A security official told IraqiNews.com: "Most of the explosions took place in Sadr city while other bombings hit Kamaliya, Habibiya and Saydiya areas."
CNN said the bombings targeted open markets in Shiite neighborhoods.
Although violence in Baghdad has dropped significantly, instances like Sunday's attack continue in the run-up to next month's 10-year anniversary of the U.S-led invasion of Iraq, CNN said.
Millions of Getty images now available for free via embed tool
Boston schools pull out free condoms over wrapping complaints