Question

Which of the following statements are true. Select all that apply

Answer 1

By definition, rational numbers are numbers that ca be expressed as a fraction that either terminates when divided or repeats when divided.  Integers, on the other hand CANNOT be fractions, so integers are more specific than rational numbers.  So the first statement above is not true.  I just stated that repeating decimals are rational, so the second statement is not true either.  When you divide 715 by -14 you get a number that appears to not terminate or repeat, so the third statement down is true.  Terminating decimals are rational, so the fourth statement down is true.  As for the last one, I am assuming that the ..... you have after that number means it goes on and on and since it doesn't repeat within those numbers you've listed there I'm assuming that it doesn't repeat or terminate so it is not a rational number.  The only 2 statements that are true (or "apply", according to your instructions) are the third and the fourth statements down.

Answer 2

The two correct statements are:

All integers are rational numbers

Terminating decimals are rational numbers.