Identifying Rational and Irrational Numbers

What makes a number rational?

• It cannot be represented as a fraction.

• It is a repeating decimal.

• It can be expressed as the ratio of two integers.

• It is an irrational number.

Which of the following is an example of a rational number?

• e

• Square root of 2

• Pi (π)

• -7

How can 3.75 be represented as a ratio of two integers?

• 3750/1000

• 375/100

• 3/75

• 37.5/10

Which of the following is an example of a non-integer rational number?

• e

• Square root of 2

• 3.75

• Pi (π)

What is 0.333 repeating as a fraction?

• 3/4

• 2/3

• 1/3

• 1/2

What is the decimal representation of 2/3?

• 0.6

• 0.6666

• 0.66

• 0.666...

Which of the following numbers is irrational?

• -7

• Pi (π)

• 0.6 repeating

• 15/4

Which of the following numbers is known for never terminating or repeating?

• 1/3

• 2/3

• Pi (π)

• 0.75

Which of the following is NOT a property of irrational numbers?

• They can be found between any two rational numbers.

• The product of a rational and an irrational number is irrational.

• They can be represented as the ratio of two integers.

• The sum of a rational and an irrational number is irrational.

How many irrational numbers can be found between any two rational numbers?

• At least one

• Exactly one

• At most ten

• None