College

The average mass of a grain of one type of sand is [tex]7 \times 10^{-4}[/tex] grams. There are 1,000 grains of the sand in 1 cubic centimeter. What is the mass, in grams, of 1 cubic centimeter of the sand in scientific notation?

Answer :

Final answer:

To calculate the mass of 1 cubic centimeter of sand, multiply the mass of one grain (7 x 10^-4 grams) by the number of grains in 1 cc (1,000), which equals 0.7 grams or 7 x 10^-1 grams in scientific notation.

Explanation:

The average mass of one grain of sand is 7 x 10-4 grams. To find out the mass of 1 cubic centimeter of sand, we multiply the mass of one grain by the number of grains in 1 cubic centimeter:

Mass of 1 grain of sand = 7 x 10-4 grams
Number of grains in 1 cc = 1,000 grains
Mass of 1 cc of sand = 7 x 10-4 grams/grain x 1,000 grains/cc

Mass of 1 cc of sand = 0.7 grams or 7 x 10-1 grams in scientific notation.