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  Terminating Decimal     Fraction     Decimal  

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Irrational Number
Definition of Irrational Number

  • Irrational numbers are Real Numbers that cannot be expressed as fractions, terminating decimals, or repeating decimals.

Examples of Irrational Number

  • are few examples of irrational numbers.

Solved Example on Irrational Number

Identify the irrational number.
Choices:
A. 0.3
B.
C.
D.
Correct Answer: C
Solution:
Step 1: The Value of  is 2.4494897427831780981972840747059...
Step 2: The Value of  is 5.
Step 3: The Value of  is 0.6.
Step 4: Among the choices given, only  is an irrational number.

Related Terms for Irrational Number

  • Terminating Decimal
  • Fraction
  • Decimal

Additional Links for Irrational Number


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Browse for solved examples below on this Math Dictionary term:
Alabama Course of Study > Grade 8 > Rational & Irrational Numbers > 1.e: Square Roots & Irrational Numbers
Alabama Course of Study > Algebra - 1 > Real Number Systems > 1: Number Line
Alabama Course of Study > Statistics and Probability > The Cartesian Plane and Functions > The Real Number Line
Alaska Math Grade Level Expectations > Grade > Describing Patterns and Functions > [3] F&R-3: Number Pattern for the Figure Pattern
Alaska Math Grade Level Expectations > Grade 3 > Describing Patterns and Functions > [3] F&R-3: Number Pattern for the Figure Pattern
Alaska Math Grade Level Expectations > Benchmark - Algebra II > Describing Patterns and Functions > [6] F&R-1-4: Number Patterns
Alaska Math Grade Level Expectations > Grade 6 > Describing Patterns and Functions > [6] F&R-1-4: Number Patterns
Alaska Math Grade Level Expectations > Grade > Modeling and Solving Equations and Inequalities > [3] F&R-4-5: Number Relations
Alaska Math Grade Level Expectations > Grade 3 > Modeling and Solving Equations and Inequalities > [3] F&R-4-5: Number Relations
Alaska Math Grade Level Expectations > Grade 4 > Modeling and Solving Equations and Inequalities > [4] F&R-4: Number Relations
Alaska Math Grade Level Expectations > Algebra - 1 > Rational & Irrational Numbers > [9] N-4: Square Roots & Irrational Numbers
Alaska Math Grade Level Expectations > Geometry > Real Number Systems > [10] N-1: Number Line
Arizona Academic Content Standards > Calculus - 1 > The Cartesian Plane and Functions > The Real Number Line
Arizona Academic Content Standards > First Grade > Whole Numbers > 1.1.PO 1: Identifying Numbers on a Number Line
Arizona Academic Content Standards > Grade 1 > Whole Numbers > 1.1.PO 1: Identifying Numbers on a Number Line
Arizona Academic Content Standards > Grade > Algebra Readiness > 3.3.PO 1-2: Number Relations
Arizona Academic Content Standards > Grade 3 > Algebra Readiness > 3.3.PO 1-2: Number Relations
Arizona Academic Content Standards > Algebra - 1 > Real Number Systems > 1.1.PO 1: Number Line
Arkansas Math Framework > Grade > Algebra Readiness > A.5.3.2-3: Number Relations
Arkansas Math Framework > Grade 3 > Algebra Readiness > A.5.3.2-3: Number Relations
Arkansas Math Framework > Grade 4 > Algebra Readiness > A.5.4.1-2: Number Relations
Arkansas Math Framework > Algebra - 2 > Equations and Inequalities > Real Numbers and Number Operations
Arkansas Math Framework > Algebra 2 > Equations and Inequalities > Real Numbers and Number Operations
Arkansas Math Framework > Benchmark - Algebra II > Exploring Algebra > A.4.6.1: Number Patterns
Arkansas Math Framework > Grade 6 > Exploring Algebra > A.4.6.1: Number Patterns
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