The US trade deficit rose in March for the first time since last July as the global recession cut sharply into sales of American exports. The politically sensitive deficit with China increased. The Commerce Department said Tuesday the deficit widened to $27.6 billion in March, slightly lower than the $29 billion gap that economists had forecast. The March deficit was 5.5 percent higher than February's revised $26.1 billion trade gap, which had been the smallest since November 1999. Through the first three months of this year, the trade deficit was running at an annual rate of $359.7 billion, far below last year's $681.1 billion. Economists expect the deficit will remain at low levels this year as a recession in the US crimps demand for foreign goods. Other reports out Tuesday showed home prices in most of the US fell in the first quarter, which created buying opportunities in some states, while job openings have hit an eight-year low and companies remain reluctant to hire. The global downturn also has cut into sales of US exports. That will limit the amount of improvement seen in the deficit, which is the difference between what America imports and what it sells abroad. The slump in exports has been a blow to US manufacturing giants such as Boeing Co. and Caterpillar Inc. who derive a large part of their sales from foreign markets. For March, exports of goods and services fell 2.4 percent to $123.6 billion, the lowest level since August 2006. Sales of farm products dropped $2.4 billion, while exports of capital goods slid $1.7 billion, led by big declines in sales of civilian aircraft, telecommunications equipment, semiconductors, and domestic autos. The March trade deficit also was smaller than the one the government assumed when it released its first estimate showing the overall economy, as measured by the gross domestic product, fell at rate of 6.1 percent in January