Question 5.6.9: Dividing Numbers Using Scientific Notation Divide 0.00000000......
Dividing Numbers Using Scientific Notation
Divide \frac{0.000000000048}{24,000,000,000}. Write the answer in scientific notation.
Step-by-Step
First write each number in scientific notation.
\frac{0.000000000048}{24,000,000,000} = \frac{4.8 × 10^{-11}}{2.4 × 10^{10}} = \left ( \begin{matrix} \frac{4.8}{2.4} \end{matrix} \right ) \left ( \begin{matrix} \frac{10^{-11}}{10^{10}} \end{matrix} \right )
= 2.0 × 10^{-11-10}
= 2.0 × 10^{-21}
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