A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?

0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 ⋅ 10–1
0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1
4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73
5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10–24) = 5.1102

usually on line * is used for multiplication, ^ is used to show exponents

so you have:
(3.06*10^23)(1.67*10^-24)

= (3.06)(1.67)*10^-1
= 5.1102*10^-1
= .51102

what do you think?