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Marcus estimated the mass of a grain of sugar as [tex]6 \times 10^{-4}[/tex] grams. Based on that estimate, about how many grains of sugar are there in a small bag of sugar that weighs 0.24 kilograms?

Answer :

There are 400,000 grains of sugar in a small bag of sugar that weighs 0.24 kilograms.

To find out how many grains of sugar are there in a small bag of sugar that weighs 0.24 kilograms, based on Marcus' estimate, follow these steps:

1. Convert the mass of the bag of sugar from kilograms to grams: 0.24 kg * 1000 g/kg = 240 g.
2. Use Marcus' estimate of the mass of a grain of sugar: 6 x 10^-4 g.
3. Divide the total mass of the bag of sugar by the mass of a single grain of sugar: 240 g / (6 x 10^-4 g/grain).

Now, let's perform the calculation:
240 g / (6 x 10^-4 g/grain) = 240 g / 0.0006 g/grain = 400,000 grains.

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