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

ANSWER

The correct answer is

`- 3.5`


Step-by-step 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 = - (3)/(1)`
Hence the result is a rational number.



As for the remaining options,

`√(6),\pi,0.5050050005...`

are irrational numbers, so adding them to

`0.5`
will not produce a rational number.

Answer 2

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

so ur answer is C