Whole Number Operations and Their Properties

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Whole Number Operations and Their Properties

• By Jessica LaFreniere

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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

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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

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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

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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  (1299)  (3  12)  (3  99)

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The Zero Property of Addition

• Adding 0 to a number leaves it unchanged. We call
  0 the additive identity.
• Example
• 88  0  88

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The Zero Property of Multiplication

• Multiplying any number by 0 gives 0.
• Example
• 88  0  0
• 0  1003  0

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The Multiplicative Identity

• We call 1 the multiplicative identity.
  Multiplying any number by 1 leaves the number
  unchanged.
• Example
• 88  1  88

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Order of Operations

• The order of operations for complicated
  calculations is as follows
• Perform operations within parentheses.
• Multiply and divide, whichever comes first, from
  left to right.
• Add and subtract, whichever comes first, from
  left to right.
• Example
• 1  20  (6  2)  2 
• 1  20  8  2 
• 1  160  2 
• 1  80 
• 81.