Answer :

To determine which number has commas positioned between the correct place values, we need to follow the rules for proper comma placement in large numbers. In standard notation for large numbers, commas are used to separate groups of three digits, starting from the right.

Let's go through each number one by one:

1. 23,89
- Split by commas: `23` and `89`
- The first part has 2 digits which is acceptable, but the second part should have 3 digits according to the rules.
- Therefore, this number does NOT have correct comma placement.

2. 435,906
- Split by commas: `435` and `906`
- The first part has 3 digits and the second part also has 3 digits.
- This follows the standard rules for comma placement.
- Therefore, this number DOES have correct comma placement.

3. 87,921,00
- Split by commas: `87`, `921`, and `00`
- The first part has 2 digits which is acceptable, the second part has 3 digits which is correct, but the third part has only 2 digits.
- Therefore, this number does NOT have correct comma placement.

4. 123,4
- Split by commas: `123` and `4`
- The first part has 3 digits which is acceptable, but the second part should have 3 digits according to the rules.
- Therefore, this number does NOT have correct comma placement.

5. 10,90,800
- Split by commas: `10`, `90`, and `800`
- The first part has 2 digits which is acceptable, but the subsequent parts should each have 3 digits according to the rules, but `90` has only 2 digits.
- Therefore, this number does NOT have correct comma placement.

After reviewing each number, we see that only 435,906 meets the criteria for proper comma placement. Therefore, the number with commas positioned between the correct place values is 435,906.

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