Question

9.2 x 10^-5 + 5.8 x 10^-5 answer in scientific notation

Answer 1

To add the numbers in scientific notation, we first ensure they have the same exponent:

\(9.2 \times 10^{-5} + 5.8 \times 10^{-5}\)

Both numbers have the same exponent of \(10^{-5}\), so we can add the coefficients:

\[
9.2 + 5.8 = 15.0
\]

Now we can express this sum in scientific notation:

\[
15.0 \times 10^{-5}
\]

To convert \(15.0\) into proper scientific notation, we rewrite it as \(1.5 \times 10^{1}\):

\[
1.5 \times 10^{1} \times 10^{-5} = 1.5 \times 10^{1 - 5} = 1.5 \times 10^{-4}
\]

Thus, the final answer is:

\[
\boxed{1.5 \times 10^{-4}}
\]