Question

8.03 X 10^-8. show the proccess

Answer 1

To show the process of calculating \(8.03 \times 10^{-8}\), we can break it down into the following steps:

1. **Understand the Number**: The notation \(8.03 \times 10^{-8}\) is in scientific notation, which is a way to express very large or very small numbers.

2. **Break Down the Components**:
- The number \(8.03\) is the significant figure (the part you would actually calculate with).
- The exponent \(10^{-8}\) indicates the number of places the decimal point in \(8.03\) should be moved.

3. **Move the Decimal Point**:
- The exponent \(-8\) means you need to move the decimal point 8 places to the left.
- Starting with \(8.03\), you can visualize it as \(8.03\) being \(8.03.0\), and you'll need to move left to create the decimal.

4. **Calculate the Position**:
- Starting from \(8.03\):
- Move 1 left: \(0.803\)
- Move 2 left: \(0.0803\)
- Move 3 left: \(0.00803\)
- Move 4 left: \(0.000803\)
- Move 5 left: \(0.0000803\)
- Move 6 left: \(0.00000803\)
- Move 7 left: \(0.000000803\)
- Move 8 left: \(0.0000000803\)

5. **Final Result**: After moving the decimal point 8 places to the left, we get:
\[
8.03 \times 10^{-8} = 0.0000000803
\]

So, the final answer is:
\[
0.0000000803
\]