Question

Calculate 4.8 times 10^-3 minus 9.4 times 20^-6 express the answer in scientific notation rounding to 2 decimal places

Answer 1

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

Let's rewrite \( 4.8 \times 10^{-3} \) in terms of \( 10^{-6} \):

\[
4.8 \times 10^{-3} = 4.8 \times 10^{-3} \times \frac{10^{3}}{10^{3}} = 4.8 \times 10^{3} \times 10^{-6} = 4.8 \times 1000 \times 10^{-6} = 4800 \times 10^{-6}
\]

Now we can subtract \( 9.4 \times 10^{-6} \) from \( 4800 \times 10^{-6} \):

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

Next, we convert \( 4790.6 \times 10^{-6} \) to scientific notation:

\[
4790.6 = 4.7906 \times 10^{3}
\]

Thus,

\[
4790.6 \times 10^{-6} = 4.7906 \times 10^{3} \times 10^{-6} = 4.7906 \times 10^{-3}
\]

Now we round this to 2 decimal places:

\[
4.7906 \approx 4.79
\]

Finally, the answer in scientific notation rounded to 2 decimal places is:

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