
schätzen
to estimate
To give an approximate statement about a size, value, or amount without measuring it exactly.
Ich schätze, die Reparatur wird etwa 200 Euro kosten.
I estimate the repair will cost about 200 euros.
to estimate / appreciate
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to estimate
To give an approximate statement about a size, value, or amount without measuring it exactly.
Ich schätze, die Reparatur wird etwa 200 Euro kosten.
I estimate the repair will cost about 200 euros.

to appreciate
To value, respect, or hold someone or something in high regard.
Ich schätze deine ehrliche Meinung sehr, auch wenn ich nicht immer zustimme.
I really appreciate your honest opinion, even if I don't always agree.

to guess
To make an assumption about something; to believe or think.
Ich schätze, er kommt heute nicht mehr ins Büro.
I guess he won't come to the office anymore today.
The verb 'schätzen' (to estimate/appreciate) is related to the noun 'der Schatz' (treasure). It describes the act of determining or recognizing the value of something.
Ein Experte schätzte den Wert des Gemäldes.
An expert estimated the value of the painting.
When estimating a value or amount, the preposition 'auf' followed by the accusative is often used to indicate the result of the estimate.
Der Polizist schätzte die Geschwindigkeit des Autos auf 100 km/h.
The police officer estimated the car's speed at 100 km/h.
In the meaning 'wertschätzen' (to appreciate/value), 'schätzen' usually refers to people or to abstract things like 'Hilfe' (help), 'Ehrlichkeit' (honesty), 'Freundschaft' (friendship), or 'Meinung' (opinion).
Ich schätze es sehr, dass du immer für mich da bist.
I really appreciate that you are always there for me.
In the meaning 'vermuten' (to assume) or 'glauben' (to believe), 'schätzen' is typically followed by a subordinate clause, often with the conjunction 'dass' (that).
Ich schätze, dass der Zug Verspätung hat.
I guess that the train is delayed.
to think / mean
Meinen expresses a personal opinion or belief. Schätzen can also introduce an assumption, but it more strongly indicates that the assumption is uncertain and based on an approximate assessment. Meinen fits expressing your own position, while schätzen is more suitable for a cautious guess.

Ich schätze, dass der neue Arbeitsplan unserem Team etwas Zeit sparen wird.
I estimate that the new work schedule will save our team some time.
Ich meine, dass der neue Arbeitsplan für unser Team besser ist.
I think the new work schedule is better for our team.