Question

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 1.21×10−5 1.21 times 10 superscript negative 5 baseline 12.1×10−4 12.1 times 10 superscript negative 4 baseline 1.21×10−4

Answer 1

To multiply the numbers in scientific notation, you follow these steps:

1. Multiply the coefficients (the numbers in front).
2. Add the exponents of the powers of 10.

Given:
\[ 5.5 \times 10^4 \]
\[ 2.2 \times 10^{-8} \]

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

Step 2: Add the exponents:
\[ 4 + (-8) = -4 \]

Now combine the results:
\[ 12.1 \times 10^{-4} \]

Next, convert it into proper scientific notation: Since scientific notation requires the coefficient to be between 1 and 10, we need to adjust \( 12.1 \):
\[ 12.1 = 1.21 \times 10^1 \]

So, we adjust the expression:
\[ 12.1 \times 10^{-4} = 1.21 \times 10^1 \times 10^{-4} = 1.21 \times 10^{-3} \]

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

Thus, the correct response is:
**1.21×10−3**.