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Today Is A Going to be A Great Day!!

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- 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.

- 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

- 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

- 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.

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

- 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

- 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.

- It will be on the SOL
- Because it will help you to do math mentally.

- 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.,

- A. The Associative property
- B. The Commutative property
- C. The Distributive property
- D. None of the Above

- 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

- A. The Associative property
- B. The Commutative property
- C. The Distributive property
- D. None of the Above

- 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

- 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

- 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

- Give an example of each of the following properties:
- Associative, Commutative, distributive, and the Zero Property.

Name the following Property

- 4+3=3+4
- 3(2+5)= (3x2)+(3x5)
- 5x0=0
- 5x1=5
- 6+0=6
- 3x4x5=3x5x4