Rational/Irrational

√30

Irrational: Only perfect squares are rational. The square root of 30 is not perfect, therefore it is irrational.

π

Irrational: Pi has a decimal that goes on forever and is NOT repeating. Therefore it is an irrational number.

0.5432456332...

Irrational: The decimal goes on forever, but is not a repeating decimal.

9.64538....

Irrational: The number has a decimal that goes on forever and is NOT repeating. Therefore it is an irrational number.

√10

Irrational: The square root of 10 is not a perfect square. Therefore, it is an irrational number.

- 16

Rational: -16 is an integer and all integers are rational.

- 8

Rational: -8 is an integer. All integers are rational numbers.

0

Rational: 0 is an integer and all integers are rational.

3 squared

Rational: 3 squared is 9 which is an integer. All integers are rational numbers.

4 1/2

Rational: 4 1/2 is the same as 4.5 or 9/2, which would be a terminating decimal or a fraction made up of two integers

0.8888888...

Rational: Repeating decimal.

4.858585...

Rational: Repeating decimals are rational numbers.

-1.6

Rational: Terminating decimals are rational numbers.

-44.908

Rational: The decimal is a terminating decimal.

1/6

Rational: The fraction is made up of integers on the numerator and denominator.

√169

Rational: The square root of 169 is a perfect square. Perfect squares are rational numbers.