Question

Which number produces a rational number when added to 0.5?
A)sq root of 6
B) pie
C)-3.5
D)0.5050050005...

Answer 1

-3.5 + 0.5 = -3...which can be written as -3/1, which is rational

so ur answer is C

Answer 2

ANSWER

The correct answer is
$- 3.5$


EXPLANATION

The number
$0.5$
is a rational number.


Since the set of rational numbers is closed under addition, the number that should be added to
$0.5$
should also be a rational number in order to get another rational number.


This means that, if we add a rational number to an irrational number we get an irrational number.



The only rational number in the options provided is
$- 3.5$


We add it to
$0.5$
to get
$- 3.5 + 0.5 = - 3.0$


Note that,
$- 3 = - \frac{3}{1}$
Hence the result is a rational number.



As for the remaining options,
$\sqrt{6},\pi,0.5050050005...$

are irrational numbers, so adding them to
$0.5$
will not produce a rational number.