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Today Is A Going to be A Great Day!!

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.

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Today Is A Going to be A Great Day!!

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  1. 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.

  2. Today we are going to review the different types of properties

  3. 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

  4. 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

  5. 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.

  6. 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

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

  8. 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

  9. 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.

  10. Why is this important • It will be on the SOL • Because it will help you to do math mentally.

  11. 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.,

  12. 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

  13. 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

  14. Is an example of which property • A. The Associative property • B. The Commutative property • C. The Distributive property • D. None of the Above

  15. (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

  16. 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

  17. 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

  18. 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

  19. Exit ReviewPut all notes away • Give an example of each of the following properties: • Associative, Commutative, distributive, and the Zero Property.

  20. Practice Name the following Property • 4+3=3+4 • 3(2+5)= (3x2)+(3x5) • 5x0=0 • 5x1=5 • 6+0=6 • 3x4x5=3x5x4

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

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