Die Information ist wertvoll.

Because Information is a feminine noun in German, so its definite article in the nominative singular is die.

A very useful pattern: many German nouns ending in -ion are feminine, for example:

• die Nation
• die Situation
• die Diskussion
• die Information

So when you learn a noun like Information, it is best to learn it together with its article: die Information.

It is in the nominative case because it is the subject of the sentence — the thing being described.

In Die Information ist wertvoll, the structure is:

• Die Information = the subject
• ist = the verb
• wertvoll = the description

So the noun phrase uses the nominative form: die Information.

Ist is the third-person singular present form of sein, which means to be.

So:

• ich bin = I am
• du bist = you are
• er/sie/es ist = he/she/it is

Since die Information is singular, German uses ist:

• Die Information ist wertvoll.

If the subject were plural, you would use sind:

• Die Informationen sind wertvoll.

Because this is a normal German main clause, and in German main clauses the finite verb usually comes in second position.

So the pattern here is:

• Die Information = position 1
• ist = position 2
• wertvoll = rest of the sentence

This is one of the most important German word-order rules: verb second in main clauses.

Because wertvoll is a predicate adjective here — it comes after the verb sein.

In German, adjectives used after verbs like sein, werden, and bleiben do not take adjective endings.

Compare:

• Die Information ist wertvoll.
  Here wertvoll has no ending because it comes after ist.

• die wertvolle Information
  Here wertvolle comes before the noun, so it does take an ending.

This is a very common difference in German.

Yes. German Information can definitely be singular.

That is one difference from English: German often allows Information to mean a piece of information or information in a more countable way.

So these are both possible:

• die Information = the information / the piece of information
• die Informationen = the information items / pieces of information

English learners often notice this because English usually does not say an information, but German can use eine Information in some contexts.

Yes, but it changes the feel of the sentence.

• Die Information ist wertvoll. = The information is valuable.
  This usually refers to specific information.

• Information ist wertvoll. = Information is valuable.
  This sounds more general or abstract.

So the version with die sounds more like you are talking about a particular piece or body of information, while the version without the article sounds more like a general statement.

In German, all nouns are capitalized, not just proper names.

So:

• Information is a noun, so it is capitalized.
• wertvoll is an adjective, so it is normally not capitalized.

This is a basic spelling rule in German and one of the first things learners notice.

The plural is Informationen.

So:

• die Information = the information / the piece of information
• die Informationen = the pieces of information / the information

Example:

• Die Informationen sind wertvoll. = The information / pieces of information are valuable.

Here wertvoll means valuable and describes the subject die Information.

It is an adjective made from:

• Wert = value, worth
• -voll = full of

So historically it has the sense of full of value, though in normal modern usage you should simply understand it as valuable.

In this sentence, it functions as the description after ist:

• Die Information ist wertvoll.

A rough pronunciation guide is:

dee in-for-ma-tsi-OHN ist VAIRT-foll

A few helpful points:

• die sounds roughly like dee
• Information has stress near the end: informaTSIÓn
• w in German sounds like English v
• wert begins with a v sound, not an English w sound
• voll has a short o

So wertvoll sounds roughly like VAIRT-foll.

Yes. Die Info is a very common shortened form of die Information.

So these both work:

• Die Information ist wertvoll.
• Die Info ist wertvoll.

The difference is mostly in style:

• Information sounds more formal or neutral
• Info sounds more everyday and conversational