Question

Question
Calculate 4.8×10−3−9.4×10−6 . Express the answer in scientific notation rounding to 2 decimal places.(1 point)

Answer 1

To calculate \( 4.8 \times 10^{-3} - 9.4 \times 10^{-6} \), we first need to express both numbers with the same exponent.

We can convert \( 4.8 \times 10^{-3} \) to \( 4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{1000}{1000} = 4800 \times 10^{-6} \).

Now we can rewrite the expression:

\[
4800 \times 10^{-6} - 9.4 \times 10^{-6}
\]

Now we perform the subtraction:

\[
(4800 - 9.4) \times 10^{-6} = 4790.6 \times 10^{-6}
\]

Next, we express \( 4790.6 \) in scientific notation.

To convert \( 4790.6 \) to scientific notation, we can write it as:

\[
4.7906 \times 10^{3}
\]

So now we combine this with \( 10^{-6} \):

\[
4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3}
\]

Finally, rounding to 2 decimal places gives:

\[
4.79 \times 10^{-3}
\]

Thus, the final answer is:

\[
\boxed{4.79 \times 10^{-3}}
\]