The blasts occurred within an hour of each other from around midday (0900 GMT) onwards in various parts of the Iraqi capital, leaving dozens more wounded.
Four of the neighbourhoods hit are populated mostly by Iraq's Shiite majority, while the other two were in the commercial Karrada district of central Baghdad. Three of the blasts targeted market areas.
The bombings come a day after a spate of attacks in the Iraqi capital left 33 people dead, including 25 who were killed in a series of bombings near the heavily-fortified Green Zone, which is home to parliament, the prime minister's office and the US and British embassies.
No one immediately claimed responsibility for the bombings.