Ma Thematic Properties

Mathematic Properties

• Properties are different ways that explain how math works…sort of

• They explain things through addition and multiplication.

• Commutative Property: • In multiplication or addition problems, you can move the numbers around, and end up with the same answer.

34 + 55 = 89 To “Commute” means to MOVE! I “commute” from Franklin everyday.

• Commutative Property for Multiplication

5 x 6 = 30 Remember: Commute means to “move around” !

• Associative Property this explains that even if you group numbers together when adding or multiplying, the outcome is the same.

( 4 + 7 ) + 10

= 21

Right 7 is grouped, “associating” Now, thenow, 7 is the “associating” with the 10, so you add them first. sowith you the add4,them first.

But its all the same because of the wonderful “associative property”

• …And for multiplication

(3·5)4=60 3(5•4)=60

• How are you SURE a “5” is really a “5”?

Use the “Identity Property of Addition” You add a “0” to it, then you know it really is a “5”.

5+0=5

Yes, this one seems pointless and stupid, but it’s on the test, so, whatever…

• Identity Property of Multiplication SO you’re still not convinced that “5” is telling the truth… To be absolutely sure, you can test it by multiplying it by “1”.

5• 1 =5

Ok, his identity is correct.

• Distributive Property …just watch.

4(5+6)= 4(5+6)= 4 (11) = 44 4(5) + 4(6) = 20+ 24 = 44 Or you can DISTRIBUTE the 4

• The Distributive Property is useful with Algebra.

6(a+4)=54 6a + 24 = 54 Now solve it! Distribute that 6!!

• Adding Like-Terms: Because of the Distributive Property, you can add numbers that have the same variables. • Check it out!!!

9 ( 5x + 2x ) 45x + 18x 63x

DISTRIBUTE!!! They both have an “x”, So you can add ‘em!!

One more…

6 (5x + 2y) 30x + 12y

Distribute!! Different letters!! CAN’T ADD THEM

SO YOU’RE FINISHED!!!