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

Question

valentinak56 [21]

3 years ago

8

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

error.

Mathematics

1 answer:

Vinvika [58] · Answer 1 · 2021-12-10T05:52:32+03:00

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, $x.\frac{1}{x}= 1$

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.