There exist a RATIONAL number whose product is a WHOLE number. True or False?
Answer (1)
The answer is TRUE.A rational number is any number that can be written as a fraction [tex]$\sf{\frac{p}{q}}$[/tex], where [tex]$\sf{p, q \in \mathbb{Z}}$[/tex] and [tex]$\sf{q \neq 0}$[/tex].A whole number is a non-negative integer ([tex]$\sf{0, 1, 2, 3, \dots}$[/tex]).If we take a rational number like [tex]$\sf{\tfrac{1}{2}}$[/tex] and multiply it by 2, the product is 1, which is a whole number. So yes, such rational numbers exist.
