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 Is A Going to be A Great

Day!!

Today we are going to

review the different types of

properties

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

1. Commutative Property (order 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

2. Associative property (grouping

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.

3. Distributive Property

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. 2 + X = 2 .......... 2 + 0 = 2

This property states that the product of zero and any number is zero.a • 0 = 0 or 0 • a = 0

Zero Property

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 Inverse Property for Multiplication

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.

The Additive Inverse Property

It will be on the SOL

Because it will help you to do math mentally.

Why is this important

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.,

Review

A. The Associative property

B. The Commutative property

C. The Distributive property

D. None of the Above

1. 12 X 4= 4 X 12 is an example of which





2. 3(4+3) = (3 x 4) + (3 x 3)

is an example of which Property





Is an example of which property





(3 X 5) X 2= 3 x (5 X 2)

is an example of what 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 Associative

property.



C. + = +


Which of the following is an example of the commutative

property.



C. + = +


Which of the following is an example of the Distributive

property.

Give an example of each of the following properties:

Associative, Commutative, distributive, and the Zero Property.

Exit ReviewPut all notes away

4+3=3+4

3(2+5)= (3x2)+(3x5)

5x0=0

5x1=5

6+0=6

3x4x5=3x5x4

Practice Name the following Property

Because of you “The Future Is Bright at FMS”. Therefore “Soar With Respect and Responsibility”.

today is a going to be a great day!!

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