where you're going my friend.
Welcome to India where the cows eat hay,
and we drive auto-rickshaws everyday,
Goat meats, yummy sweets, wild monkeys roaming,
The roosters don't crow till five in the morning! (2x)
Now the kundis don't jiggle till I'm rapping,
So please don't pass the gas when you're laughing.
Up the music charts like mango trees I climb,
With a smooth voice like mine, is it a crime?
Representing FOB-iness since ninety-seven
Rap maharaja, I don't work at 7-Eleven.
Throw your hands in the air if you've got facial hair,
Not just for the guys, c'mon ladies be fair!
I'm the MFP - Most FOB-ious Player,
Wearing hot lungis, do you think I really care?
Monday night - computer club
Tuesday night - at Akbaar grocery saying "Sweet thang, what is up?"
Wednesday - I'm out making rupees
Thurday - On lookout for Bharatnatyam queen
Friday - Everybody must know where I'm at, coz I'm chilling on the field with my big cricket bat.
Saturday - my farts are breezy ... believe me, so strong they will get you mad dizzy,
Sunday - Yaar, I cannot start weeping because on Monday I will start the creeping ... Hallo!
Ohhhh ... I love that my friend!
Yaa dawg, that was a funda-stic. Hey thank you, you're fabulous!
Oh, thank you my friend! Oh ...
Welcome to India where the cows eat hay,
and we drive auto-rickshaws everyday,
Goat meats, yummy sweets, wild monkeys roaming,
The roosters don't crow till five in the morning! (2x)
Oh, oh, go Luda, go Luda.
Ah, it's my birthday!
That is your birthday, man!
Yaaaaah. You go boy!
Oh oh oh ... it's great!
Ah, Indian honor my friend. Good night!
All right, goodbye ... kiss my buttocks!!
well thats it for now...
PEACE
comment.
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ma real madrid's shirt witz ronaldo signature...
the japanese one says" i bought a bike"
thats why koreans became 4th in Fifa world cup
he is the winner cause it stopped...