Question

.002 - (2.17*10^-5) in scientific notation

Answer 1

To express \( 0.002 - (2.17 \times 10^{-5}) \) in scientific notation, we first convert all terms to the same exponent where possible.

1. Convert \( 0.002 \) to scientific notation:
\[
0.002 = 2.0 \times 10^{-3}
\]

2. Now we need to align both terms. We can express \( 2.0 \times 10^{-3} \) with the same exponent as \( 2.17 \times 10^{-5} \):
\[
2.0 \times 10^{-3} = 2.0 \times 10^{-3} \times \frac{100}{100} = 200 \times 10^{-5}
\]

3. Now, subtract the two terms:
\[
200 \times 10^{-5} - 2.17 \times 10^{-5} = (200 - 2.17) \times 10^{-5} = 197.83 \times 10^{-5}
\]

4. Finally, we convert \( 197.83 \times 10^{-5} \) into proper scientific notation:
\[
197.83 \times 10^{-5} = 1.9783 \times 10^{-3}
\]

So, the result of \( 0.002 - (2.17 \times 10^{-5}) \) in scientific notation is:
\[
\boxed{1.9783 \times 10^{-3}}
\]