Question

Can someone please help me?

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

Answer 1

To multiply two numbers written in scientific notation, you multiply the mantissa portions (the number without an exponent) to get the new mantissa, then add the exponents to get the new exponent.

Answer 2

i dont really get it?

Answer 3

\[a*10^b * c*10^d = (a*c) * 10^{b+d}\]

Answer 4

oh so like...

Answer 5

3.06 x 1.67 x 10^23 x (-24)

Answer 6

is that right? ^

Answer 7

so far so good. What do you get when you do that?

Answer 8

give me a sec

Answer 9

it would be 5.11 x 10^-552

Answer 10

oh so it would be D

Answer 11

thx

Answer 12

Hold on...D is NOT correct...

\[3.06*10^{23} * 1.67*10^{-24} = 3.06*1.67*10^{23}*10^{-24} = 5.11*10^{23+(-24)} \]\[= 5.11*10^{-1} = 0.511\]