Question

Subtract. Write your answer in scientific notation.
(3×105)–(6×103)

Answer 1

To subtract \( (3 \times 10^5) - (6 \times 10^3) \), we first need to express both numbers with the same exponent.

The term \( 3 \times 10^5 \) can remain as it is, while we need to convert \( 6 \times 10^3 \) to have an exponent of \( 10^5 \):

\[
6 \times 10^3 = 6 \times 10^{3} \times \frac{10^2}{10^2} = 6 \times 10^{5} \times \frac{1}{100} = 0.06 \times 10^5
\]

Now, we can rewrite the subtraction:

\[
(3 \times 10^5) - (0.06 \times 10^5) = (3 - 0.06) \times 10^5
\]

Calculating the subtraction:

\[
3 - 0.06 = 2.94
\]

Now, we can express our result:

\[
2.94 \times 10^5
\]

This number is already in scientific notation.

Thus, the final result is:

\[
\boxed{2.94 \times 10^5}
\]