Classification of Numbers Properties of Real Numbers Order of Operations R1 Real Numbers.
Real numbers and their properties
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Transcript of Real numbers and their properties
College Algebra and TrigonometryCollege Algebra and Trigonometry
Dr.Maryam T. Al DossaryDr.Maryam T. Al Dossary
Real Numbers and Their Properties
Real Numbers and Their Properties
OBJECTIVES
At the end of this lesson, you should be able to:
1- Evaluate expressions using order of operations
2- Find absolute values of real numbers
3- Evaluate absolute values using their properties
Order of Operations
If grouping symbols such as parentheses, square brackets,
or fraction bars are present:
Step 1 Work separately above and below each fraction bar
Step 2 use the rules below within each set of parentheses or square
brackets. Start with the innermost set and work outward
Order of Operations
If no grouping are present:
Step 1 simplify all powers and roots, working from left to right
Step 2 do any multiplication or division in order, working from left to
right
Step 3 do any negations, additions or subtractions in order, working
from left to right
USING ORDER OF OPERATIONS
Evaluate each expression
Solution
Example1
(a)
USING ORDER OF OPERATIONS
Evaluate each expression
Solution
Example1
(b)
Absolute Values
ABSOLUTE VALUES
Evaluate each expression
Solution
Example2
(a) (b) (c)
Properties of Absolut Values
For all real numbers a and b
(The triangle inequality)
ABSOLUTE VALUES
Evaluate each expression
Solution
Example2
(a)
ABSOLUTE VALUES
Evaluate each expression
Solution
Example2
(b)
Thank You
Questions