Rational and Irrational Numbers

Which numbers are considered rational? Give examples.

• 1/2, 3, -4, and 0.75

• π, √2, -1, and 0.5

• 1, 2, 3, and 4

• 0, -1, -2, and -3

What is the sum of a rational number and an irrational number?

• The sum is always rational.

• The sum is always irrational.

• The sum can be either rational or irrational.

• The sum is always an integer.

Is √2 a rational or irrational number?

• Rational

• Irrational

• Whole number

• Integer

Which of the following is rational: √25, π, or √12?

• √25 (because it equals 5, which is a whole number)

• π (approximately 3.14, which is an irrational number)

• √12 (approximately 3.46, which is also an irrational number)

• None of the above

Is √8 a rational or irrational number?

• Rational

• Irrational

• Whole Number

• Integer

Provide an example of an irrational number expressed in decimal form.

• 0.3333...

• π (approximately 3.14159...)

• 2.71828...

• 1.41421...

What is an irrational number?

• A number that can be expressed as a simple fraction.

• A number that can be written as a ratio of two integers.

• A number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

• A whole number that is not a fraction.

Is 5 a rational or irrational number?

• Rational

• Irrational

• Whole

• Integer

What is the decimal representation of an irrational number?

• An irrational number has a terminating decimal representation.

• An irrational number has a repeating decimal representation.

• An irrational number has a non-terminating, non-repeating decimal representation.

• An irrational number can be expressed as a simple fraction.

Between which two whole numbers does √27 lie on a number line?

• 4 and 5

• 5 and 6

• 6 and 7

• 3 and 4