Question

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

Answer 1

are you sure

Answer 2

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:**
\[
10^4 \times 10^{-8} = 10^{4 + (-8)} = 10^{-4}
\]

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

Now, when you express this in proper scientific notation, \(12.1\) is not between \(1\) and \(10\). Therefore, you need to 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:

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

The correct response is **1.21×10−3**.

Answer 3

Let's verify the calculation step-by-step again to ensure accuracy.

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

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

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

4. **Convert to proper scientific notation**:
- Since \(12.1\) is not between \(1\) and \(10\), we convert it:
\[
12.1 \times 10^{-4} = 1.21 \times 10^{1} \times 10^{-4} = 1.21 \times 10^{-3}
\]

Thus, the final result in scientific notation is indeed:

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

So the correct response is **1.21×10−3**. Thank you for your patience!