Short answers, pulled from the story.
Dmitry Medvedev took his oath on the 7th of May 2008 inside the Grand Kremlin Palace. He received a gold chain featuring double-headed eagles to symbolize the presidency during the ceremony.
On the 8th of May 2008 Dmitry Medvedev appointed Vladimir Putin Prime Minister of Russia. The State Duma approved the nomination with a clear majority of 392 votes against only 56 opposition votes from communist deputies.
The initiative focused on efficient energy use nuclear technology information technology medical technology and pharmaceuticals plus space technology combined with telecommunications. He established the Skolkovo innovation center as part of this broader economic transformation effort.
On the 26th of August following a unanimous vote of the Federal Assembly Medvedev issued a decree officially recognizing Abkhazia and South Ossetia as independent states. This action drew condemnation from G8 nations while driving tensions in Russia-United States relations to post-Cold War highs.
Putin was inaugurated on the 7th of May when Medvedev's presidency officially ended after winning the presidential election on the 4th of March 2012. He then assumed the role of Prime Minister under his former partner's administration.