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 in terms of the same power of ten.

Let's convert \( 4.8 \times 10^{-3} \) into \( 10^{-6} \):
\[
4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{1000}{1000} = 4.8 \times 10^{3} \times 10^{-6} = 4800 \times 10^{-6}
\]

Now we can subtract:
\[
4800 \times 10^{-6} - 9.4 \times 10^{-6} = (4800 - 9.4) \times 10^{-6} = 4790.6 \times 10^{-6}
\]

Finally, we express \( 4790.6 \times 10^{-6} \) in scientific notation. To do this, we can write \( 4790.6 \) in standard form:
\[
4790.6 = 4.7906 \times 10^{3}
\]
Thus:
\[
4790.6 \times 10^{-6} = 4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3}
\]

Now, rounding \( 4.7906 \) to two decimal places:
\[
4.7906 \approx 4.79
\]

So, the final answer in scientific notation is:
\[
\boxed{4.79 \times 10^{-3}}
\]