What is 5.5×104 multiplied by 2.2×10−8 ? Write the answer in scientific notation.(1 point) Responses 1.21×10−3 1.21 times 10 negative cubed 1.21×10−4 1.21 times 10 superscript negative 4 baseline 12.1×10−4 12.1 times 10 superscript negative 4 baseline 1.21×10−5

1 answer

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

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

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

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

Now, to express it in proper scientific notation, the coefficient should be between 1 and 10. Since \(12.1\) is not in that range, we can 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:

\[ \boxed{1.21 \times 10^{-3}} \]