Unit 2 Day 1 Notes
Properties of the Real Number System
PROPERTY
What is it?
COMMUTATIVE
Change Order: changing the order of
multiplication or addition problem does
not change the answer.
ASSOCIATIVE
Multiplication and addition problems
can be regrouped with parentheses.
Grouping does not change the answer.
Additive Identity: The number that adds
on to give you the same number you
started with as an answer. Answer is the
same as what you started with.
IDENTITY
(Answer is always the same Multiplicative Identity: The number that
you multiply by to give you the same
as what you started with)
number you started with as an answer.
Answer will always be the same as what
you started with.
Additive Inverse: What you will add on
so the answer is the Identity, always has
INVERSE
opposite sign.
(Answer is always the
Multiplicative Inverse: What you will
multiply by so the answer is the Identity,
Identity)
always the reciprocal.
DISTRIBUTIVE
To remove parentheses by multiplying
the outside number through the
parentheses, or to put parentheses in by
dividing out a GCF.
1
Examples/Information
Does not work with subtraction or division.
Additive Identity is
ALWAYS:
Multiplicative Identity is
ALWAYS: