Question

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

1.21×10−3
1.21 times 10 negative cubed

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

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

1.21×10−5

Answer 1

To multiply \( 5.5 \times 10^4 \) by \( 2.2 \times 10^{-8} \), we can multiply the coefficients (the numbers in front) and then add the exponents of 10 (the powers of ten).

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, we need to express the answer in scientific notation. In scientific notation, the coefficient should be between 1 and 10. Therefore, we can rewrite \( 12.1 \) as \( 1.21 \times 10^1 \).

Putting this together:
\[
12.1 \times 10^{-4} = 1.21 \times 10^{1} \times 10^{-4} = 1.21 \times 10^{-3}
\]

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