What is 5.5×104

Question

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

1.21×10−5
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 \(5.5 \times 10^4\) by \(2.2 \times 10^{-8}\), you can follow these steps:

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

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

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

To express this in proper scientific notation, we need the coefficient to be between 1 and 10. Therefore, we can rewrite \(12.1\) as \(1.21 \times 10^1\):

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

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