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Select the correct answer. Which statement describes -(1)/(11) A. It is an Irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because It is negative.

Problemas

Select the correct answer.
Which statement describes -(1)/(11)
A. It is an Irrational number.
B. It is a rational number that has a repeating decimal expansion.
C. It is a rational number that has a terminating decimal expansion.
D. It is not a rational number because It is negative.

Select the correct answer. Which statement describes -(1)/(11) A. It is an Irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because It is negative.

Solución

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Luismaestro · Tutor durante 5 años
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The correct answer is B. It is a rational number that has a repeating decimal expansion.<br /><br />Explanation:<br />A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers. In this case, $-\frac{1}{11}$ is a rational number because it can be expressed as a fraction with an integer numerator (-1) and an integer denominator (11).<br /><br />The decimal expansion of a rational number can either be terminating or repeating. In this case, the decimal expansion of $-\frac{1}{11}$ is repeating, as it can be written as -0.09090909... with the digits 09 repeating indefinitely.<br /><br />Therefore, the correct answer is B. It is a rational number that has a repeating decimal expansion.
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