A pound of sugar weighs approximately 4.5 × 10^2 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 in a 5-pound bag, we first need to calculate the number of grams in a 5-pound bag.
1 pound is equivalent to approximately 4.5 × 10^2 grams, so 5 pounds would be:
5 pounds * 4.5 × 10^2 grams/pound = 2.25 × 10^3 grams
Next, we need to find the number of grains in 2.25 × 10^3 grams. We are given that each grain weighs 6.25 × 10^-4 grams. So, the number of grains in 2.25 × 10^3 grams would be:
2.25 × 10^3 grams / 6.25 × 10^-4 grams/grain = 3.6 × 10^6 grains
Therefore, the best estimate for the number of grains of sugar in a 5-pound bag would be approximately 3.6 × 10^6 grains.