Step-by-step explanation:
2) [tex]\frac{-3}{10}[/tex]
This is a rational number because as a decimal, it is -0.3. It doesn't repeat, so it is a terminating decimal.
3) [tex]\sqrt{40}[/tex]
When you put this into a calculator, you get 6.324555... Since this decimal would go on forever, it is irrational.
4) [tex]\sqrt{81}[/tex]
When you put this into a calculator, you get 9. It is a whole number, so it is rational.
5) 2 [tex]\frac{1}{3}[/tex]
As an improper fraction, this is 7/3. When you put this into a calculator, you would get 2.33333... Since this decimal would go on forever, it is irrational.
6) 0.35
This is a terminating decimal, just like number one. It doesn't repeat, so this is a rational number.
7) 0.33333 ....
This is an irrational number because it repeats.
8) -9
Since this is a whole number, it would be rational.
9) 3.4
This is a terminating decimal, just like number 6. It doesn't repeat, so this is a rational number.
10) [tex]\sqrt{2}[/tex]
When you put this into a calculator, you get 1.41421... Since this decimal would go on forever, it is irrational.
