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Math Properties

Terms in this set (12)

Identity Property

Addition
Multiplication
Addition
A number + 0 = that number
6+0=6

Multiplication
A number times 1 = that number
1*6=6
Multiplicative Property of Zero
Any number multiplied by 0 is 0: a(0)=0
Inverse Properties

Additive
Multiplication
Addition -for every number there is an opposite ex. 1, -1

Mult.
A number times the reciprocal: 3/4=x then (4/3)3/4=x(4/3)
Commutative Property of

Addition
Multiplication
The order which you add or multiply numbers does not change their sum: a+b=b+a /ab=ga

Subtraction and Division are not commutative(ORDER MATTERS)
Associative Property

Addition
Multiplication
Changing the grouping of numbers will NOT change the value: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication 7x4x8=4x8x7
Distributive Property
If a(b + c) then ab + ac

2(x+4)=2x+8
When parallel lines cut through a traversal this is always true.
Corresponding Angles are always congruent
Determine Right angle side
3, 8, and square root of 73
Square root first to see which side is the biggest and that will be the C squared(hypotenuse)

Or square the other to sides 9, 64, 73 to determine.

If Multiple Choice:
Add 3 and 8 = 11
Then subtract 8 and 3 = 5
The side has to be 5<S<11- the side could be 6,7,8,9,10
Acute Triangle
a^2+b^2 >c^2
Sides A and B squared are GREATER than C squared
Obtuse Triangle
a^2+b^2 <c^2
Sides A and B squared are LESS than than C squared
Right Triangle
a^2+b^2 =c^2
Sides A and B squared are EQUAL to C squared
Not a Triangle(Triangle Inequality)
2, 3, 6 (Not a triangle)
Sum of A + B must be Greater than C
If they are not-It will not make a triangle
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