Platelets and red blood cells are components of the blood. A typical platelet and red blood cell have diameters of approximately 2.33×10^−6

m and 0.0000075 m, respectively. Which blood component has a bigger diameter, and approximately by how much?(1 point)
Responses

A platelet has a bigger diameter than a red blood cell by 9.83×10−6
m.
A platelet has a bigger diameter than a red blood cell by 9.83 times 10 superscript negative 6 baseline m.

A red blood cell has a bigger diameter than a platelet by 9.83×10−6
m.
A red blood cell has a bigger diameter than a platelet by 9.83 times 10 superscript negative 6 baseline m.

A platelet has a bigger diameter than a red blood cell by 5.17×10−6
m.
A platelet has a bigger diameter than a red blood cell by 5.17 times 10 superscript negative 6 baseline m.

A red blood cell has a bigger diameter than a platelet by 5.17×10^−6
m.

1 answer

To determine which blood component has a bigger diameter, we need to compare the given diameters of the platelets and red blood cells.

  • Diameter of a typical platelet: \(2.33 \times 10^{-6} , \text{m}\)
  • Diameter of a typical red blood cell: \(0.0000075 , \text{m}\) or \(7.5 \times 10^{-6} , \text{m}\)

Now, let's compare the two:

  1. Convert both diameters to the same format for easier comparison:

    • Platelet: \(2.33 \times 10^{-6} , \text{m}\)
    • Red blood cell: \(7.5 \times 10^{-6} , \text{m}\)
  2. Since \(7.5 \times 10^{-6} , \text{m} > 2.33 \times 10^{-6} , \text{m}\), we can conclude that a red blood cell has a bigger diameter than a platelet.

  3. To find how much bigger the red blood cell is compared to the platelet, we subtract the diameter of the platelet from the diameter of the red blood cell:

\[ 7.5 \times 10^{-6} , \text{m} - 2.33 \times 10^{-6} , \text{m} = 5.17 \times 10^{-6} , \text{m} \]

Therefore, a red blood cell has a bigger diameter than a platelet by \(5.17 \times 10^{-6} , \text{m}\).

The correct response is: A red blood cell has a bigger diameter than a platelet by 5.17×10^−6 m.