Final answer:
The product of one-fifth times 2 is two-fifths, visualized as taking one slice from each of two pies divided into 5 equal slices, resulting in two of those slices in total.
Step-by-step explanation:
The question asks for the product of one-fifth times 2. To answer this, imagine you have two fraction bars, each divided into 5 equal parts with 1 part shaded in each bar. Multiplying 2 by one-fifth means you will have two of those one-fifth parts. Therefore, the product is two-fifths, since one-fifth plus one-fifth equals two-fifths.
Now let's visualize this with the pie example from the reference. If you had one pie divided into 5 slices and you take one slice from each of the two pies, you would have two slices out of the total 5 slices from one pie, which is the same as taking two-fifths of a pie. This provides a clear visual representation of the multiplication process using fractions.
Using another example from the reference material, if you were to multiply by a fraction, such as one-eighth, multiplying it by a whole number, like 1000, would give us exactly 125. This relates back to the concept of scaling a quantity by a fraction.