Q. Is the following number rational or irrational?−2πChoose 1 answer:(A) Rational(B) Irrational
Evaluate extpi: Evaluate the nature of extpi. extPi ( extpi) is a well-known mathematical constant that represents the ratio of the circumference of a circle to its diameter. extPi is an irrational number because it cannot be expressed as a fraction of two integers; its decimal representation is non-terminating and non-repeating.
Determine −2π: Determine the nature of −2π.Multiplying an irrational number by a rational number (in this case, −2) does not change its irrational nature. The product of a rational and an irrational number is always irrational.
Conclude -2\pi \'s nature: Conclude whether \$ -2\pi is rational or irrational.Since π is irrational, and multiplying by −2 does not change this, −2π is also irrational.
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