Transcript Whole Number Operations and Their Properties

Whole Number Operations
and Their Properties
This PowerPoint was designed to help students gain a better knowledge on whole
number operations, and their properties. This PowerPoint will include
definitions, and examples of each of the following:
Commutative Property of Addition and Multiplication
Associative Property
Distributive Property
The Zero Property of Addition
The Zero Property of Multiplication
The Multiplicative identity
Order of Operations
Below are links that will help answer any other questions you may have on this topic:
Operations
Lesson on Order of Operations
Order of Operations (PEMDAS)
Properties of Real Numbers
Glossary of Properties
Commutative Property of Addition and
Multiplication
Addition and Multiplication are commutative:
switching the order of two numbers being added
or multiplied does not change the result. When
adding numbers, it doesn't matter which number
comes first, the sum will be the same. Another
way to look at it is, buying two things in different
order still will cost the same.
Examples:
100 + 8 = 8 + 100
100 × 8 = 8 × 100
Associative Property
Addition and multiplication are associative: the
order that numbers are grouped in addition and
multiplication does not affect the result.
Examples:
(2 + 10) + 6 = 2 + (10 + 6) = 18
2 × (10 × 6) = (2 × 10) × 6 =120
Distributive Property
The Distributive Property is an algebra property
which is used to multiply a single term and two or
more terms inside a set of parentheses.
Examples:
10 × (50 + 3) = (10 × 50) + (10 × 3)
3 × (12+99) = (3 × 12) + (3 × 99)
Identity Property
Adding 0 to a number leaves it unchanged.
We call 0 the additive identity.
Example:
88 + 0 = 88
The Zero Property of Multiplication
Multiplying any number by 0 gives 0.
Example:
88 × 0 = 0
0 × 1003 = 0
Identity Property
We call 1 the multiplicative identity. Multiplying any
number by 1 leaves the number unchanged.
Example:
88 × 1 = 88