The deadliest bombing struck a busy commercial street today in the Habibiya section of Baghdad's Sadr City, killing at least nine people and wounding 22, officials said.
Another bombing, at a vegetable market in the Tarabya section of Baghdad, killed at least six people and wounded 14.
Earlier today in northwestern Baghdad, police say a bomb detonated near an intelligence branch of the Interior Ministry, killing four people, a couple and their two children.
Baghdad has enjoyed relative calm in recent months as compared to the sectarian bloodshed that gripped the city in 2006 and 2007.
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While no one has claimed responsibility for today's attack, the Islamic State group has claimed a number of recent bombings in the past.
Iraqi security forces remain on the outskirts of the northern city of Tikrit, the hometown of Saddam Hussein, awaiting a final push into the city.
Military officials said they have opted not to rush the final assault in an effort to minimise casualties and to ensure that the city's infrastructure is safeguarded.