What is 5.5×104 multiplied by 2.2×10−8 ? Write the answer in scientific notation.

Answer 1

To multiply the numbers in scientific notation \( 5.5 \times 10^4 \) and \( 2.2 \times 10^{-8} \), follow these steps:

1. Multiply the coefficients: \[ 5.5 \times 2.2 = 12.1 \]

2. Add the exponents: \[ 10^{4 + (-8)} = 10^{-4} \]

3. Combine the results: \[ 12.1 \times 10^{-4} \]

4. Convert to proper scientific notation: Since 12.1 is not between 1 and 10, we need to adjust it: \[ 12.1 \times 10^{-4} = 1.21 \times 10^1 \times 10^{-4} = 1.21 \times 10^{-3} \]

So, the final answer in scientific notation is: \[ \boxed{1.21 \times 10^{-3}} \]