To multiply the numbers in scientific notation, you can follow these steps:
- Multiply the coefficients: \(5.5 \times 2.2\).
- Add the exponents: \(10^4 \times 10^{-8} = 10^{4 + (-8)} = 10^{-4}\).
Now, let's perform the multiplication of the coefficients:
\[ 5.5 \times 2.2 = 12.1 \]
So, the multiplication gives us:
\[ 12.1 \times 10^{-4} \]
Next, we need to express this in proper scientific notation. In scientific notation, the coefficient should be between 1 and 10. Since \(12.1\) is not in this range, we convert it by adjusting the coefficient and the exponent:
\[ 12.1 \times 10^{-4} = 1.21 \times 10^{1} \times 10^{-4} = 1.21 \times 10^{-3} \]
Thus, the final result in scientific notation is:
\[ 1.21 \times 10^{-3} \]
The correct answer is:
1.21×10^−3.