To find out how many neon tetras can be housed in the aquarium, we can use the following calculation:
- The total capacity of the aquarium is \( 1 \times 10^5 \) gallons.
- Each neon tetra requires 1.25 gallons of water.
To find the number of tetras that can be accommodated, we divide the total gallons by the gallons needed per tetra:
\[ \text{Number of tetras} = \frac{1 \times 10^5 \text{ gallons}}{1.25 \text{ gallons/tetra}} \]
Now, let's perform the division:
\[ \frac{1 \times 10^5}{1.25} = 0.8 \times 10^5 \]
To express \( 0.8 \times 10^5 \) in scientific notation, we can adjust it:
\[ 0.8 \times 10^5 = 8.0 \times 10^4 \]
Thus, the number of neon tetras the aquarium can house is
\[ \boxed{8.0 \times 10^4} \]