Properties of Numbers

"Change Order"

• Commutative Prop.
• Associative Prop.
• Distributive Prop.
• Inverse Prop.

"Change Grouping"

• Commutative Prop.

• Associative Prop.

• Distributive Prop.

• Inverse Prop.

(1 + 3) + 4 = 1 + ( 3 + 4)

• Commutative Property of Multiplication
• Commutative Property of Addition
• Associative Property of Multiplication
• Associative Property of Addition

9 ^_x 2 = 2 ^_x 9

• Commutative Property of Multiplication
• Associative Property of Multiplication
• Multiplicative Inverse Property
• Distributive Property

3 + 8 = 3 + 8

• Substitution Property

• Transitive Property

• Symmetric Property

• Reflexive Property

If x = 5, then 8x = 8(5)

• Symmetric Property

• Reflexive Property

• Substitution Property

• Transitive Property

If  $10=1+9$  , then  $1+9=10$  

• Symmetric Property

• Reflexive Property

• Transitive Property

• Substitution Property

 $16+0=16$  

• Association Property of Addition

• Additive Identity Property

• Additive Inverse Property

• Substitution Property

If  $2+8=4+6$ and  $4+6=10$  , then  $2+8=10$  

• Reflexive Property

• Symmetric Property

• Transitive Property

• Substitution Property

 $8\cdot1=8$  

• Multiplicative Identity Property

• Multiplicative Property of Zero

• Multiplicative Inverse Property

• Additive Identity Property