How many yards in a mile

One mile is exactly 1,760 yards, and that relationship is far older than the metric system: an English statute of 1593 fixed the mile at eight furlongs, and a furlong is 220 yards. The 1959 international agreement later fixed the yard at exactly 0.9144 meters, which pinned the mile to the meter, but the 1,760 itself was never in question.

Worked through: 1 mi x 1,760 = 1,760 yd.

Going the other way, one yard is 0.0005681818 miles.

For mental arithmetic: Multiply by 1,760: multiply by 1,000, then by 1.76. Or anchor on 440 yards to the quarter mile and count quarters.

The odd number is a compromise between two systems that both survived. The Roman mile was a thousand paces, and the English furlong (a furrow's length, 220 yards) was the unit fields were laid out in, so when the two had to agree the mile was stretched to exactly eight furlongs. The divisions are what people use: a quarter mile is 440 yards, which is why the old sprint was the 440-yard dash and a drag strip is a quarter mile long; half a mile is 880. An American football field is 100 yards between the goal lines, so a mile is 17.6 of them. And golf is measured in yards because Britain was: a 7,000-yard course is just under four miles of fairway.

Precision is worth matching to the input. A measurement given as 0.125 mi carries one or two significant figures, and reporting its conversion to six implies a precision the original never had.