Respuesta :

-4/5, 2.5, 0.4, √16 are rational and √2 is irrational.

Step-by-step explanation:

  • The rational number can be written in the form of fraction that can be simplified into a integer.
  • The irrational number cannot be written in the form of fraction.

-4/5 is a rational number.

Reason: It is in the fraction form with -4 in the numerator and 5 in the denominator.  .

√2 is irrational.

Reason: since it cannot be written as a fraction.

2.5 is rational number.

Reason: It can be written in the form of fraction such as 5/2.

0.4 is represented with a bar above the 4 which means that 4 gets repeated. It is a rational number

Reason: because it an integer.

√16 is rational.

Reason: It can be simplified as +4 or -4 which are integers.