Questions: Divide: 2.4 × 10^-9 / 6 × 10^-6. Enter your answer as an integer or a decimal.

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.
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Solution

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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:
\[ 0.4 \times 10^{-3} = 0.0004 \]

Final Answer

\[ \boxed{0.0004} \]

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