1.95*10^6 8.03*10^-8

divide the numbers above show your work below

1 answer

To divide the two numbers in scientific notation, you can use the following steps:

  1. Divide the coefficients (the numbers in front).
  2. 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

\[ \frac{1.95 \times 10^6}{8.03 \times 10^{-8}} \approx 2.43 \times 10^{13} \]