8. 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:
17. Additive Identity is 0.
Multiplicative Identity is 1.
Notations and Symbols
Identity 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.
20. 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