Question

What is 5.5×10^4
multiplied by 2.2×10^−8
? Write the answer in scientific notation.(1 point)
Responses

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

1.21×10−3
1.21 times 10 negative cubed

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

12.1×10−4
12.1 times 10 superscript negative 4 baseline
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Answer 1

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

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

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

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

4. **Convert to proper scientific notation**:
In scientific notation, we typically want the coefficient to be between 1 and 10. Therefore, we convert \( 12.1 \) to \( 1.21 \) and adjust the exponent accordingly:
\[
12.1 \times 10^{-4} = 1.21 \times 10^{(-4 + 1)} = 1.21 \times 10^{-3}
\]

The final answer in scientific notation is:
\[
\text{1.21} \times 10^{-3}
\]

So the correct response is:
**1.21×10^{-3}**.