(8.03 × 10^ -8) x (2.56 × 10 ^-2)

Answer 1

To multiply the two numbers in scientific notation, you can follow these steps:

1. Multiply the coefficients: \[ 8.03 \times 2.56 = 20.5588 \]

2. Add the exponents: \[ (-8) + (-2) = -10 \]

3. Combine the results: \[ 20.5588 \times 10^{-10} \]

4. Convert to proper scientific notation: In scientific notation, you want the coefficient to be between 1 and 10. Since \(20.5588\) is not in that range, we need to adjust: \[ 20.5588 = 2.05588 \times 10^1 \] So, \[ 20.5588 \times 10^{-10} = 2.05588 \times 10^{-9} \]

Therefore, the final result is: \[ \mathbf{2.06 \times 10^{-9}} \quad (\text{rounded to 3 significant figures}) \]

Answer 2

write in a better from

Answer 3

Certainly! Let's write the multiplication and the final result in a clearer format:

To calculate \((8.03 \times 10^{-8}) \times (2.56 \times 10^{-2})\):

1. Multiply the coefficients: \[ 8.03 \times 2.56 = 20.5588 \]

2. Add the exponents: \[ (-8) + (-2) = -10 \]

3. Combine the results: \[ 20.5588 \times 10^{-10} \]

4. Convert to proper scientific notation: To express \(20.5588\) in scientific notation, we have: \[ 20.5588 = 2.05588 \times 10^{1} \] Thus, \[ 20.5588 \times 10^{-10} = 2.05588 \times 10^{1} \times 10^{-10} = 2.05588 \times 10^{-9} \]

5. Final Result: \[ \mathbf{2.06 \times 10^{-9}} \quad \text{(rounded to three significant figures)} \]

So, the answer is \(2.06 \times 10^{-9}\).