NAME
|
HINTS
|
EXAMPLES
|
ETYMOLOGY
|
DEFINITION
|
Additive Identity
|
It stays the same or is balanced
|
9 + 0 =
9
Additive
identity is 0.
|
Latin: Identitatem
sameness;
oneness
|
The sum of any number and zero is the original number; zero preserves
the identity of a number.
|
Multiplicative Identity
|
It stays the same or is balanced
|
9 x 1 =
9
Multiplicative identity is 1.
|
Latin: Identitatem
sameness; oneness
|
The product of any number and one is that number; one preserves the
identity of a number.
|
Additive Inverse
|
You undo or go
backwards/reverse
|
9 + (-9) = 0
Additive Inverse is -n
|
Latin: Invertere
turn upside down; turn
about
|
The additive inverse of a number is to reverse the sign in order to
acquire zero.
|
Associative (Addition or Multiplication)
|
You connect with different “groups”.
|
(5 + 15)
+ 4 = 5 + (15 + 4)
OR
(2 x 3)
x 4 = 2 x (3 x 4)
|
Latin: associare
allied, connected, paired, gathering,
grouping
|
The sum or product are the same regardless the order in which addends
or factors are grouped.
|
Commutative (Addition or
Multiplication)
|
You can organize
or “order” in any way
and get the same answer.
|
5 + 4 + 3 = 4 + 3 + 5
OR
15 x 2 x
1 = 1 x 15 x 2
|
Latin: commutare
to change together,
to order
|
The sum or product are the same regardless the order in which addends
or factors are arranged.
|
Distributive (Addition or
Multiplication)
|
You can deal
out or share some-
thing with friends.
|
5 x (7 + 8) = 5 x 7 + 5 x 8
|
Latin: Distributes
to deal out; apportion; separate; share
|
The operations of multiplica-tion and addition or multipli-cation and
subtraction; multi-plying each term inside the parentheses with the term
outside of the parentheses
|
Multiplicative Inverse
|
You undo or go backwards/reverse
|
8 x '/₈ = 1
Multiplicative
Inverse is '/n
|
Latin: Invertere
turn upside down; turn
about
|
The multiplicative inverse of a number is 1/n or to reverse the sign
in order to acquire one.
|
Homework for over the loooooong weekend is to read over this page from a math book. I have instructed the students to take a look at two examples as to how to use the Distributive Property. Then they are to TRY the three examples under the first example and solve the one problem under the second example.
Have a great weekend and Happy Conferencing!
