TALLAHASSEE, Fla. — When it comes to pursuing federal largess, most of the states that oppose the 2010 health care law have refused to let either principle or politics block their paths to the trough. If Washington is doling out dollars, Republican governors and legislators typically figure they might as well get their share.

Then there is Florida. Despite having the country’s fourth-highest unemployment rate, its second-highest rate of people without insurance and a $3.7 billion budget gap this year, the state has turned away scores of millions of dollars in grants made available under the Affordable Care Act. And it is not pursuing grants worth many millions more.

In recent months, either Gov. Rick Scott’s administration or the state’s Republican-controlled Legislature has rejected grants aimed at moving long-term care patients into their homes, curbing child abuse through in-home counseling and strengthening state regulation of health premiums. They have shunned money to help sign up eligible recipients for Medicare, educate teenagers on preventing pregnancy and plan for the health insurance exchanges that the law requires by 2014.