Question

scientific notation of (5.5 x 10^4) x ( 2.2 x 10^-8)

Answer 1

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

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

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

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

Since we want the result in proper scientific notation, we need to express \(12.1\) as \(1.21 \times 10^1\) (because \(12.1\) is greater than \(10\)).

Now we can rewrite the expression:
\[
12.1 \times 10^{-4} = 1.21 \times 10^{1} \times 10^{-4} = 1.21 \times 10^{1 - 4} = 1.21 \times 10^{-3}
\]

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