 Grades will be posted this evening at the v6math site.
Class time will not be spent answering grade questions.
 After y...
Number Properties
Properties
Properties are the rules of the
game.
If these rules are changed, the
way we solve problems would
be totally di...
Commutative Property
Commutative Property of
Addition.
a+b=b+a
7+8=8+7
(-3)+ 4 = 4 + (-3)
The commutative property of
addi...
Commutative Property
Commutative Property of
Multiplication
a•b=b•a
7•8=8•7
(-3)•4•5= 4 • 5 •(-3)
The commutative property...
Associative Properties
Associative Property
Associative Property of Addition
(a + b) + c = a + (b + c)
(7 + 8) + 2 = 7+(8 + 2)
15 + 2 = 7 + 10...
Associative Property
Associative Property of
Multiplication.
 (a x b) x c = a x (b x c)
 (7 x 8) x 2 = 8 x (7 x 2)
 56 ...
Identity Properties
Identity Properties
An identity for a particular
operation doesn’t change the
identity of the number when
the operation is...
Identity Properties
Multiplicative Identity

Multiplicative Identity is…
1
One times a number is that
number.
Inverse Properties
Inverse Properties
Additive Inverse - Opposite
Another number that added to the
original number is equal to the
additive i...
Identify the Properties
Multiplicative Inverse:
The Reciprocal
Another number that when
multiplied by the original number
...
Original
Number

1/5

-1
-6/11
45

0
-8

Additive Inverse

Multiplicative
Inverse

Opposite &
Reciprocal
• Distributive property
– a(b + c) = ab + ac
– 3(5 + 7) 15 + 21 = 36
– example
– Multiplying a sum by
some number is the s...
November 12, 2013
November 12, 2013
November 12, 2013
November 12, 2013
November 12, 2013
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November 12, 2013

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November 12, 2013

  1. 1.  Grades will be posted this evening at the v6math site. Class time will not be spent answering grade questions.  After you get your report card, if you have questions or think there may be an error, I will discuss that with you outside of class time.  Grades are earned (good & bad), not given. Your grade is a reflection of your effort and desire everyday, not just test days. Grades are not a reflection of your intellect or ability. (Lose the excuse)  Notebooks graded on: Organization, Completeness, and Neatness.  Stop worrying about your grade; learn the material and take care of your business (be responsible), your grade will take care of itself.
  2. 2. Number Properties
  3. 3. Properties Properties are the rules of the game. If these rules are changed, the way we solve problems would be totally different and make no sense.
  4. 4. Commutative Property Commutative Property of Addition. a+b=b+a 7+8=8+7 (-3)+ 4 = 4 + (-3) The commutative property of addition says what? Order doesn’t matter.
  5. 5. Commutative Property Commutative Property of Multiplication a•b=b•a 7•8=8•7 (-3)•4•5= 4 • 5 •(-3) The commutative property of multiplication says what? Order doesn’t matter.
  6. 6. Associative Properties
  7. 7. Associative Property Associative Property of Addition (a + b) + c = a + (b + c) (7 + 8) + 2 = 7+(8 + 2) 15 + 2 = 7 + 10 The associative property of addition says what?  That Grouping doesn’t matter
  8. 8. Associative Property Associative Property of Multiplication.  (a x b) x c = a x (b x c)  (7 x 8) x 2 = 8 x (7 x 2)  56 x 2 = 8 x 14 The associative property of Multiplication says… That Grouping doesn’t matter.
  9. 9. Identity Properties
  10. 10. Identity Properties An identity for a particular operation doesn’t change the identity of the number when the operation is done. a + 0= a 7 + 0 =7 The Additive Identity is… 0 Zero plus a number is that number.
  11. 11. Identity Properties Multiplicative Identity Multiplicative Identity is… 1 One times a number is that number.
  12. 12. Inverse Properties
  13. 13. Inverse Properties Additive Inverse - Opposite Another number that added to the original number is equal to the additive identity, which is…. 0 -3 + 3 5 + (-5)
  14. 14. Identify the Properties Multiplicative Inverse: The Reciprocal Another number that when multiplied by the original number is equal to the Multiplicative Identity, which is 1 ½ •2 = 1 3 •?? = 1 -1/4 •?? = 1 If xy = 1, then x = ?
  15. 15. Original Number 1/5 -1 -6/11 45 0 -8 Additive Inverse Multiplicative Inverse Opposite & Reciprocal
  16. 16. • Distributive property – a(b + c) = ab + ac – 3(5 + 7) 15 + 21 = 36 – example – Multiplying a sum by some number is the same as multiplying each term by that same number.
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