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?

(1 point)
Responses

0.047 m
0.047 m

0.05 m
0.05 m

0.00047 m
0.00047 m

0.002 m

Answer 1

To find the difference in the diameters of the two cells, we need to perform the following calculations:

1. Cell P: \( 5.0 \times 10^{-4} , \text{m} \)
2. Cell Q: \( 3.0 \times 10^{-5} , \text{m} \)

Now, we'll subtract the diameter of Cell Q from Cell P:

\[ 5.0 \times 10^{-4} , \text{m} - 3.0 \times 10^{-5} , \text{m} \]

To perform the subtraction, we can express both numbers with the same exponent:

\[ 5.0 \times 10^{-4} = 5.0 \times 10^{-4} , \text{m} \]

\[ 3.0 \times 10^{-5} = 0.3 \times 10^{-4} , \text{m} \]

Now perform the subtraction:

\[ 5.0 \times 10^{-4} - 0.3 \times 10^{-4} = (5.0 - 0.3) \times 10^{-4} = 4.7 \times 10^{-4} , \text{m} \]

Converting \( 4.7 \times 10^{-4} , \text{m} \) into decimal form:

\[ 4.7 \times 10^{-4} = 0.00047 , \text{m} \]

So the difference in the diameters of the two cells is \( 0.00047 , \text{m} \).

The correct response is:

0.00047 m