.002 - (2.17*10^-5)

To perform the subtraction \(0.002 - (2.17 \times 10^{-5})\), first, convert \(0.002\) to scientific notation:

\[ 0.002 = 2.0 \times 10^{-3} \]

Now we can rewrite the expression:

\[ 2.0 \times 10^{-3} - 2.17 \times 10^{-5} \]

Next, we need to express both terms with a common exponent. The larger exponent is \(-3\), so we need to convert \(2.17 \times 10^{-5}\) to have a base of \(10^{-3}\):

\[ 2.17 \times 10^{-5} = 2.17 \times 10^{-5} \times \frac{10^{-3}}{10^{-3}} = 2.17 \times 10^{-5 + 3} = 2.17 \times 10^{-2} \]

However, it will be easier to convert \(2.0 \times 10^{-3}\):

\[ 2.0 \times 10^{-3} = 2.0 \times 10^{-3} \times \frac{10^{-2}}{10^{-2}} = 2.0 \times 10^{-1} \times 0.1 = 0.2 \]

Now, make both numbers have the same exponent:

\[ 2.0 \times 10^{-3} = 20.0 \times 10^{-5} \]

Now we can subtract:

\[ 20.0 \times 10^{-5} - 2.17 \times 10^{-5} = (20.0 - 2.17) \times 10^{-5} = 17.83 \times 10^{-5} \]

Finally, convert back to standard form:

\[ 17.83 \times 10^{-5} = 1.783 \times 10^{-4} \]

Therefore, the result of \(0.002 - (2.17 \times 10^{-5})\) is:

\[ \boxed{1.783 \times 10^{-4}} \]