To find out how many neon tetras the aquarium can house, you can divide the total gallons of water by the amount of water each tetra needs.
The aquarium holds \(1 \times 10^5\) gallons of water, and each neon tetra requires \(1.25\) gallons.
Calculating the number of tetras:
\[ \text{Number of tetras} = \frac{1 \times 10^5 \text{ gallons}}{1.25 \text{ gallons/tetra}} \]
Now calculate:
\[ \text{Number of tetras} = 1 \times 10^5 \div 1.25 \]
To perform the division, first convert \(1.25\) into a fraction. \(1.25 = \frac{5}{4}\), so dividing by \(1.25\) is equivalent to multiplying by \(\frac{4}{5}\):
\[ \text{Number of tetras} = 1 \times 10^5 \times \frac{4}{5} \]
Calculating this gives:
\[ \text{Number of tetras} = \frac{4 \times 10^5}{5} = 0.8 \times 10^5 \]
Now, convert this into scientific notation.
To express \(0.8 \times 10^5\) in proper scientific notation, we can rewrite it as:
\[ 8.0 \times 10^4 \]
Thus, the aquarium can house \(8.0 \times 10^4\) neon tetras.