314. a terminating decimal is a decimal formed by a finite number of nonzero dig

leeguoyan

314. a terminating decimal is a decimal formed by a finite number of nonzero digits.    Whether c/d is a terminating decimal?
A. c is a factor of 60
B. d is a factor of 250

E?

liyang229

first, lets define terminating decimal.
The word “terminate” means “end”.

A decimal that ends is a terminating decimal.

In other words, a terminating decimal doesn’t keep going. A terminating decimal will have a finite number of digits after the decimal point.  such as
3/4=0.75 is a terminating decimal. or a rational number.


so, factor of 60 will have ,1,60,2,30,3,10,5,6.........
the way we determine if a fraction a rational or terminating number is more concern its denominator.

ok, lets see statment 2, d is factor of 250.

factors of 250 are:1,250,2,125,5,50,10,25.  so, this become very useful.

all of its factor are ending with either 0 or 5. so, that means any number divide by it will become a rational number and also with finite number.

so, we could see that statement 2 alone is sufficient.

and statement 1, is not sufficient enough.

so, the final answer is B.