Question

8.03*10^-8 - 2.56*10^-2
subtract the numbers show your work

Answer 1

To subtract the numbers \(8.03 \times 10^{-8}\) and \(2.56 \times 10^{-2}\), we first need to express them in the same power of ten.

### Step 1: Convert \(2.56 \times 10^{-2}\) to the same exponent as \(8.03 \times 10^{-8}\)

To convert \(2.56 \times 10^{-2}\) to an exponent of \(-8\), we can rewrite it:

\[
2.56 \times 10^{-2} = 2.56 \times 10^{-2 + 6} \times 10^{-6} = 2.56 \times 10^{4} \times 10^{-8}
\]

Calculating \(2.56 \times 10^{6}\):

\[
2.56 \times 10^{6} = 2560000
\]

So,

\[
2.56 \times 10^{-2} = 2.56 \times 10^{4} \times 10^{-8} = \frac{2560000}{100000000} = 0.0256 \times 10^{-8}
\]

### Step 2: Rewrite both numbers

Now we have:
- \(8.03 \times 10^{-8}\)
- \(0.0256 \times 10^{-8}\)

### Step 3: Subtract the two numbers

Now we can subtract the two numbers:

\[
8.03 \times 10^{-8} - 0.0256 \times 10^{-8} = (8.03 - 0.0256) \times 10^{-8}
\]

### Step 4: Perform the subtraction

Calculating the subtraction:

\[
8.03 - 0.0256 = 8.0044
\]

### Step 5: Combine the results

So we have:

\[
8.0044 \times 10^{-8}
\]

### Final Answer

The result of \(8.03 \times 10^{-8} - 2.56 \times 10^{-2}\) is:

\[
\boxed{8.0044 \times 10^{-8}}
\]