8.2.3.2

PROPERTIES!

• Communitive
• Assosciative
• Distributive
• Identity
• Zero product property
• Inverse
• Equality properties
• Substitution

COMMUNITIVE

• What is Communitive Property?
• It works like a+b =b+a
• Or a*b =b*a
• It doesn’t work for subtraction or division
• 3+8=8+3
• It practically says that two numbers can be added/multiplied in any order

ASSOCIATIVE

• What is the associative property?
• It works like [6*8]5 = 6[8*5]
• Or [6+8]+5 = 6+[8+5]
• With multiplication or division the parenthesis can be moved and you will get the same answer

DISTRIBUTIVE

• What is the distributive property?
• It works like 5[8+a] = 40+5a
• You just multiply the number outside the parenthesis to the ones on the inside

IDENTITY

• It works like C*1=C
• Or E+0=E
• It practically just lets the number keep its same value

ZERO PRODUCT PROPERTY

• What is the zero product property ?
• It works like 5*0=0
• You just multiply a number by 0 so the answer is then 0

INVERSE

• What is the inverse property?
• Addition: 5+-5=0
• Multiplication: 5*1/5=1
• It just brings a value down to 0[addition] or 1[multiplication]

EQUALITY PROPERTIES

• What are the equality properties?
• Addition: 5+5=10
• Subtraction: 10-5=5
• Division: 10/5=2
• Multiplication: 5*2=10
• This just means that both sides are equal
• To find a missing part of the equation you would use the opposite property to find it

SUBSTITUTION PROPERTY

• What is the substitution property?
• You substitute a number with a letter
• Like 5+a=10 when a=5

That’s all Folks