Lesson 2.3
Properties
SUM
addend
addend
5 + 10 = 15
factor
factor
PRODUCT
4 x 5 = 20
Five Properties
1.Commutative
2. Associative
3. Distributive
4. Identity Property of
Multiplication
Commutative
Property
The property that states that if
the order of addends or factors
is changed, the sum or product is
the same.
6 +2 = 2 +6
2 x 5= 5 x 2
(both = 8)
(both = 10)
Associative
Property
The property that states that
whatever way addends or
factors are grouped does not
change the sum or the product.
(8 + 5) + 4 = 8 + (5 + 4)
(6 x 7) x 2 = 6 x (7 x 2)
both = 17
both = 84
Distributive
Property
The property that states that
multiplying a sum by a number is
the same as multiplying each
addend by the number and then
adding the products.
4 x (7 + 3) = (4 x 7) + (4 x 3)
both = 40
7 x (8 + 4) = (7 x 8) + (7 x 4)
both = 84
Identity Property of
Multiplication
The property that states that the
product of any number and 1 is that
number.
5 x 1 = 5
12 x 1 = 12
1 x 9 = 9
Identity Property of
Addition
The property that states that the
sum of zero and any number is that
number.
4 + 0 = 4
7 + 0 = 7
0 + 34 = 34
CAN YOU FIND
IT?
Look under your desk!
Place your card under
Let’s Practice
Practice #1: Properties Cut & Paste
(check in with teacher)
Practice #2: Properties Packet
(check in with teacher)