Question

Hellppp <3 ;3

Which number produces a rational number when added to 0.5?

A. square root 6
B. PI
C. –3.5
D. 0.5050050005...

Answer 1

Hello,

A rational number is any number that can be expressed as a fraction (using integers).

For answer choice A,
`√(6) + 0.5` is ≈ 2.949, which cannot be expressed as a fraction.

For answer choice B, Pi is not a rational number, and the sum of any number and pi cannot be rational.

For answer choice C, -3.5 is a rational number, which can be represented by -7/2. When 0.5, or 1/2, is added, we get -3, which can be represented by -6/2.

So, the answer is C, but we should check answer D just to make sure it does not work.

0.5050050005... is not a rational number that can be represented by a fraction. It is infinite, and when added to 0.5 is 1.050050005, which cannot be represented by a fraction and is therefore not rational.

The answer is C.

Hope this helps!