Anna651
Answered

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The diameter of a pearl is about 4 x 10-3cm and the diameter of an atom is about10-11m. How much larger than an atom is a pearl?Show your work.
a)14x 10∧-14times b) 4 x 10 ∧-14timesc) 14x 10∧-11times d) 4 x 10∧6times

Sagot :

elcharly64

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

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