Question

Which statement is false? `5/7` is `A: "rational B: irrational C: whole number D: non terminating"`

Answer 1

B and C are false.
A and D are true.

A) rational is true
B) irrational is false
C) whole number is false
D) non terminating is true

Explanation:

The definition of an irrational number is that it is not rational :-)

The definition of a rational number is that is can be in the form:

`a/b` where both a and b are integers.

Since your number `5/7` is the integer 5 over the integer 7 it meets the definition for a rational number, therefore it cannot also be irrational and answer A is true while B is false.

C is false because it is not a whole number it is a fraction.

D is true because `5/7 = 0.7142857142857142857 .......` so it recurs. It is non-terminating

FYI: ALL rational numbers either terminate or recur.

Any fraction with a denominator which has a prime number (apart from `2 and 5`) as a factor will recur.