Alg 2 Trig(H) Unit 1

Trichotemy Property

Trichotemy Property

If a and b are real numbers then either a<b, a>b, or a=b

Cancellation Property for Addition

If a + c = b + c, then a = b

Multiplication Property of -1

a(-1)=-a

Reciprocals of Equals are Equal

If a=b then 1/a=1/b

Definition of Subtraction

a-b=a+(-b)

Definition of Division

a/b = a (1/b), b ≠ 0

A negative number divided by a positive number is a negative number

-x/y = -(x/y)

Property of the Reciprocal of a Product

1/ab = 1/a * 1/b

A negative sign distributes over addition

-(a + b) = -a + -b

The opposite of the opposite of a number, is that number

-(-a) = a

Cancellation Property of Multiplication

if ac=bc then a=b when c is not 0

Multiplication property of zero

a x 0 = 0

Cancellation Property for Division

if a/c = b/c then a = b

Division Distributes over Subtraction

(x - y)/z = x/z - y/z

Division Distributes over Addition

(x + y)/z = x/z + y/z

multiplication property of fractions

xy/ab=x/a*y/b