Exploring Rational and Irrational Numbers

What is a rational number?

• A number that cannot be written as a fraction

• A number that can be written as a fraction or a decimal

• A number that is always a whole number

• A number that is always an integer

Which of the following is an example of a terminating decimal?

• 0.333...

• π

• 0.123456...

• 0.6

What type of number is the square root of 20?

• Rational

• Irrational

• Whole number

• Integer

Which of the following numbers is irrational?

• Square root of 30

• 0.33 repeating

• 7/8

• Negative 12

If a number is a repeating decimal, it is considered:

• Integer

• Whole number

• Rational

• Irrational

What is the classification of 3.4567?

• Rational

• Irrational

• Whole number

• Integer

What is the classification of 3.4567 with a repeating bar over the seven?

• Irrational

• Rational

• Integer

• Whole number

What is the classification of 6 plus the square root of 30?

• Whole number

• Integer

• Rational

• Irrational

What is the classification of the square root of 6 plus 30?

• Irrational

• Rational

• Whole number

• Integer

Give an example of an irrational number greater than 10.

• Square root of 101

• Square root of 100

• Square root of 81

• Square root of 64