Is the product of a fraction less than 1 and a whole number greater than or less than the whole number?

Question

This is a math question that i need help with.

Answer 1

Let's assume that 0 < f < 1 -- positive PROPER fraction < 1

and w is some whole number. (Whole numbers can only be 0, 1, 2, 3...--never negative.)

 

fw, the product under discussion, could be zero and that would be product equals the whole number...(when w=0 or 1)

fw, the product under discussion, would be < w, in other cases (w>1).

 

Now, ask yourself if the fraction under consideration could be negative (question does not address the issue of its sign).

If you decide that negative values of f would be allowed, assume 0 < |f| < 1, and analyze this situation.