Identifying Rational and Irrational Numbers

What defines a number as rational?

• It cannot be written as a fraction.

• It is a non-perfect square.

• It has a non-repeating decimal expansion.

• It can be expressed as a fraction.

What makes a decimal terminating?

• It represents a non-perfect square.

• It stops after a finite number of digits.

• It cannot be expressed as a fraction.

• It repeats indefinitely.

Why is pi considered an irrational number?

• It is a perfect square.

• It has a non-terminating, non-repeating decimal expansion.

• It is a whole number.

• It can be written as a fraction.

Is the square root of 100 + 1 rational or irrational?

• Irrational

• None of the above

• Cannot be determined

• Rational

What is the classification of 3 pi?

• A perfect square

• A terminating decimal

• Rational

• Irrational

Why is the square root of 20 considered irrational?

• It has a non-terminating, non-repeating decimal expansion.

• It is a perfect square.

• It is a whole number.

• It can be written as a fraction.

What is true about the square root of 144?

• It simplifies to a whole number, making it rational.

• It is a non-perfect square.

• It is irrational.

• It has a repeating decimal expansion.

Is -5.65 considered rational or irrational?

• Rational because it is a non-perfect square.

• Irrational because it has a non-repeating decimal.

• Irrational because it cannot be written as a fraction.

• Rational because it is a terminating decimal.

Give an example of a rational number less than 2.

• 2/3

• 3 pi

• Square root of 2

• Pi

What will be the side length of a square with an area of 50 feet?

• Irrational

• Cannot be determined

• A perfect square

• Rational