Chapter 2
alex thinks math is cool
Properties of Real Numbers
| Property |
Words
|
Numbers
|
Algebra
|
| Commutative Property of Addition |
In a sum, you can add the numbers in any order. |
4+(-7)
=
-7+4
|
a+b= b+a |
| Associative Property of Addition |
Changing the grouping of the numbers in a sum does not change the sum. |
(9+6)+2
=
9+(6+2)
|
(a+b)+c
=
a+(b+c)
|
Property
|
Words
|
Numbers
|
Algebra
|
| Commutative Property of Multiplication |
In a product, you can multiply the same numbers in any order. |
8(-5) = -5(8)
|
ab = ba |
| Associative Property of Multiplication |
Changing the grouping of a number in a
product does not change the product.
|
(3x10) x 4
=
3 x (10x4)
|
(ab)c = a(bc) |
Distributive Property:
- distribute a multiplier with different operands
Ex. 4(5+2) = 4(5)+4(2)
Ex 4(x+2) = 4x+8
Rules to Remember:
-No commutative property of subtraction or division
-There is a commutative property of addition and multiplication
-No associative property of subtraction or division
-There is an associative property of multiplication and addition
-Rules for addition and multiplication don't mix operations
example: (2 x 4) + 1 = 2 x (4 + 1) (not a property)
Identity Property of Addition
Zero is the operand that does not change the value of a number when it is added
example: 4 + 0 = 4
Identity Property of Multiplication
One is the operand that does not change the value of a number when it is multiplied
example: 4 * 1 = 4
The Identity Property!! by: Schyler
|
Multipication
*ALWAYS MULTIPLIED BY 1!!!!!
|
5 * 1= 5
|
|
ADDITION
* ALWAYS ADD 0!!!!!
|
5 + 0= 5
|
Comments (1)
Campbell said
at 7:32 pm on Oct 5, 2008
math is cool
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