No group immediately claimed responsibility for the bombings but Islamic State militants have carried out scores of similar attacks to detract from the Mosul fighting.
Air strikes on the city by the Iraqi air force resumed on Tuesday as the sky cleared after several days of bad weather, the Iraqi military said.
A Mil Mi-28 "Havoc" helicopter fires flares in west Mosul on March 11 during the ongoing battle by Iraqi forces to retake the city from ISIS. The assailants blew themselves up when they ran out of ammunition, it said.
Among those killed were commanders in charge of booby traps, of Arab suicide fighters and child recruitment, the statement added, without identifying them by name.
Two suicide attackers detonated their vests when surrounded by police, and three others were killed in separate clashes.
The current phase of the campaign is the most hard as narrow alleyways in the densely populated old city limit the use of artillery, air power and armoured vehicles.
But irrespective of whether or not they are directly targeted, residents still can and have been the victims of strikes aimed at IS fighters who are deployed in areas still populated by hundreds of thousands of civilians.
Strikes by Iraqi helicopters are especially important for the country's interior ministry forces, which consistently complain of not receiving sufficient air support from the US-led anti-IS coalition.
"The house was totally destroyed and the whole family was killed", one of the witnesses said, requesting anonymity due to security concerns.
US-powered forces are trying to reclaim the Islamic State's two biggest hubs, Mosul in Iraq and Raqqa in Syria.
"The high civilian toll suggests that coalition forces... have failed to take adequate precautions to prevent civilian deaths, in flagrant violation of global humanitarian law", said Amnesty's Donatella Rovera.