A terminating decimal is one that ends. For example 1/2 = 0.5, which is a terminating decimal. But 1/3 = 0.333333...., which keeps on going so it's a non-terminating decimal.

With statement one, you can convert the fraction 416/1000 to the decimal 0.416 (just reading the fraction 416 thousandths can help with the conversion). So with this statement we know d = 5.416, which has 3 nonzero digits after the decimal point. Statement one is sufficient. Eliminate B, C and E.

Statement two tells us about the digits to the left of the decimal point. So the number could be 2.5 and have 1 nonzero digit to the right of the decimal but the number could also be 2.542 and have 3 nonzero digits to the right of the decimal. Statement 2 is insufficient since we don't get a consistent answer. So the answer is A.

Make senses?

Take care,

Sionainn Marcoux
BA - Stanford University, MPP - Harvard University
Instructor, tutor for Princeton Review and Airbnb host
In other words a blend of Jamie Escalante from Stand and Deliver, Julie from The Love Boat, and Schneider the Super from One Day at a Time.