PROPORTIES

INVERSE PROPERTY

TYPES OF INVERSE PROPERTIES

• Additive
• Multiplicative

DEFINITIONS

• Additive Inverse
• The opposite of a number.
• Multiplicative Inverse
• Another name for reciprocal.

EXAMPLES

• Additive Inverse
• 3 = -3
• Multiplicative Inverse
• 5 = 1/5

In Our Own Words

The Inverse Property is a number and it's opposite.

IDENTITY PROPERTY

TYPES OF IDENTITY PROPERTIES

• Multiplication
• Additive

DEFINITIONS

• Additive
• You can add 0 to any number and
• it keeps it's identity.
• Multiplication
• You can multiply 1 to any number-

DEFINITIONS

• and it keeps it's identity

EXAMPLES

• Additive
• 5+0= 5
• Multiplication
• 8x1=8

In Our Own Words

The Identity Property means in certain scenarios you can x/+ numbers so that they can keep they're identities.

COMMUTATIVE PROPERTY

TYPES OF COMMUTATIVE PROPERTIES

• Addition
• Multiplication

DEFINITIONS

• Addition
• The addends can be added in any order-
• and the sum will be the same.
• Multiplication
• Factors can be multiplied in any order -

DEFINITIONS

• the product will be the same.

EXAMPLES

• Addition
• 5+6= 6+5
• Multiplication
• 5x6 = 6x5

In Our Own Words

That no matter what order the factors or addends are +/x together, the total will always remain the same.

ASSOCIATIVE PROPERTY

TYPES OF ASSOCIATIVE PROPERTIES

• Addition
• Multiplication

DEFINITION

• Addition
• The sum is the same regardless of grouping
• Multiplication
• The product is the same regardless of grouping

EXAMPLES

• Addition
• 2+3+8=3+2+8
• Multiplication
• 2x5x4=5x2x4

In Our Own Words

Numbers can be multiplied or added, no matter the way the are grouped

DISTRIBUTIVE PROPERTY

DEFINITION

• The Distributive Property says that multiplying a number by a group of numbers
• added together is the same as doing each multiplication separately

EXAMPLES

• 3 × (2 + 4) = 3×2 + 3×4

In Our Own Words

Multiplying with numbers grouped together is the same as multiplying with numbers not grouped.