Are the following statements TRUE or FALSE? e is a rational number. _____________ 2. Every whole number is a real number.______
Are the following statements TRUE or FALSE? e is a rational number. _____________ 2. Every whole number is a real number.______
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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Are the following statements TRUE or FALSE?
- e is a rational number. _____________
2. Every whole number is a real number._____________
Expert Solution
Step 1
Consider the provided question,
(1)
e is rational number, true or false.
Since, a rational number is one which can be expressed as a ratio of two integers.
The value of e is 2.7182818…..
When the value of e in the decimal form, there is no repeating pattern is observed. So, it can not be written as ratio of two integers.
So, e is not rational number. It is an irrational number.
Thus, the given statement e is a rational number is FALSE.
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