Question

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

Answer 1

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

Explanation:

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

Let x be an irrational number.

So,
`$ x.(1)/(x)= 1$`

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.