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The dollar index, which tracks the greenback against a basket of six major currencies, edged up 0.1 percent to 94.112 .DXY but remained not far above Friday's low of 93.855, its lowest since May 12.
The dollar rose 0.1 percent to 106.64 yen JPY= after brushing as low as 106.35 earlier in the session, its deepest nadir in a month.
The euro inched 0.1 percent lower to $1.1350 EUR=, after nosing to a fresh high of $1.1375 earlier, its highest level since May 13.
Sterling tumbled 0.7 percent to $1.4396 GBP=D4 after sinking as low as $1.4352 earlier, wallowing around three week lows as voters in Britain gear up for the June 23 referendum on whether to remain in the European Union.
U.S. nonfarm payrolls rose by just 38,000 last month, the smallest increase since September 2010 and well shy of expectations for a rise of 164,000. All 105 economists polled by Reuters had forecast higher numbers.
A Reuters poll of Wall Street's top banks taken after the jobs figures showed that all of them expect the U.S. Federal Reserve to leave interest rates unchanged at its June 14-15 policy meeting.
Data on the U.S. non-manufacturing sector also disappointed, showing a drop in the May headline index to 52.9 from 55.7 in April.
Fed funds futures rates indicated that traders see only a 6 percent chance of a Fed hike this month, down from 21 percent as recently as Thursday, according to CME Group's FedWatch tool.
Later in the session on Monday, Federal Reserve chair Janet Yellen will address an event in Philadelphia. Markets will pay close attention to her last official remarks ahead of the pre-meeting media blackout.
EUR / USD: during the Asian session, the pair was trading in the $ 1.1335-70
GBP / USD: during the Asian session the pair fell to $ 1.4350
USD / JPY: during the Asian session, the pair is trading in the range of $ 106.40-107.20
Based on Reuters materials
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