Answer:
d) [tex]4\cdot 10^{6}[/tex] times
Step-by-step explanation:
Scientific Notation
We are given two quantities and we must find the ratio between them and use scientific notation.
The diameter of a pearl is about
[tex]4\cdot 10^{-3}\ cm[/tex]
Converting to meters, we divide by 100
[tex]4\cdot 10^{-3} / 100 = 4\cdot 10^{-5}\ m[/tex]
The diameter of an atom is about
[tex]10^{-11}\ m[/tex]
The ratio between both diameters is:
[tex]\displaystyle \frac{4\cdot 10^{-5}\ m}{10^{-11}\ m}= 4\cdot 10^{-5+11}=4\cdot 10^{6}[/tex]
Answer: d) [tex]\mathbf{4\cdot 10^{6}}[/tex] times
