Pregunta
7.) Eydy Neurons are cells in the nervous system that process and transmit information. An average neuron is about \( 5 \times 10^{-6} \) meter in diameter. A standard table tennis ball is 0.04 meter in diameter. About how many times as great is the diameter of a ball than a neuron?
Ask by Byrd Herrera. in the United States
Mar 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The table tennis ball's diameter is about 8,000 times greater than the neuron's diameter.
Solución
**Step 1:**
Write down the diameters of the neuron and the table tennis ball:
- Neuron diameter: \( 5 \times 10^{-6} \) meter
- Ball diameter: \( 0.04 \) meter
**Step 2:**
Set up the ratio of the ball's diameter to the neuron's diameter:
\[
\text{Ratio} = \frac{0.04}{5 \times 10^{-6}}
\]
**Step 3:**
Express \(0.04\) in scientific notation:
\[
0.04 = 4 \times 10^{-2}
\]
**Step 4:**
Substitute the scientific notation into the ratio:
\[
\text{Ratio} = \frac{4 \times 10^{-2}}{5 \times 10^{-6}}
\]
**Step 5:**
Divide the constants and subtract the exponents:
\[
\text{Ratio} = \frac{4}{5} \times 10^{-2 - (-6)} = \frac{4}{5} \times 10^4
\]
**Step 6:**
Simplify the constant:
\[
\frac{4}{5} = 0.8
\]
**Step 7:**
Multiply:
\[
0.8 \times 10^4 = 8000
\]
**Final Answer:**
The table tennis ball's diameter is about \( 8000 \) times greater than the neuron's diameter.
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Bonus Knowledge
To find how many times greater the diameter of a standard table tennis ball (0.04 meter) is than that of an Eydy neuron (\(5 \times 10^{-6}\) meter), we can divide the diameter of the ball by the diameter of the neuron. So, \( \frac{0.04}{5 \times 10^{-6}} = \frac{0.04}{0.000005} = 8000 \). Therefore, the diameter of a table tennis ball is about 8000 times greater than that of an Eydy neuron! Isn't it fascinating how something so small, like a neuron, plays such a crucial role in our nervous system while being dwarfed by everyday objects?

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