Page 7 - 091math-wb-w6-(equations&inequalities-1)

Workbook

Identity Element:

Property In Symbols/Examples Comments/Notes

Identity element of addition a 0 0 a a    0 is the additive identity

Ex:

Identity Element of a 1 1 a a    1 is the multiplicative identity
multiplication
Ex:

Inverse Element:

Property In Symbols/Examples Comments/Notes

a
Additive inverse a     a    a 0 Each element of has an inverse
with respect to addition
Ex:

Multiplicative inverse 1 1 All elements of except 0 has
a   a 1
a a an inverse with respect to
multiplication
Ex:

Absorbing Element of Multiplication

Property In Symbols/Examples Comments/Notes

Absorbing(Null) Element a 0 0 a 0    0 is the absorbing element of
multiplication
Ex:

Distributive Property of Multiplication over Addition

Property In Symbols/Examples Comments/Notes

Distributive property of a (b c) a b a c    The factor outside the
multiplication over addition and parentheses is multiplied by
Subtraction Ex: each term

7 091math-wb-w6-(equations&inequalities-1)