High School

A bricklayer needs to order 6300 kg of building sand.

a) Write 6300 kg in grams, giving your answer in standard form.

One grain of this sand approximately weighs [tex]7 \times 10^{-1}[/tex] g.

b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard form.

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.