Notations and
Symbols
a,b∈𝐼,
then a + b ∈ 𝐼,
𝑎 × 𝑏 ∈ 𝐼.
Example 1:
Example 2:
Notations and
Symbols
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
For addition:
For multiplication:
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:
Identity Property
Notations and Symbols
Additive Identity
- states that the sum is the
of any number and 0 is the
given number. Zero,”0” is the
additive identity.
Additive Identity is 0.
Multiplicative Identity
- states that the product of
any number and 1 is the given
number. One, “1” is the
multiplicative identity.
Multiplicative Identity is 1.
Example 1:
Example 2:
 Example 1:
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
1
number a is .
Notations and Symbols
The Additive Inverse is the negation
of the element.
𝑎
The Multiplicative Inverse is one
divided by the element.
Example 1:
Example 2:
Thank You & God Bless !!!!!
By : Airen T. Magadan