Term
The Commutative Law of addition
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Definition
∀ a,b ∈ R a+b = b+a
Changing the order when adding does not
affect the answer
[image] |
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Term
| The Commutative Law of multiplication |
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Definition
∀ a,b ∈ R a x b=b x a or ab = ba
Changing the order when multiplying does
not affect the answer
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Term
The Associative Law of Addition
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Definition
∀ a,b,c ∈ R (a+b)+c = a+(b+c) =a+b+c
Changing the grouping when adding does not affect the answer
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Term
The Associative Law Of Multiplication
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Definition
∀ abc ∈ R (ab)c=a(bc)=abc
Changing the grouping when multiplying does not affect the answer
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Term
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The Distributive Law of Multiplication over Addition |
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Definition
∀ abc ∈ R a(b+c)= ab+ac
ex1) -3(6-4x)
-3(6)+-3(-4x)
-18 +12x
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Term
The Additive Identity Law
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Definition
∀ a ∈ R a + 0 =a
ex. 1) 3+0 =3 |
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Term
The Multiplicative Identity Law
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Definition
∀ a ∈ R 1a=a
ex1)(2x-3/2x-3)(3x-5)=1(3x-5)=3x-5 |
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Term
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Definition
∀ a ∈ R a +(-a)=0 a-a=0
ex1)16+(-16)=0 ex2)3x-y+y-3x=0
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Term
The Multiplicative Inverse Law
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Definition
∀ a ∈ R a(1/a)=1 a/1(1/a)=1 a/a=1
ex1) 3/2(2/3)=1 ex2) -3(-1/3)=1[image] |
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