Question

8.03 X 10^-8. Show your work

Answer 1

To work with the number \( 8.03 \times 10^{-8} \), we can break it down into parts to understand what it represents.

1. **Understanding Scientific Notation**:
- The number \( 8.03 \) is the coefficient.
- The term \( 10^{-8} \) indicates the power of ten by which the coefficient is multiplied. A negative exponent indicates that the number should be divided by ten to the corresponding positive power.

2. **Calculating the Value**:
- To convert \( 8.03 \times 10^{-8} \) into standard decimal notation, we move the decimal point in \( 8.03 \) to the left by 8 places (because the exponent is \(-8\)).

3. **Performing the Calculation**:
- Start with \( 8.03 \).
- Move the decimal point left by 8 positions:
- Moving it 1 time: \( 0.803 \) (1 place)
- Moving it 2 times: \( 0.0803 \) (2 places)
- Moving it 3 times: \( 0.00803 \) (3 places)
- Moving it 4 times: \( 0.000803 \) (4 places)
- Moving it 5 times: \( 0.0000803 \) (5 places)
- Moving it 6 times: \( 0.00000803 \) (6 places)
- Moving it 7 times: \( 0.000000803 \) (7 places)
- Moving it 8 times: \( 0.0000000803 \) (8 places)

4. **Final Result**:
- Thus, \( 8.03 \times 10^{-8} \) in standard decimal form is \( 0.0000000803 \).

So, the value of \( 8.03 \times 10^{-8} \) is \( 0.0000000803 \).