Questions: Divide: 2.4 × 10^-9 / 6 × 10^-6. Enter your answer as an integer or a decimal.
Transcript text: Divide: $\frac{2.4 \times 10^{-9}}{6 \times 10^{-6}}$. Enter your answer as an integer or a decimal.
Solution
Solution Steps
To divide numbers in scientific notation, divide the coefficients (the numbers in front) and subtract the exponents of 10. In this case, divide 2.4 by 6 and subtract the exponent -9 from -6.
Step 1: Divide the Coefficients
To divide the numbers in scientific notation, first divide the coefficients:
\[
\frac{2.4}{6} = 0.4
\]
Step 2: Subtract the Exponents
Next, subtract the exponents of 10:
\[
-9 - (-6) = -3
\]
Step 3: Combine the Results
Combine the results from the previous steps to express the answer in scientific notation:
\[
0.4 \times 10^{-3}
\]
Step 4: Convert to Decimal Form
Convert the scientific notation to decimal form:
\[
0.4 \times 10^{-3} = 0.0004
\]