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The number 0.8 can be written as 8 over 10, so it is an irrational number, true or false?!?!

The number 0.8 can be written as 8 over 10, so it is an irrational number, true or false?!?!
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5 votes
The number 0.8 can be written as 8 over 10, so it is an irrational number, true or false?!?!

User DataByDavid
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2 Answers

7 votes
It is false because the only way it would be true is if the decimal point had un-repeating numbers after is like 1.414124245... would be a great example. 
User Zango
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2 votes
For a number to be rational by definition, a fractional representation of the number must exist.
So N = n/m is rational if n and m are integers.
Since it's given in fractional form it's rational by definition.
Hence false.
User Razzer
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8.9k points
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