Is it obligatory for children under seven years old to perform ablution (Wudu') for circumambulating (Tawaf) during Umrah?

The ruling on ablution (Wudu') for circumambulation (Tawaf) concerning children can be summarized as follows:

1. Non-discerning child: Leniency is shown regarding their Ihram and Tawaf. Some jurists hold that their guardian is not obligated to perform ablution for them before Tawaf, though the more cautious approach is to do so. 2. Discerning child: They are commanded to observe all the Sunnahs and obligations of 'Umrah that an adult is commanded to observe, including ablution for Tawaf. Their purification is valid, and their state of ritual impurity is removed by it. 3. Ruling on ablution for Tawaf in general: The more probable view is that it is recommended (mustahabb) rather than obligatory (wajib), even though the Prophet, peace be upon him, performed Tawaf while in a state of ablution.

The general principle is that children should perform Tawaf according to the manner of Tawaf commanded for adults, including ablution, with the understanding that it is not obligatory or a condition for Tawaf but rather recommended.