Transcript here to view powerpoint on Properties.

Today Is A Going to be
A Great Day!!
SOL 8.1 and 7.3
AbSOLute Success
Objective: To identify the properties and
describe orally and in writing the
relationship between the subsets of the
real number system.
Today we are
going to
review the
different
types of
properties
1. Commutative Property
(order property)
States that any two real numbers may be
added in either order or multiplied in
either order. The results will be the same,
even though the order changes. for
example:
2+3=3+2
5 x 7= 7 x 5
2. Associative property
(grouping Property)
This property states that in addition and
multiplication, three or more real numbers can
be grouped in any order. The results will be the
same, even though the grouping changes.
For example 3 x 5 x -7 can be grouped in two
ways
(3 x 5 ) x -7
or
3 x (5 x -7)
either way you chose they both are equal to -105.
This is Not true for subtraction and division
3. Distributive Property
This property states that a real number
can be multiplied over addition. for
example:
3(5 + 2) = ( 3 x 5) + (3 x 2)
In mathematical language, we say that 3
is distributed over the 5 and the 2.
Identity Property
The sum of zero and any number a is a. This
is known as the Identity Property for Addition.
a + 0 = a or 0 + a = a.
The Identity Property of Multiplication is the
product of 1 and any number a is a.
a • 1 = a or 1 • a = a.
Or just think of what number can you add to
or multiply to another number to get back the
same number. Like for instance what can I
add to 2 to get back 2.
Zero Property
This property states that the
product of zero and any number
is zero.
a • 0 = 0 or 0 • a = 0
The Inverse Property for Multiplication
The product of a number and its
multiplicative inverse is 1.
A number multiplied by its reciprocal
always equals 1.
Examples: 6 and 1/6 are reciprocals.
6 • 1/6 = 1
4/5 and 5/4 are reciprocals.
4/5 • 5/4 = 1
The Additive Inverse Property
Two integers that are opposites of each
other are called additive inverses.
The Additive Inverse Property states that
the sum of any number and its additive
inverse is zero.
a + (-a) = 0
Here’s an example: 18 + (-18) = 0
18 and -18 are opposites.
Why is this important
It will be on the SOL
Because it will help you to do math
mentally.
Review
For the next 10-15 minutes we are going to
do some example problems.
On your desk you will find 4 pieces of
paper.
Label each piece with the letter A, B, C, D.
When I read a Question You will hold up
the letter that you think is the answer.
For instance, Once I read the question if
you think the answer is A then hold up your
paper with the letter A..and so on.,
1. 12 X 4= 4 X 12
is an example of which
A. The Associative property
B. The Commutative property
C. The Distributive property
D. None of the Above
2. 3(4+3) = (3 x 4) + (3 x 3)
is an example of which
Property
A. The Associative property
B. The Commutative property
C. The Distributive property
D. None of the Above
Is an example of which property
A. The Associative property
B. The Commutative property
C. The Distributive property
D. None of the Above
(3 X 5) X 2= 3 x (5 X 2)
is an example of what
property
A. The Associative property
B. The Commutative property
C. The Distributive property
D. None of the Above
Which of the following is an example of
the Associative property.
A (LiL Kim + Nelly)+ b2k = LiL Kim + (Nelly +
B2k)
B. MTV(BET+HBO) = (MTV X BET)+(MTV x
HBO)
C.
D.
+
=
+
NONE OF THE ABOVE
Which of the following is an example
of the commutative property.
A (LiL Kim + Nelly)+ b2k = LiL Kim + (Nelly
+ B2k)
B. MTV(BET+HBO) = (MTV X BET)+(MTV x
HBO)
C.
D.
+
=
+
NONE OF THE ABOVE
Which of the following is an example
of the Distributive property.
A (LiL Kim + Nelly)+ b2k = LiL Kim + (Nelly
+ B2k)
B. MTV(BET+HBO) = (MTV X BET)+(MTV x
HBO)
C.
D.
+
=
+
NONE OF THE ABOVE
Exit Review
Put all notes away
Give an example of each of the following
properties:
Associative, Commutative, distributive,
and the Zero Property.
Practice
Name the following Property
4+3=3+4
3(2+5)= (3x2)+(3x5)
5x0=0
5x1=5
6+0=6
3x4x5=3x5x4
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FMS”. Therefore “Soar
With Respect and
Responsibility”.