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 a rational number, not an irrational number. Therefore, the statement that the product is irrational is incorrect; \( \frac{3}{2} \) can be expressed as a fraction where both the numerator and denominator are integers, confirming it as rational.