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

Question

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

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

Answer 1

To compare the diameters of platelets and red blood cells, let's first convert both diameters into the same format for easy comparison.

The diameter of a platelet is given as \(2.33 \times 10^{-6} , \text{m}\).

The diameter of a red blood cell is given as \(0.0000075 , \text{m}\), which can be expressed in scientific notation as: \[ 0.0000075 , \text{m} = 7.5 \times 10^{-6} , \text{m} \]

Now we can compare the two:

• Platelet: \(2.33 \times 10^{-6} , \text{m}\)
• Red blood cell: \(7.5 \times 10^{-6} , \text{m}\)

Since \(7.5 \times 10^{-6} , \text{m} > 2.33 \times 10^{-6} , \text{m}\), the red blood cell has a larger diameter.

Now to find out by how much larger the red blood cell is in diameter compared to the platelet, we can subtract the diameter of the platelet from the diameter of the red blood cell: \[ 7.5 \times 10^{-6} , \text{m} - 2.33 \times 10^{-6} , \text{m} = (7.5 - 2.33) \times 10^{-6} , \text{m} = 5.17 \times 10^{-6} , \text{m} \]

Thus, we conclude that: A red blood cell has a bigger diameter than a platelet by \(5.17 \times 10^{-6} , \text{m}\).