der Stellenwert
importance
The significance, importance, or rank that a person, thing, or concept has within a particular system or context.
Familie hat für mich einen hohen Stellenwert.
Family has great importance for me.

importance / place value
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importance
The significance, importance, or rank that a person, thing, or concept has within a particular system or context.
Familie hat für mich einen hohen Stellenwert.
Family has great importance for me.

The word is made up of 'Stelle' (position) and 'Wert' (value). So it literally describes the value that something receives through its position or place in a system.
Der Stellenwert von Umweltschutz in der Politik hat zugenommen.
The importance of environmental protection in politics has increased.
'Stellenwert' (importance) is most commonly used with the verb 'haben' (to have). Typical phrases are 'einen hohen/niedrigen Stellenwert haben' (to have high/low importance), 'einen besonderen Stellenwert genießen' (to enjoy special importance), or 'jemandem einen Stellenwert beimessen' (to attach importance to something).
Pünktlichkeit hat in der deutschen Arbeitskultur einen hohen Stellenwert.
Punctuality has great importance in German work culture.
The mathematical meaning of 'Stellenwert' (place value) is used exclusively in the context of numbers and arithmetic. In all other cases, the general meaning of 'importance' or 'rank' is meant.
Erklären Sie den Stellenwert der Ziffer 5 in der Zahl 759.
Explain the place value of the digit 5 in the number 759.
value
'der Wert' and 'der Stellenwert' both have to do with importance. 'der Wert' can generally say that something is important, right, or valuable. 'der Stellenwert' says more specifically what rank or significance something has in a particular context. The words can be confused because both sound like they are about importance. However, 'Stellenwert' usually needs a context: in the family, at school, in a company, or in a society. If you are speaking generally about importance, 'Wert' often fits. If you mean the role within a system, 'Stellenwert' fits better.

In diesem Kurs hat mündliches Üben einen hohen Stellenwert.
In this course, oral practice has a high level of importance.
Meine Schwester legt großen Wert auf pünktliche Antworten.
My sister places great value on prompt replies.