Answer :
Final answer:
6300 kg of sand in grams is 6.3 x 10^6 g, and the number of grains in it would be 9 x 10^6 when one grain weighs 7 x 10^-1 g.
Explanation:
Converting 6300 kg to grams, we multiply by 1000 (since there are 1000 grams in a kilogram), giving us 6300000 grams. Written in standard form, this is 6.3 x 106 grams.
To find the number of grains in 6300 kg of sand, we again use the weight in grams (6.3 x 106 grams) and divide by the weight of one grain of sand, which is given as 7 x 10-1 grams. This calculation gives us:
(6.3 x 106) / (7 x 10-1) = 9 x 106 grains of sand.
Thus, there are 9 x 106 grains of sand in 6300 kg of building sand when considered in standard form.