wegwerfen
to throw away
To throw something that you no longer need or that is broken into the trash.
Diese alten Zeitungen kannst du wegwerfen.
You can throw away these old newspapers.

to throw away
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to throw away
To throw something that you no longer need or that is broken into the trash.
Diese alten Zeitungen kannst du wegwerfen.
You can throw away these old newspapers.

'Wegwerfen' (to throw away) is a separable verb. The prefix 'weg' comes at the end in main clauses. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er wirft die leere Flasche weg.
He throws the empty bottle away.
The verb consists of the directional particle 'weg' (away, off) and the verb 'werfen' (to throw). The literal meaning is therefore 'to throw something away from oneself.'
Bitte wirf deinen Abfall in den Mülleimer und nicht einfach auf die Straße weg.
Please throw your trash into the garbage can and not just onto the street.
You can recognize whether the verb is meant literally (disposing of trash) or figuratively (wasting something) from the object. If it is waste, the meaning is literal. If it is something valuable like a chance, money, or talent, the meaning is figurative.
Wirf die alten Zeitungen bitte weg.
Please throw away the old newspapers.
The idiom 'sich wegwerfen vor Lachen' (to die laughing) is a fixed reflexive construction. It means that someone is laughing extremely hard. The structure is always 'sich wegwerfen' followed by 'vor' and a noun in the dative.
Der Film war so komisch, ich habe mich weggeworfen vor Lachen.
The film was so funny, I died laughing.
to keep
'behalten' and 'wegwerfen' are opposites when it comes to objects. 'behalten' means that you continue to own or keep something. 'wegwerfen' means that you put something in the trash because you no longer need it or because it is broken. 'behalten' fits when something is still important or useful. 'wegwerfen' fits when it no longer has any value to you.

Nach dem Picknick wirft Paul die kaputte Flasche weg.
After the picnic, Paul throws the broken bottle away.
Frau Richter behält die Einkaufstasche, weil sie sie beim nächsten Mal wieder braucht.
Ms. Richter keeps the shopping bag because she will need it again next time.