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Question
think about the process. the length of cell a is 12 μm. the length of cell b is 0.000005 m. what is the ratio of cell as length to cell bs length? use pencil and paper. is it easier to find the ratio when the numbers are expressed in scientific - notation, standard - notation, or neither? explain your reasoning.
the ratio of cell as length to cell bs length is
(write the ratio as a simplified fraction).
Step1: Convert length of cell B to inches
We know that 1 inch = 2.54 cm. Length of cell B is 0.0000005 m. First convert to cm: 0.0000005 m = 0.00005 cm. Then convert to inches: $\frac{0.00005}{2.54}$ inches.
Step2: Length of cell A is 12 inches
Length of cell A is given as 12 inches.
Step3: Find the ratio
The ratio of cell A's length to cell B's length is $\frac{12}{\frac{0.00005}{2.54}}=\frac{12\times2.54}{0.00005}=\frac{30.48}{0.00005}=609600$. As a fraction in simplest form, it is $\frac{609600}{1}$.
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$\frac{609600}{1}$