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)

Question

Responses

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 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 5.17×10−6 m.

Answer 1

To determine which blood component has a bigger diameter, let's first convert the diameters into the same format for easier comparison:

• Diameter of a platelet: \( 2.33 \times 10^{-6} \) m
• Diameter of a red blood cell: \( 0.0000075 \) m, which can be expressed as \( 7.5 \times 10^{-6} \) m.

Now, let's compare the two diameters:

1. Red blood cell diameter: \( 7.5 \times 10^{-6} \) m
2. Platelet diameter: \( 2.33 \times 10^{-6} \) m

Now, it’s clear that:

\[ 7.5 \times 10^{-6} \text{ m} > 2.33 \times 10^{-6} \text{ m} \]

Next, we find the difference in diameter:

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

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

Thus, the correct response is:

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