Answer :
Final answer:
The number 0.151 to 151 with a bar over it represents a repeating decimal, and is therefore a rational number because it can be written as a fraction of two integers.
Explanation:
The number 0.151 up to 151 with a bar over it indicates a repeating decimal. This number is called a rational number. A rational number is any number that can be expressed as the fraction of two integers. In this case, 0.151151151... qualifies as a rational number since it can ultimately be written as a fraction.
The distinction between rational and irrational numbers lies mainly in whether or not they can be expressed as fractions. Irrational numbers cannot be written as a simple fraction, and their decimal goes on forever without repeating. An example of an irrational number is the value of pi (π).
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