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35 Cards in this Set

  • Front
  • Back

4 + 8 = 8 + 4

Commutative Property of Addition
2 x 6 = 6 x 2
Commutative Property of Multiplication
(2 + 3) + 6 = 2 + (3 + 6)
Associative Property of Addition
(2 x 7) x 4 = 2 x (7 x 4)
Associative Property of Multiplication
11 + 0 = 11
Identity Property of Addition
9 x 1 = 9
Identity Property of Multiplication
3 + (-3) = 0
Inverse Property of Addition
3 x (1/3) = 1
Inverse Property of Multiplication
8(2 + 3) = 8 x 2 + 8 x 3
Distributive Property
23 x 0 = 0
Multiplication Property of Zero
-1 x 4 = -4
Multiplication Property of -1
e + g = g + e
Commutative Property of Addition
yz = zy
Commutative Property of Multiplication
q + (w + r) = (q + w) + r
Associative Property of Addition
hjk = kjh
Associative Property of Multiplication
c + 0 = c
Identity Property of Addition
1g = g
Identitiy Property of Multiplication
h + (-h) = 0
Inverse Property of Addition
f + (1/f) = 1
Inverse Property of Multiplication
d(t + u) = dt + du
Distributive Property
n * 0 = 0
Multiplication Property of Zero
-z * (-1) = z
Multiplication Property of -1

a = a

Reflexive Property

a=b, then b=a

Symmetric Property

If a=b and b=c, then a=c

Transitive Property

If a=b, then a + c= b +c and c+a=c+b

Addition Property

If a=b, then ac = bc and ca=cb

Multiplication Property

a - b = a + (-b)


subtraction

a(b-c) = ab - ac



and



(b-c)a = ba - ca

distributive property

a x 0 = 0



and



0 x a = 0

multiplication property of zero

a(-1) = -a



and



(-1)a = -a

multiplication property of -1

-ab=(-a)b



and



-ab=a(-b)

property of opposite of a product

-(a + b) = (-a) + (-b)

property of opposite of a sum

The quotient a divided by b is written a/b. For every real number a and nonzero real number b,



a/b = a x 1/b



*to divide by any nonzero number, multiply by its reciprocal. Since 0 has no reciprocal, division by 0 is not defined

definition of division

(a + b)/c = a/c + b/c



and



(a-b) /c = a/c - b/c

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