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
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.
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?
That's what I think.
To display the final answer in the correct scientific notation and include the correct number of significant figures, follow these steps:
1. Multiply the coefficients: 6.0223010000 x 2.222090001 = 13.382096914512301
2. Add the exponents of the powers of 10: -24 + -30 = -54
3. Write down the coefficient rounded to the appropriate number of significant figures. In this case, both initial values have 10 significant figures, so the final result should also have 10 significant figures. Therefore, round the coefficient to 10 significant figures: 13.3820969145
4. Finally, combine the rounded coefficient with the power of 10 in scientific notation: 13.3820969145 x 10^-54.
The final answer, displayed in the correct scientific notation and with the correct number of significant figures, is 13.3820969145 x 10^-54.