pound of sugar weighs approximately 4.5 × 102 grams. If each grain of sugar weighs 6.25 × 10-4 of a gram, which is the best estimate for the number of grains of sugar in a 5-pound bag?
To find the number of grains of sugar in a 5-pound bag, we first need to convert 5 pounds to grams.
1 pound is approximately 4.5 x 10^2 grams, so 5 pounds would be:
5 x 4.5 x 10^2 = 2.25 x 10^3 grams
Next, we need to find the number of grains in 2.25 x 10^3 grams. Each grain weighs 6.25 x 10^-4 grams. So, we can calculate the number of grains by dividing the total weight by the weight of each grain:
2.25 x 10^3 / 6.25 x 10^-4 = 3.6 x 10^6
Therefore, the best estimate for the number of grains of sugar in a 5-pound bag is approximately 3.6 x 10^6 grains.