To produce a rational number we add 0.22 to 1/3. So, option C. is the right option.
What are rational and irrational numbers?
A rational number is any number of the form p/q, where p, q ∈ Z, q ≠ 0, and p and q have no common factors except 1.
Any number which cannot be expressed in the above form is called an irrational number.
How do we solve the given question?
In the question, we are asked to find the number from the given choices, which when added to 1/3, produces a rational number.
We know that adding an irrational number to any number gives an irrational number only. So we simply need to check for the rational number among the given options. Analyzing the options:
- A. π: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number. (We sometimes take π = 22/7 which is a rational form, but it is not the actual value of π).
- B. 5.38516480...: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.
- C. 0.22: It is a rational number as it can be written as 11/50, the required p/q form for being a rational number.
- D. √10: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.
∴ We will add 0.22 to 1/3, to produce a rational number. Option C. is the right choice.
Learn more about rational and irrational numbers at
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