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9 Cards in this Set

  • Front
  • Back

Additive Property

For any number a, the sum of a and 0 is a.


Ex. 2+0=2

Additive Inverse

A number and its opposite are additive inverses of each other.


Ex. 3 + (-3) = 0

Multiplicative Identity

For any number a, the product of a and 1 is a.


Ex. 14 • 1 + 14

Multiplicative Property of


Zero

For any number a, the product of a and 0 is 0.


Ex. 9 • 0 = 0

Multiplicative Inverse

For every number a/b, where a, b ≠ 0, there is exactly one number b/a such that the product of a/b and b/a is 1.


Ex. 4/5 • 5/4 = 1

Substitution

A quantity may be substituted for its equal in any expression.


Ex. If n = 11, then 4n = 4 • 11

Reflexive Property

Any quantity is equal to itself.


Ex. 4 + 7 = 4 + 7

Symmetric Property

If one quantity equals a second quantity, then the second quantity equals the first.


Ex. If 8 = 2 + 6 then 2 + 6 = 8

Transitive Property

If one quantity equals a second quantity and the second quantity equals a third quantity, then the first equals the third quantity.


Ex. If 6 + 9 = 3 + 12 and 3 + 12 = 15 then 6 + 9 = 15