Final answer:
Using the factor labeling method, we find that there are 200 nickels in 10 dollars, by using the equivalence that 1 dollar is equal to 20 nickels.
Step-by-step explanation:
The question asks us to calculate the number of nickels in 10 dollars using the factor labeling method (also known as unit conversion or dimensional analysis). This method leverages equivalence relationships between units to convert from one unit to another.
First, let's establish the equivalence between dollars and nickels: there are 20 nickels in 1 dollar because each nickel is worth 5 cents. We then set up our factor-label conversion:
10 dollars x (20 nickels/1 dollar) = 200 nickels
Through this calculation, we see that there are 200 nickels in 10 dollars.