Download properties of algera

Properties of Algebra
By Varsha Kumar
Commutative Property
The commutative property says that when ever you solve a
problem that has all addition or all multiplication you can switch
the order around and still end up with the same answer. Here is
an multiplication and addition example below:
5 x 30= 30 x 5
2 + 4 + 5 + 30 = 30 + 5 + 4 + 2
Note: most of the time it is much easier
when you switch the order around for
example 289 x 6 is easier than 6 x 289
Associative Property
If there is a problem that includes all addition or all multiplication
with brackets. The brackets can be moved anywhere but you
still can get the same answer. This property only works for
addition and multiplication. Here is an example:
2 +( 4+9) =( 2 + 4)+ 9
8 x ( 7 x 6) =( 8 x 7)x 6
Identity property
The identity property for multiplication states that any number
multiplied by identity (1) gives the original number
2x1 = 2
The identity property for addition states that any number plus 0
gives the original number
2+0 = 2
Distributive property
The distributive property states that you can the distribute the
number outside the brackets to make the problem simpler.
When you distribute you multiply the number outside with every
number in the brackets. Then you add or subtract based on the
sign that is in the middle.
1(2+3)= 1x2 + 1x3 = 2 + 3 = 5
Equality properties
If 2 numbers are equal then the same number can be added
subtracted multiplied and divided on both sides.
If, 2+1 = 4-1, then 2+1 + 100 = 4-1+100
If, 2+1 = 4-1, then 2+1 -100 = 4-1-100
If, 2+1 = 4-1, then (2+1) *100 = (4-1)*100
If, 2+1 = 4-1, then (2+1) /100 = (4-1)/100
Inverse property
Inverse operation of addition is subtraction.
Inverse addition operation on a number gives you zero
2-2=0
Inverse operation of multiplication is division.
Inverse multiplication operation gives you one.
2/2=1