Question

Algebra: Rational & Irrational Numbers Unit test:
Proven that the product of 2 and 3/4 is an irrational number. Find the product and explain why the value is irrational. Explain your reasoning in 1 sentence.

Answer 1

The product of 2 and \( \frac{3}{4} \) is \( 2 \times \frac{3}{4} = \frac{6}{4} = \frac{3}{2} \), which is actually a rational number, not an irrational number. Therefore, the statement that the product is an irrational number is incorrect. Rational numbers can be expressed as the ratio of two integers, and since \( \frac{3}{2} \) fits this definition, it is rational.