High School

The mass of a grain of sand is about [tex]10^{-3}[/tex] gram. About how many grains of sand are in 1,000 kilograms of sand?

Answer :

Final answer:

To find the number of grains of sand in 1,000 kilograms of sand, divide the mass of the sand by the mass of a single grain of sand.

Explanation:

To find the number of grains of sand in 1,000 kilograms of sand, we need to convert the mass of the sand into grams. Since 1 kilogram is equal to 1000 grams, 1,000 kilograms is equal to 1,000,000 grams. Next, we divide the mass of the sand by the mass of a single grain of sand: 1,000,000 grams divided by 10^(-3) grams per grain of sand. This gives us a total of 10^9 grains of sand.

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