Properties
In this property or addition, the addends switch places.
Commutative Property of Addition
This is a letter that represents an unknown quantity.
variable
5a + 25
How would you factor out the 5?
5(a + 5)
(1 + 17) + 3 = (3 + ___) + 1
17
Use the distributive property to translate the word phrase into a mathematical expression.
Twice the difference of a number and 13
2(n - 13)
In this property of addition, zero is added to a number.
Identity Property of Addition
This kind of expression uses variables
algebraic expression
4b - 40
How would you factor out the 4?
4(b - 10)
What is the missing number in this expression?
2 + 8 = 8 + ___
2
Use the distributive property to translate the word phrase into a mathematical expression.
Triple the sum of 12 and a number
3(12 + n)
DAILY DOUBLE - Worth Double Points!
In this property of multiplication, different factors are grouped together to make the multiplication easier to do mentally.
Associative Property of Multiplication
These are separated by plus or minus signs in an expression
terms
What is the greatest common factor between 21 and 49?
7
What is the missing number in this expression?
3(4 + 5) = 3 x 4 + 3 x ___
5
DAILY DOUBLE- Worth double Points!
Use the distributive property to translate the word phrase into a mathematical expression.
Four times the sum of a number increased by eleven.
4(n + 11)
In this property of multiplication, zero is multiplied by a number.
Zero Property
DAILY DOUBLE!! Worth Double Points!
3 and 7
25 and 75
5 and 5
These are examples of ____________.
Compatible Numbers
Factor out the GCF from this expression:
-10b + 10
-10(b - 1) OR -10(b + -1)
What is the missing number in this expression?
-7(x - 6) = ___(x) - ___(6)
-7
Use the distributive property to write an equivalent expression.
5(3d - 7)
15d - 35
What property is shown?
2(3 + 4) = 2 x 3 + 2 x 4
Distributive Property
This is the largest number that can be divided evenly into two numbers.
Greatest Common Factor or GCF
Factor out the GCF in this expression:
12d - 48
12(d - 4)
DAILY DOUBLE- Worth Double Points!
5(33) = 5 x 30 + 5 x ___
3
Use the distributive property to write an equivalent expression.
-4(6p + 8)
-24p - 32
OR
-24p + -32)