To find the total length of the red blood cells laid end to end, we can use the following formula:
\[ \text{Total Length} = \text{Number of Red Blood Cells} \times \text{Diameter of One Red Blood Cell} \]
Given:
- Number of red blood cells = \(5.35 \times 10^{12}\)
- Diameter of one red blood cell = \(2.95 \times 10^{-4}\) inches
Now, we can calculate the total length as follows:
\[ \text{Total Length} = 5.35 \times 10^{12} \times 2.95 \times 10^{-4} \]
Now, perform the multiplication:
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Calculate \(5.35 \times 2.95\):
- \(5.35 \times 2.95 = 15.8225\)
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Combine the powers of 10:
- \(10^{12} \times 10^{-4} = 10^{12 - 4} = 10^{8}\)
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Therefore, the total length becomes: \[ \text{Total Length} = 15.8225 \times 10^{8} \text{ inches} \]
Converting \(15.8225\) into scientific notation: \[ 15.8225 = 1.58225 \times 10^{1} \]
Thus, updating the expression: \[ \text{Total Length} = 1.58225 \times 10^{1} \times 10^{8} = 1.58225 \times 10^{9} \text{ inches} \]
Rounding \(1.58225\) to three significant figures gives us approximately \(1.578 \times 10^{9}\).
So, the length of this chain of red blood cells is:
C. \(1.578 \times 10^{9}\) inches
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