```
Work = Force × Distance
```
In this case, the force is 800.0 N and the distance is 1.5 m.
Plugging these values into the formula, we get:
```
Work = 800.0 N × 1.5 m
```
```
Work = 1200.0 N⋅m
```
Therefore, the work done when the force of 800.0 N is exerted while pushing the crate across the level floor for a distance of 1.5 m is 1200.0 N⋅m.