Identifying Properties
What is the main idea of properties
Properties and statements that are true for any numbers
What is the main idea of closure property
A set is closed if the operation always produces an element of the same set
What is the main idea of order of operations
The specific order used to simplify expressions with more than one operation
What is the main idea of distributive property
Multiply a value to an expression inside grouping
What is the first step to solving a two step equation
Undo the addition/subtraction (to remove constant term)
How many properties are there
7
What happens if the element outside the set is produced
The operation is not closed
7+54/3(2)
43
7(x+4)
7x+28
What is the second step to solving two step equations
Undo the multiplication/division (to remove coefficient)
What property occurs when the order of vales does not matter
Commutative Property
ex. Integers are closed under multiplication
17-25/4+6
15
2(b-3)
2b-6
6x + 8 = 50
x = 7
What property occurs when the grouping of values does not matter
Associative Property
ex. Natural number are closed under subtraction
False
24-42x3/15
-9
-4(y+3)
-4y-12
2n - 5 = 11
n = 8
What property occurs when multiplying 0 always equals 0
Property of Zero
ex. Even numbers are closed under subtraction
True
What is the order called that most people use
G E M D A S
8(4-b)
32-8b
13 = -4k + 9
k = -1