Question

Display the final answer in correct scientific notation and show correct number of significant figures in the final answer:

6.0223010000 x 10-24 x 2.222090001 x 10-30

I get this far and then get stuck:
13.3820948351123 x 10 -54

Answer 1

You have 11 significant figures in the 6.022 number and 10 in the other one. The rule in multiplication and division allows you to have the less of the two; therefore, count the first 10 digits in the answer and that x 10^-54 will be the number. The 11th number is a 5; I would round the 3 to a 4.

Answer 2

Thank you so much....I just wasn't sure if I needed to do one more step or not. So the significant figure in the answer would be 10 and the answer would be 13.38209484 x 10 -54!Correct?

Answer 3

That's what I think.