We do many tasks on a daily basis without even thinking about – or decomposing – them, such as brushing our teeth.
To decompose the problem of how to brush our teeth, we would need to consider:
It is only normally when we are asked to do a new or more complex task that we start to think about it in detail – to decompose the task.
Imagine that a crime has been committed. Solving a crime can be a very complex problem as there are many things to consider.
For example, a police officer would need to know the answer to a series of smaller problems:
The complex problem of the committed crime has now been broken down into simpler problems that can be examined individually, in detail.