Η κάρτα μνήμης είναι γεμάτη.

Word by word, it is:

• Η = the
• κάρτα = card
• μνήμης = of memory
• είναι = is
• γεμάτη = full (feminine singular)

So the structure is literally The card of memory is full, which is how Greek expresses The memory card is full.

Because μνήμης is the genitive singular form of μνήμη.

Greek often uses noun + genitive where English uses a compound noun. So:

• κάρτα μνήμης = literally card of memory
• natural English = memory card

This is a very common Greek pattern. A native English speaker may expect something like memory card with two nouns side by side, but Greek usually marks that relationship with the genitive.

Because it agrees with κάρτα, and κάρτα is a feminine noun.

The dictionary form of the adjective is γεμάτος = full. Its main forms are:

• γεμάτος = masculine
• γεμάτη = feminine
• γεμάτο = neuter

Since η κάρτα is feminine singular, the adjective must also be feminine singular:

• Η κάρτα είναι γεμάτη.

This kind of agreement is very important in Greek.

Η is the feminine singular nominative form of the.

It matches κάρτα, which is feminine singular and is the subject of the sentence.

So:

• η κάρτα = the card

If the noun were masculine or neuter, the article would change:

• ο for masculine
• το for neuter

Greek articles must agree with the noun in gender, number, and case.

A simple English-style approximation is:

ee KAR-ta MNI-mis EE-ne ye-MA-tee

A few helpful notes:

• Η sounds like ee
• κάρτα is stressed on KAR
• μνήμης is stressed on MNI
• είναι is usually pronounced roughly EE-ne
• γεμάτη is stressed on MA
• the γ in γεμάτη sounds somewhat like y in yes, but softer and more Greek

The written accents show where the stress goes:

• κάρτα
• μνήμης
• είναι
• γεμάτη

είναι is the third person singular present form of είμαι, which means to be.

So here it means is:

• Η κάρτα μνήμης είναι γεμάτη.
• The memory card is full.

This is a standard subject + verb + adjective sentence.

The given order is the most neutral and standard one:

• Η κάρτα μνήμης είναι γεμάτη.

Greek word order is more flexible than English, so other orders are possible for emphasis, for example:

• Γεμάτη είναι η κάρτα μνήμης.

That still means the same thing, but it emphasizes γεμάτη.

For a learner, though, the original sentence is the safest and most natural version to use.

Because Greek usually does not turn a noun into a noun modifier in the same way English does.

English can say:

• memory card
• phone battery
• computer screen

Greek often prefers:

• κάρτα μνήμης = card of memory
• similar patterns with a second noun in the genitive

So instead of thinking memory is acting like an adjective here, it is better to think of μνήμης as a noun in the genitive that describes what kind of card it is.

Yes. The adjective must agree with the noun.

Examples:

• Η κάρτα μνήμης είναι γεμάτη.
  feminine singular

• Το κουτί είναι γεμάτο.
  neuter singular

• Ο σάκος είναι γεμάτος.
  masculine singular

• Οι κάρτες μνήμης είναι γεμάτες.
  feminine plural

So when you learn γεμάτη here, it is useful to remember that it is just one form of the adjective γεμάτος.