Transcript Distributive Property

Chapter 9
L9-1 Notes:
Properties
Distributive Property Using Models
Find the area of the blue and yellow rectangles.
Distributive Property (Rainbow)
 Distributive Property combines addition and
multiplication.
Distributive Property
You can use the Distributive Property to solve
some multiplication problems mentally.
 Find 4 × 58 using the distributive property.
On Your Own…
Rewrite each expression using the Distributive
Property.
1. 5 × 84
2. 12 × 32
3. 2 × 3.6
Properties of Addition and Multiplication
 Commutative Property The order in which numbers
are added or multiplied does not change the sum or
product.
Ex.
4 + 3 = 3 + 4 or 5 × 4 = 4 × 5
 Associative Property The way in which numbers
are grouped when added or multiplied does not
change the sum or product.
Ex. (3 + 4) + 5 = 3 + (4 + 5) or (2 × 3) × 4 = 2 × (3 × 4)
Properties of Addition and Multiplication
 Additive Identity The sum of any number
and 0 is the number.
Ex. 5 + 0 = 5 or a + 0 = a
 Multiplicative Identity The product of any
number and 1 is the number.
Ex.
7 × 1 = 7 or a × 1 = a
Properties
You can use properties to find sums and
products mentally.
Find 15 + 28 + 25 mentally.
On Your Own…
Find each sum or product mentally.
1. 5 × 26 × 2
2. 37 + 98 + 63