Deadly clashes broke out after Israeli tanks drove into Gaza and launched a ground operation that escalates the conflict with Hamas.
The incursion Thursday night follows 10 days of Israeli bombardment of Gaza that has killed more than 250 people. Israel launched the aerial offensive last week, saying it aimed to halt the firing of Hamas rockets from Gaza into Israel.
Israeli Prime Minister Benjamin Netanyahu and Defense Minister Moshe Yaalon ordered the ground operation to destroy tunnels dug from Gaza into Israeli territory, according to a statement.
Thirteen Hamas militants used a tunnel earlier Thursday to launch an attempted attack in Sufa, near an Israeli kibbutz, but were stopped by Israeli soldiers, the Israel Defense Forces said.
The IDF said it had sent a "large" force into Gaza that includes infantry, tanks, artillery, combat engineers and intelligence units, with aerial and naval support.
CNN's Wolf Blitzer asked Mark Regev, Netanyahu's spokesman, whether Israel planned to occupy Gaza for a long time.
Regev didn't answer directly, but said Israel's goals are to "diminish" the Hamas military force and to show that it cannot attack Israel with impunity.
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At least three mortars were fired from Gaza toward southern Israel on Thursday morning, some two hours after a temporary lull in hostilities went into effect to allow humanitarian supplies into the area.
The mortars fell in open areas and no injuries were immediately reported, the Israeli military said. Mortars are smaller and have a more limited range than rockets.
Israel, which said it would honor the cease-fire but not sit idle if attacked, did not immediately respond.
The five-hour long temporary halt in fighting went into effect at 3 a.m. ET, requested by the United Nations to offer a brief respite in a conflict that has killed more than 220 people.
Banks opened for the first time in 10 days in Gaza and residents poured into the streets.
Red Cross officials visited hospitals and damaged houses to assess medical needs, and worked with local officials to quickly fix water pipelines, which has left hundreds of thousands without water.
There were no reported air strikes since the cease-fire began. Still, the fear of death hung heavily over Gaza. The health ministry warned civilians to avoid gathering in squares.
"Should the humanitarian window be exploited by Hamas or other terror organizations for the purpose of launching attacks against Israeli civilian or military targets the IDF will respond firmly and decisively," the Israeli military said.
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The Israeli Defense Forces said Wednesday that it warned residents of three areas in Gaza to vacate their homes because of its plans to carry out airstrikes on Hamas and other terrorist groups.
The IDF said it used recorded messages, text messages and leaflets to alert the populations in Beit Lahyia, Shuja'iya and Zeitoun, places where it said "a high volume of rocket fire at Israel has originated."
"We are all scared but we are force to live in this and there is nothing for us to do," said Abu Musbah, a, 21-year-old member of Islamic Jihad, one of the groups that is firing rockets at Israel. "The children are scared but we struggle to continue our lives."
He said he had already evacuated all of his family members from his house in Shuja'iya.
A woman in the southern Gaza town of Khan Yunis said some people had fled there from harder hit areas in the north and east of the territory, filling some homes with multiple families.
"Those who have family here have come," said the woman, who asked not to be identified for fear of repercussions from talking to the news media.
She said she believed other people were staying in their houses, regardless of warnings from lsraeli leaflets or other means.
These are their homes, they will not run, she said.
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One bomb dropped on a center for the disabled. Another wiped out 18 members of the same family.
By Monday morning, the death toll from nearly a week of Israeli airstrikes on Gaza had reached 172 - all of them Palestinians - with more than 1,250 wounded, according to Palestinian health authorities.
Israel has so far shrugged off international calls for a cease-fire, saying it will continue the offensive as long as the militant group Hamas keeps firing rockets into its territory.
And Hamas shows no sign of letting up after already launching almost 1,000 rockets at Israel.
Caught in the middle are the residents of Gaza. While the Israeli attacks have killed some militants, around 70% of the fatalities were civilians, according to the United Nations. Of the dead, more than 30 are children, the U.N. reported.
"All sides ... must respect the sanctity of civilian life," said Chris Gunness, spokesman for the United Nations Relief and Works Agency for Palestine Refugees.
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Israel faced attack from a second front Friday, but it is unlikely that a rocket fired from Lebanon signifies the widening of a conflict that has left at least 100 dead in Gaza.
The rocket launched from Lebanon landed near the northern Israeli town of Metula, which sits right by the Lebanese border, and no damage or injuries have been reported. It was not immediately clear who fired the rocket.
An Israel Defense Forces spokesman said Israel holds the Lebanese government responsible for the attack, but concerns that Israel will face a two-front conflict are unlikely to be realized.
Hezbollah, which operates in Lebanon and is caught up in other conflicts in the region, probably does not have the appetite to start a war with Israel.
Thousands of rockets were fired from Lebanon into Israel during a war in 2006, but rocket attacks since then have been sporadic. Tensions are always high between Hezbollah and Israel, but Hezbollah's involvement in Syria's civil war means that a fight with Israel might not make sense.
Nonetheless, Israel responded with artillery that landed in the vicinity of the Lebanese town of Kfar Shouba. No casualties were reported, the Lebanese army said.
Israel continued to weather rocket attacks by the Palestinian group Hamas in Gaza, but virtually all of the casualties in the conflict have been suffered on the Gazan side.
Though menacing, nearly all the Hamas rockets have been intercepted by the Israeli air defense system or struck empty areas. Airstrikes by Israel in Gaza, in contrast, have been blamed for at least 100 deaths, including 22 children and 20 women, a spokesman for Gaza's Ministry of Health said.
Hospitals in Gaza are unable to take care of the wounded - who top 700 - and patients are being treated on the floors because emergency rooms are overcrowded, medical sources told CNN.
The same medical sources said that medicines are running low and that the scenes at the hospitals are not unlike the chaos witnessed at Syrian hospitals during its civil war.
CNN staff in Gaza reported there are rolling blackouts, and there are water shortages in some areas because airstrikes have damaged pumping stations.
The Israeli military, meanwhile, said that some 100 rockets were fired at Israel today, including one that was intercepted over the Tel Aviv metropolitan area.
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Israeli Prime Minister Benjamin Netanyahu on Monday spoke with the father of the Palestinian teenager who was burned alive in Jerusalem last week, expressing shock at what he called an "abhorrent" murder.
As anger continues to boil over the killing of 16-year-old Mohammed Abu Khedair, Netanyahu spoke by phone with the father, Hussein Abu Khedair, telling him that the killers will be brought to trial and "will be dealt with to the fullest extent of the law."
Police have arrested several Israeli Jewish suspects in connection with the killing. They said there was a "strong indication" that the attackers may have been motivated by a desire for revenge over the deaths of three Israeli teenagers, whose bodies were found a week ago in a field in the West Bank.
In a region that has experienced decades of fighting and mistrust, the past week's events have still managed to shock - and to further embitter relations between Israelis and Palestinians.
"The murder of your son is abhorrent and cannot be countenanced by any human being," Netanyahu told the teenager's father on Monday.
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