7.) Eydy Neurons are cells in the nervous system that process and transmit information. An average neuron is about $$ 5 imes 10^{-6} $$ 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?

Question

7.) Eydy Neurons are cells in the nervous system that process and transmit information. An average neuron is about $$ 5 	imes 10^{-6} $$ 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?

UpStudy AI · Accepted Answer

**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.
The table tennis ball's diameter is about 8,000 times greater than the neuron's diameter.

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?

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