What is 5.5×104 multiplied by 2.2×10−8 ? Write the answer in scientific notation.(1 point)

Question

Responses

1.21×10−4
1.21 times 10 superscript negative 4 baseline

1.21×10−5
1.21 times 10 superscript negative 5 baseline

1.21×10−3
1.21 times 10 negative cubed

12.1×10−4

Answer 1

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

1. Multiply the coefficients (the numbers in front): \[ 5.5 \times 2.2 = 12.1 \]

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

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

However, to write this in proper scientific notation, we need to ensure that the coefficient is between 1 and 10. Since \(12.1\) is not in that range, we can convert it: \[ 12.1 = 1.21 \times 10^1 \]

So, \[ 12.1 \times 10^{-4} = 1.21 \times 10^1 \times 10^{-4} = 1.21 \times 10^{-3} \]

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