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12 Cards in this Set

  • Front
  • Back
additive inverse
for any number (a), the sum of a and 0 is a.
multiplicative identity
for any number (a), the product of a and 1 is a.
multiplicative property of zero
for any number (a), the product of a and 0 is 0.
multiplicative inverse (reciprocals)
for any number (a/b), where a=0 and b=0, there is exactly one number (b/a) such that the product of a/b and b/a is 1.
what is zero's reciprocal?
zero has no reciprocal because any number times zero is zero.
reflexive property
any quantity is equal to itself.
symmetric property
if one equals a secound quantity, then the second quantity equals the first.
if a=b then b=a
transitive property
if one quantity equals a second quantity and the second equals the third, then the first equals the third.
if a=b, and b=c, then a=c
subsituation property
a quantity may be substituated for its equal in any expression.
if a=b, then a may be replaced by b in any expression
distributive property
for any numbers (a,b,c)
a(b+c)= ab+ac
a(b-c)= ab-ac
commutative property
the order in which you add or multiply numbers doesnt change the sum or product.
associative property
the way you group 3 or more numbers when adding or multiplying doesnt change the sum or product.