Question

8.03 x 10^8 2.56 x 10^2
subtract the numbers above

Answer 1

To subtract the numbers \(8.03 \times 10^8\) and \(2.56 \times 10^2\), we first need to express both numbers in scientific notation with the same exponent.

1. Convert \(2.56 \times 10^2\) to have an exponent of \(10^8\):
\[
2.56 \times 10^2 = 2.56 \times 10^2 \cdot \frac{10^6}{10^6} = 2.56 \times 10^8 \times 10^{-6} = 0.0000256 \times 10^8
\]

2. Now we can rewrite both numbers:
\[
8.03 \times 10^8 - 0.0000256 \times 10^8
\]

3. Since both numbers now have the same exponent, we can subtract the coefficients:
\[
(8.03 - 0.0000256) \times 10^8 = 8.0299744 \times 10^8
\]

4. Lastly, we can express this in scientific notation:
\[
8.03 \times 10^8 \text{ (the result is already in scientific notation)}
\]

So the result of the subtraction is:
\[
8.0299744 \times 10^8
\]

If you prefer, you can round it to three significant figures:
\[
**8.03 \times 10^8**
\]

### Final Result:
\[
8.03 \times 10^8
\]