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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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Step 1
(a)
A rational number is of the form where are integers where .
The numbers that cannot be expressed in the form is called irrational numbers.
Example:
Rational number :
Irrational number :
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