To divide the two numbers in scientific notation, you can use the following steps:
- Divide the coefficients (the numbers in front).
- Subtract the exponents of the base 10 parts.
Given:
\( 1.95 \times 10^6 \)
\( 8.03 \times 10^{-8} \)
Step 1: Divide the coefficients
\[ \frac{1.95}{8.03} \approx 0.243 \]
Step 2: Subtract the exponents
\[ 10^{6 - (-8)} = 10^{6 + 8} = 10^{14} \]
Step 3: Combine the results
Now, combine the coefficient with the power of 10:
\[ 0.243 \times 10^{14} \]
Step 4: Convert to standard scientific notation
Since \(0.243\) is not between \(1\) and \(10\), we need to adjust it: \[ 0.243 = 2.43 \times 10^{-1} \]
Then we adjust the exponent: \[ 0.243 \times 10^{14} = 2.43 \times 10^{-1} \times 10^{14} = 2.43 \times 10^{13} \]
Final Answer
\[ \frac{1.95 \times 10^6}{8.03 \times 10^{-8}} \approx 2.43 \times 10^{13} \]