229k views
4 votes
Diego and Pablo disagree on whether 0.8759 is a rational number or not. Diego says it is not rational, and Pablo says that it is rational. Who is correct and why?

2 Answers

5 votes

Pablo would be correct because the number 0.8759 is a rational number.


A simple way to think about this would be to realize that the number 0.8759 can be written as a fraction (8759/10000).


Another way to determine that this number is rational is that it comes to a complete stop, unlike rational numbers. For example, pi (π) will never end as its digits go on forever and ever. However, 0.8759 doesn't go on forever because there is no indication that it never terminates.

User Gumzle
by
5.3k points
6 votes

Pablo is correct because , the number 0.8759 is rational number because it doesn't go on like pi or the square root of 2 it stops at a certain point and was probably rounded . I'm not sure if its 100% correct.

Hope this helps!

User John Bull
by
4.9k points