1) Give an example of a rational number AND an irrational number.       What is the difference between them?   2) What is the decimal equivalent of your two examples?   3) Can every repeating decimal be written as a rational number? Explain why or why not.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.4: Real Numbers
Problem 40E
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1) Give an example of a rational number AND an irrational number.

      What is the difference between them?

 
2) What is the decimal equivalent of your two examples?
 
3) Can every repeating decimal be written as a rational number? Explain why or why not.
 
Expert Solution
Step 1

(a)

A rational number is of the form pq where p and q are integers where q0.

The numbers that cannot be expressed in the form pq is called irrational numbers.

Example:

Rational number : 25

Irrational number : 2

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