The product of a non-zero rational number and an irrational number can always be written as A.a fraction. B.a terminating decimal. C.a non-repeating, non-terminating decimal. Da repeating decimal

Respuesta :

The product of a non-zero rational number and an irrational number is irrational.
Therefore C is the answer.
A, B, and D are all properties of rational numbers. Irrational numbers are ones that can not be written as a ratio, or fraction, using whole numbers. They are non-repeating, non-terminating numbers. Example would be pi.

Using concepts of rational and irrational numbers, it is found that that the correct option is:

C. a non-repeating, non-terminating decimal.

  • Rational numbers are represented by integers, fractions, repeating or terminating decimals.
  • Irrational numbers are represented by non-repeating and non-terminating decimals.
  • The product of a rational number with a irrational one is always irrational.
  • Thus, it is always either a non-repeating and non-terminating decimal, thus option C is correct.

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