Properties Definitions
What is the commutative Property
what is: changing the order of the terms doesn't change the answer for addition or multiplication
6(3x+9)
6*3x+6*9
18x+54
what property is this?
distributive property
5 times a number
5x
8*7
56
what is my last name
Angrisano
What are the four steps of distributive property?
(1+2)+3=1+(2+3)
associative property
75 less than a number
x-75
9*11
99
show an example of the commutative property
example
what is the associative property
the placement of parentheses doesn't matter when adding or multiplying
4*2*3=2*3*4
commutative property
twice a number increased by three
2x+3
8*9
72
an expression doesn't have one, an equation does
an equal sign
What is the identity property of addition and multiplication?(must explain both)
addition: adding zero to a number gets the number
multiplication: multiplying a number by one gets the number
715*1=715
identity property of multiplication
the sum of half a number and ten
1/2x+10
12*11
132
distribute the following: 3(7x+4)
21x+12
What is the inverse property of addition and multiplication(both!)
addition: adding a number to it's inverse gets zero
multiplication: multiplying a number by it's inverse gets one
75/4*4/75=1
inverse property of multiplication
the quotient of thrice a number and seven
3x/7
25*7
175
solve the following: 3(5x+2)=12
x=2/5