The value of the digit in the hundreths place is _ times as much as the digit in the tenths place

10 times., because to change a number from 100s to 10s, you are moving it a 10th of a place.

It is ten times the number in the tenths place

So, if x*y > than zero, we know that neither x nor y can be zero, because anything multiplied by zero is equal to zero.  Now, we also know, that a negative times a negative is positive, and a positive times a positive times a positive is positive.

So,

x and y can either both be negative, or both be positive.  

They cannot be zero, or one negative, one positive.

Hope this helps!