Math Problem Statement

rational irrational

-- 6.50

Solution

The terms rational and irrational refer to different types of numbers:

  • A rational number is a number that can be expressed as the quotient or fraction of two integers (e.g., ab\frac{a}{b}, where aa and bb are integers and b0b \neq 0). Examples: 12,3,5\frac{1}{2}, 3, -5.

  • An irrational number cannot be expressed as a simple fraction. Its decimal expansion goes on forever without repeating. Examples: 2,π\sqrt{2}, \pi, and ee.

Now, let's evaluate 6.50:

  • The number

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Math Problem Analysis

Mathematical Concepts

Number Theory
Rational Numbers
Irrational Numbers

Formulas

Rational number: \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \)

Theorems

Definition of Rational Numbers
Definition of Irrational Numbers

Suitable Grade Level

Grades 6-8