Set: Property List for Algebra Honors 8
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All 27 Terms
| | Term | Definition |
|---|---|---|
| |
axiom of closure | If (ab) is real, then a+b is real. ( if 3+4=7 s real, 3(4)=12 is real) |
| |
commutative of addition | To change the order of an equation that uses addition or subtraction. (3+4=4+3) |
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commutative of multiplication | Changes the order of an eqation that uses multiplication and or division. [(3)4=(4)3] |
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associative of addition | in an equation using additon and subtraction, the order will remain the same but parenthesis groupings will change. [(1+2)+3=1=(2+3)] |
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associative of multiplication | in an equation using multiplication and division, the order will remain the same but parenthesis groupings will change. [2(3)4=(2)3(4)] |
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reflexive | Looks exactily the same on both sides. (a=a) |
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symmetric | You can flip both sides of an equal side to still have a true eqation. (3=a, then a=3) |
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transitive | Usually used at the end of a proof. To sum up. (if a=b, and b=c, then a=c) |
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distributive | To multiply a value through parenthesis. Only works if only additon and subtraction are in the parenthesis. [a(b+c)=ab+ac |
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substitution | To replace a value or actually complete the given operations. ( if a=3, and a=b, then 3=b) |
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cancellation | To multiply a negative by a negative. [-(-a)=a] |
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identity of addition | To add zero. (a+0=a) |
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additive inverse | Adding the opposite the equal zero, and used to praove an opposite. (a+-a=0, a-a=0, and used to prove that if a is real, negative a is real) |
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opposites of a sum | Like the distributive property, but used when only distributing a negative through. [-(a+3)=-a-3] |
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definition of subtraction | Just like switch-switch! [a+(-b)=a-b] Just Asking; doesn't switch switch go along with yellow-yellow? |
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identity of multiplication | To multiply by 1. [a(1)=a] |
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multiplicative property of zero | To multiply by zero. [a(0)=0] |
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multiplicative property of negative one | To multiply by negative one. [-1(a)=-a] |
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opposites in products | The rules of multiplying by integers. [-a(b)=-ab, a(b)=ab, and -a(-b)=ab] |
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multiplicative inverse | To multiply by the reciprocal, and used to prove recirocals are real. [a(1/a)=1, and to prove that if a is real, then 1/a is real) |
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reciprocal of a product | Seperating one fraction into two. [1/ab=1/a(1/b)] |
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definition of division | Rules for dividing fractions. [3/4=(3/4)/1=3(1/4)=3/4] |
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addition property of equality | Adding the same quantity to both sides of an equation. (If a=b, then a+c=b+c) |
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subtraction property of equality | Subtracting the same quantity to both sides of an equation. (If a=b, then a-c=b-c) |
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division property of equality | Dividing the same quantity to both sides of an equation. (If a=b, then a/c=b/c) |
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multiplication property of equality | Multiplying the same quantity to both sides of an equation. (If a=b, then ac=bc) |
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hypothesis | To prove that any variable is real. (a, b, and c are real numbers.) |
Set Information
Description
Property List! AKA, "Yellow, Yellow." (Nir wanted me to put that, that's what he calls it. It's REALLY funny!)
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Discuss
Magee : If there are ANY errors, please pm me, or chat here! its better to pm me.
Magee : Start Time:10:12pm........................ .Finish Time: 10
Magee : 10:54pm
Magee : 54-12=42mins total. thats pretty good... its a lot of informations
Magee : infromation
Magee : whatever...its late and I can't spell at all... let alone type
Magee : 11:06pm! dontcha love saturdays? 
whos : hello
dont_ask72 : hi
dont_ask72 : "communitive" sp error...."commutative"
Magee : commutative changed, its fixed now
whos : hello
dont_ask72 : yellow-yellow....ok then
Magee : lol; ask Nir or tell Mrs griffen is u have her that somebody calls it yellow yellow in first period, right? nad she will luagh probably and say yes. do you know him? and you can say yes; isn't it Nir?
Magee : *if u have her*
dont_ask72 : yes, but what does yellow-yellow have to do with def. of subtraction? yeah i have mrs. griffen third period...why yellow-yellow?
Magee : nothing....but definition of subtraction is what mrs griffen calls "switch-switch"
Last Message: 3 months ago
Most Missed Words
- reciprocal of a product → Seperating one fraction into two. [1/ab=1/a(1/b)] - 8 misses
- definition of subtraction → Just like switch-switch! [a+(-b)=a-b] Just Asking; doesn't switch switch go along with yellow-yellow? - 7 misses
- opposites in products → The rules of multiplying by integers. [-a(b)=-ab, a(b)=ab, and -a(-b)=ab] - 7 misses
- definition of division → Rules for dividing fractions. [3/4=(3/4)/1=3(1/4)=3/4] - 5 misses
- commutative of multiplication → Changes the order of an eqation that uses multiplication and or division. [(3)4=(4)3] - 4 misses
- cancellation → To multiply a negative by a negative. [-(-a)=a] - 4 misses
- multiplicative property of negative one → To multiply by negative one. [-1(a)=-a] - 4 misses