Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed.

Question

Cell P:   5.0×10^−4
m

Cell Q:   3.0×10^−5
 m

 
What is the difference in the diameters of the two cells?

(2 points)
Responses

0.047 m    
0.047 m    

0.002 m
0.002 m

0.05 m 
0.05 m 

0.00047 m
0.00047 m
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Answer 1

To find the difference in the diameters of the two cells, we can subtract the diameter of Cell Q from the diameter of Cell P.

Given:

• Diameter of Cell P: \(5.0 \times 10^{-4} , \text{m}\)
• Diameter of Cell Q: \(3.0 \times 10^{-5} , \text{m}\)

Now, we will convert \(3.0 \times 10^{-5} , \text{m}\) to the same power of ten as \(5.0 \times 10^{-4} , \text{m}\):

1. Convert \(3.0 \times 10^{-5} , \text{m}\): \[ 3.0 \times 10^{-5} , \text{m} = 0.3 \times 10^{-4} , \text{m} \]

2. Now, subtract the two cell diameters: \[ 5.0 \times 10^{-4} , \text{m} - 0.3 \times 10^{-4} , \text{m} = (5.0 - 0.3) \times 10^{-4} , \text{m} = 4.7 \times 10^{-4} , \text{m} \]

Thus, the difference in diameters of the two cells is: \[ 4.7 \times 10^{-4} , \text{m} = 0.00047 , \text{m} \]

The correct response is: 0.00047 m.