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Which number produces a rational number when added to 0.6?

A. 0
B. √2
C. π
D. 0.5050050005...

User Debarchito
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1 Answer

6 votes

Final answer:

When added to 0.6, both option A (0) and option D (a repeating decimal) will produce a rational number, as they can both be expressed as fractions with integer numerators and non-zero integer denominators.

Step-by-step explanation:

The question asks which number, when added to 0.6, produces a rational number. A rational number is a number that can be expressed as a fraction with integer numerators and non-zero integer denominators. Let's consider the options given:

A. 0 - Adding 0 to 0.6 will result in 0.6, which is already in decimal form and can be written as ⅓, making it a rational number.

B. √2 - This is an irrational number; adding it to 0.6 will result in an irrational number.

C. π (Pi) - Pi is an irrational number, so adding it to 0.6 will also result in an irrational number.

D. 0.5050050005... - This appears to be a repeating decimal, and repeating decimals are rational numbers. Adding this to 0.6 will result in another rational number.

Thus, options A and D will produce a rational number when added to 0.6.

User Brandon Truong
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