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Sunday, November 14, 2010

Mathematical Properties 101

Welcome to TERM 2.  You are now 1/3 of the way through the school year and closer to HS.  So the bar is officially being raised.   You are going to have to work hard this trimester.  GET READY.

Here is COW #12.  Pay careful attention to the new requirements for Knowledge HW.    

There are lots of rules that you follow when you work with numbers.  You know these rules so well that you don't even realize that you use them.  From now until Thanksgiving break, our goal is to make sure you not only know the rules, but you also know their names.  We are going to be applying them to Algebra when we return from break.


Purple Math's Review of Basic Number Properties: Associative, Commutative, and Distributive
WISC Online Review with examples 
Math.com
Khan Academy Videos (Watch the first, then click next to hear about the other properties)
Brush up on your SLOPE skills at Kahn Academy

Addition Property For all real numbers x, y, and z,
if x = y, then x + z = y + z.
These properties allow you to balance and solve equations involving real numbers
Subtraction Property For all real numbers x, y, and z,
if x = y, then xz = y – z.
Multiplication Property For all real numbers x, y, and z,
if x = y, then xz = yz.
Division Property For all real numbers x, y, and z,
if x = y, and z ≠ 0, then x/z = y/z.

The Zero Property of Addition

Adding 0 to a number leaves it unchanged. We call 0 the additive identity.
Example:
88 + 0 = 88

The Zero Property of Multiplication

Multiplying any number by 0 gives 0.
Example:
88 × 0 = 0
0 × 1003 = 0

24 comments:

  1. Dear Ms.Cannon, FROM ANGELIQUE DALE
    Cow 12 Knowledge: I learned that Associative Property is the rule that refers to grouping. for example: if you had a addition equation: 5+(2+4) = (8+5)+6 this would be associative because of the groups. I also learned that Commutative Property is the total opposite from associative. Commutative Property is the one that refers to moving stuff around. for example: if you had a multiplication equation it would look like so 5x3 = 9x6. This would be a commutative property because its all moved around no groups.


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  2. Commutative Properties are basically when the equation is flipped

    Distributive property is when you distribute a multiplication problem

    Identity property is when you ad 0 to a number it will equal the same thing

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  3. i learned:
    Commutative property says that any given multiplication or addition problem will have the same product or sum if the numbers are switched.
    Distributive property says that a(b+c) is the same as ab+ac.

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  4. I learned that.....
    Associative is when you group the number or/and variable
    Distributive is when you change addition in to a multiplication problem
    Communitive is when you move the numbers / varibles aroud to isolate it.
    -Ayana Johnson

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  5. After i read three links i learned that to gind out a missing variable you have to the the opposite opperation to find it out.
    -Tyler

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  6. 1. equation are the equalityof two mathmatical expretions
    2.The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.
    3.The commutative property of addition says that we can add numbers in any order.

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  7. Korey says...

    The distributive property is like this

    Ex. 2(5+6) = (2x5) + (2x6) = 22

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  8. equation:the equality of 2 mathematical expressions
    sam jessup
    11-15-10

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  9. Myles H-p typed...

    The commutative property is the property that moves numbers around. The associative property is the property that groups different numbers.

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  10. I learned that anything + 0 is 0 from the video

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  11. When you're dealing with The Distributive Property multiplication distributes OVER addition.

    -KC Murphy

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  12. I've learned that associative property is when you're regrouping the numbers.

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  13. I learned that the Commutative property of addition is just basically just swiching the order around of numbers that you are adding and the associative property of addition is just a way that shows you it doesn't matter which part of the problem you do first. (a+b)+c= a+(b+c)

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  14. I learned:
    -commutative property is when you move your numbers or variables around.ex: a+b=b+a
    -assosiative property is when you group numbers to multiply and add them.ex:a(b+c)=ab+ac
    -distributive is basicaly all of the properties together $$tay$$ =D

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  15. I learned that the communitive property is basically when the problem is moved around.

    EX: 2*8*w You can restate this in many ways as shown here- 2*w*8, 8*2*w, and w*8*2.
    -Cassie Michelle Stokes

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  16. I know this is true 3(x+y)=3x+3y from the distributive property

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  17. MS,Cannon,
    Today I learned that distributive property either takes something through a parentheses or else factors something out. I also learned that associative property means that you are going to group your problem. Another thing I learned is that Commutative property means to move around and not simplifying.
    -Lillian Tinsley-

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  18. The commutative property of addition says that we can add numbers in any order.

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  19. Lynsey Tiller said....

    i learned that an eqaution is the equality of two mathematical expessions. one way to solve one is to isolate the variable by doing inverse operations

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  20. I learned that the associative property of addition tells us that we can put numbers in a group of numbers in any order

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  21. i learned that product is multiplication and sum is addition

    -Willem Kaiser

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  22. words like"more than" or "sum of" or "greater than" mean add and words like "less than" or "minus" or "difference between" mean subtract
    Sam Jessup

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  23. Ms. Cannon,
    I learned that that the Distributive Property means that you can work the numbers outside the parenthesis to the numbers inside the parenthesis to help solve and equation.
    -Iris Tinsley

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  24. distributive property states that multiplication spreads over numbers inside parenthesis a(b+c) is equal to ab+ac

    ReplyDelete