Question

Classify each expression as rational or irrational.

Answer 1

1. Rational 
2.irrational
3.irrational
4.rational

Answer 2

Answer:

√6× 0 is irrational .

π ÷ π  is irrational .

10 π - 7 π is rational .

$\sqrt{49}+\frac{1}{3}$ is rational .

Step-by-step explanation:

Definition of rational and irrational numbers

The numbers in the form of fraction are called rational and others are called irrational numbers .

First Part

= √6× 0

= 0

Thus √6× 0 is irrational .

Second Part

= π ÷ π

It is also written as

$=\frac{\pi}{\pi }$

= 1

Thus π ÷ π  is irrational .

Third Part

= 10 π - 7 π

= (10 - 7)π

= 3π

$\pi = \frac{22}{7}$

$= \frac{22\times 3}{7}$

$= \frac{66}{7}$

Thus 10 π - 7 π is rational .

Fourth Part

$=\sqrt{49}+\frac{1}{3}$

$\sqrt{49}=7$

$=7+\frac{1}{3}$

$=\frac{7\times 3+1}{3}$

$=\frac{22}{3}$

Thus $\sqrt{49}+\frac{1}{3}$ is rational .