AllyPotter2341 AllyPotter2341
  • 24-09-2020
  • Mathematics
contestada

4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.​

Respuesta :

AbsorbingMan AbsorbingMan
  • 25-09-2020

Answer:

She did not consider the multiplicative inverse property of a real number

Step-by-step explanation:

Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.

Let x be an irrational number.

So, [tex]$ x.\frac{1}{x}= 1$[/tex]

If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.

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