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(Scientific Notation in the Real World MC)The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits. 1.4 x 101 7 x 101 143 x 101 7 x 103

Question

(Scientific Notation in the Real World MC)The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits. 1.4 x 101 7 x 101 143 x 101 7 x 103

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Solution

To find out how many times smaller the bacterial cell is than the amoeba cell, we need to divide the length of the amoeba cell by the length of the bacterial cell.

So, we have:

(3.5 x 10^-4 m) / (5 x 10^-6 m)

This simplifies to:

7 x 10^1

So, the bacterial cell is 70 times smaller than the amoeba cell. Therefore, the answer is 7 x 10^1.

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