Answers:
- a) rational
- b) rational
- c) rational
- d) irrational
- e) rational
Everything is rational but choice D
=======================================================
Explanation:
A rational number is anything in the form p/q where p and q are integers. The value of q cannot be zero.
So that's why -4/11 is rational. Here we have p = -4 and q = 11.
Any terminating decimal is rational. For choice A, we have 3.14 = 314/100
Choice C is also rational because [tex]\sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}[/tex]
Choice E is rational since 6 = 6/1.
In short, choices A, B, C, and E are rational.
------------------
The only irrational answer is d) 2pi
pi is irrational because we cannot write it as a fraction of two integers. Any number in the form n*pi, where n is any integer, is also irrational.
