ppt for properties of the operations on integers
TRANSCRIPT
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