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**Hint:**In this problem we need to place the commas in the given number according to the international system. In the international system we have ones, tens and hundreds as one set, thousands, ten thousand and hundred thousand as one set and million, ten million and hundred million as one set and so on. we can observe that every set has three values, so we need to place a comma after every three digits from the right-hand side. So, we will first consider the given number and place the commas from the right hands side after every three digits.

**Complete step by step answer:**

Given number is $648340021$.

In the above number we have $9$ digits.

In ones place we have the digit $1$.

In tens place we have the digit $2$.

In hundreds place we have the digit $0$.

In thousands place we have the digit $0$.

In ten thousand place we have the digit $4$.

In hundred thousand place we have the digit $3$.

In millions place we have the digit $8$.

In ten million place we have the digit $4$.

In hundred million place we have the digit $6$.

So, the possible set of number in the given value are

First set is $\left( 021 \right)$, second set is $\left( 340 \right)$, third set is $\left( 648 \right)$.

Now the number with placing commas is given by

$648,340,021$.

Hence the value $648340021$ in the international system can be written as $648,340,021$.

**Note:**In this problem we have asked to place the commas according to the international system. So, we have considered each set according to the international system. In some cases, they may ask to write the number in the Indian system, then we need to consider the set according to the Indian system.

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