לעבודה הזאת יש ערך.

Yes, ל־ usually means to or for, so לעבודה literally looks like to the work.

In this sentence, though, Hebrew uses a very common pattern:

ל־... יש ... = ... has ... / there is ... for ...

So:

• לעבודה הזאת = for this work
• יש ערך = there is value

Put together, the sentence means something like:

• This work has value
• There is value in this work
• This work is worthwhile

This is one of the main ways Hebrew expresses possession or relevance.

יש means there is or there are, and very often it is also used for has/have constructions.

For example:

• יש ספר = There is a book
• יש לי ספר = I have a book
  Literally: There is a book to me

So in your sentence:

• לעבודה הזאת יש ערך
  Literally: To this work there is value

That is just Hebrew’s way of saying This work has value.

In Hebrew, demonstratives like this and that usually come after the noun, not before it.

So:

• העבודה הזאת = this work
• הספר הזה = this book
• הילדה הזאת = this girl

This is normal Hebrew word order.

A key thing to notice is that both parts are definite:

• העבודה = the work
• הזאת = this

So Hebrew literally builds it as the work this, but the meaning is simply this work.

Because עבודה is a feminine singular noun.

Hebrew demonstratives must agree with the noun in gender and number:

• masculine singular: הזה = this
• feminine singular: הזאת = this

So:

• הספר הזה = this book
• העבודה הזאת = this work

Since עבודה is feminine, הזאת is the correct form.

That is how standard Hebrew forms this/that + noun.

With a definite noun, both the noun and the demonstrative are marked as definite:

• העבודה הזאת = this work
• הילד הזה = this boy
• המכונית הזאת = this car

So the double ה־ is normal here.

In modern spoken Hebrew, you may also hear shorter colloquial forms like:

• העבודה הזו

That means the same thing as העבודה הזאת.

Because the sentence is talking about value in a general sense, not the value as a specific, already identified thing.

So:

• יש ערך = there is value
• יש משמעות = there is meaning
• יש חשיבות = there is importance

If you said הערך, that would usually mean the value, which sounds more specific and would need more context.

Here, ערך is indefinite and abstract, which fits the meaning has value or is valuable.

In a way, yes—from an English point of view.

Hebrew usually does not use a present-tense form of to be in simple sentences. So where English says:

• This work is important
• This work is valuable

Hebrew often simply says the sentence without a present-tense is.

In your sentence, however, the main structure is not exactly X is Y, but rather:

• ל־X יש Y = X has Y

So the sentence does not need a separate word for is. The idea is carried by יש.

Yes, possibly.

The noun עבודה can mean several related things depending on context, including:

• work
• job
• labor
• assignment or piece of work in some contexts

So לעבודה הזאת יש ערך could mean:

• This work has value
• This job has value
• There is value in this work

The best translation depends on what עבודה refers to in the wider context.

It is natural and correct Hebrew.

It sounds fairly neutral and slightly thoughtful or evaluative. You might hear it in conversation, writing, teaching, or discussion.

Depending on tone and context, Hebrew speakers might also say things like:

• העבודה הזאת חשובה = This work is important
• העבודה הזאת בעלת ערך = This work is valuable
• יש ערך בעבודה הזאת = There is value in this work

Your original sentence is perfectly normal and emphasizes that the work has value.

Yes, יש לעבודה הזאת ערך is also grammatical.

Both of these are possible:

• לעבודה הזאת יש ערך
• יש לעבודה הזאת ערך

The version with לעבודה הזאת first often gives a little more emphasis to this work specifically.

The version starting with יש may sound a bit more neutral in some contexts.

Hebrew word order is often flexible, especially with structures using יש, but not every rearrangement works equally well.

You replace יש with אין.

So:

• לעבודה הזאת יש ערך = This work has value
• לעבודה הזאת אין ערך = This work has no value

This is a very important pair to learn:

• יש = there is / there are / has / have
• אין = there is not / there are not / does not have / have no

Both can mean this for a feminine singular noun.

So both of these mean this work:

• העבודה הזאת
• העבודה הזו

In general:

• הזאת is the fuller, standard form
• הזו is very common in everyday spoken Hebrew and is a bit more colloquial

A learner should recognize both. In formal writing, הזאת is often preferred, but הזו is extremely common in real speech.

A common pronunciation is:

la-a-vo-DA ha-ZOT yesh E-rekh

Approximate stress:

• לעבודה → stress on the last syllable: -דה
• הזאת → stress on the last syllable: -זאת
• יש → one syllable
• ערך → stress on the first syllable: E-rekh

A rough transliteration is:

la’avodá hazót yesh érekh

The exact pronunciation may vary slightly depending on accent, but that will be widely understood.