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 numbers in scientific notation, you multiply the coefficients (the numbers in front) and then add the exponents.

For the numbers you provided:

1. Coefficients: \( 5.5 \times 2.2 = 12.1 \)

2. Exponents: \( 10^{4} \times 10^{-8} = 10^{4 + (-8)} = 10^{-4} \)

Now, combining these results gives us:

\( 12.1 \times 10^{-4} \)

To express this in proper scientific notation, we need the coefficient to be between 1 and 10. So we adjust \( 12.1 \) to \( 1.21 \) and increase the exponent by 1:

\( 12.1 \times 10^{-4} = 1.21 \times 10^{-3} \)

Thus, the correct answer in scientific notation is:

1.21×10−3