a , b ∈ 𝐼 ,then a + b ∈ 𝐼,

𝑎 × 𝑏 ∈ 𝐼.

Notations and

Symbols

Example 1:

Example 2:

Commutative Property

Changing the order of two

numbers that are either being

added or multiplied does not

change its value.

a, b ∈ 𝐼 , then a + b ∈ 𝐼, 𝑎 × 𝑏 ∈ 𝐼

Notations and

Symbols

For multiplication:

For addition:

Example 1:

Example 2:

Notations and

Symbols

For addition:

Associative Property

Changing the grouping of numbers

that are either being added or

multiplied does not change its value.

Example 1:

Example 2:

Notations and

Symbols

Example 1:

Example 2:

Additive Identity is 0.

Multiplicative Identity is 1.

Notations and SymbolsIdentity Property

Additive Identity

- states that the sum is the

of any number and 0 is the

given number. Zero,”0” is the

additive identity.

Multiplicative Identity

- states that the product of

any number and 1 is the given

number. One, “1” is the

multiplicative identity.

Example 1:

Example 1:

Example 2:

Inverse Property

In Addition

- states that the sum of any number additive inverse and its additive inverse, is zero. The additive inverse of the number a is –a.

In Multiplication

- states that the product of any number and its multiplicative inverse or reciprocal, is 1. The multiplicative inverse of the

number a is 1

𝑎.

The Additive Inverse is the negation

of the element.

The Multiplicative Inverse is one

divided by the element.

Notations and Symbols

Example 1:

Example 2:

Thank You & God Bless !!!!!

By : Airen T. Magadan