Rational and Irrational Numbers

What is the decimal representation of a rational number?

• It is always a whole number (e.g., 2)

• It either terminates (e.g., 0.5) or repeats (e.g., 0.333...)

• It can only be expressed as a fraction

• It is always an irrational number (e.g., π)

Is 0 a rational number?

• Yes, because it can be expressed as 0/1.

• No, because it cannot be expressed as a fraction.

• Yes, because it is an integer.

• No, because it is not a whole number.

What is the product of two irrational numbers?

• It is always rational.

• It can be either rational or irrational, depending on the numbers.

• It is always irrational.

• It is undefined.

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.

What is a rational number?

• A number that can be expressed as the quotient of two integers, where the denominator is not zero.

• A number that cannot be expressed as a fraction.

• A number that is always an integer.

• A number that has an infinite number of decimal places.

Which of the following is irrational: 9.6, √45, 3/8, 3.4 x 10⁵?

• 9.6

• √45

• 3/8

• 3.4 x 10⁵

What is the square root of 25?

• 3

• 4

• 5

• 6

Is the number -17.565 rational or irrational?

• Rational, because it can be expressed as a fraction (-17655/1000).

• Irrational, because it cannot be expressed as a fraction.

• Rational, because it is a whole number.

• Irrational, because it has a repeating decimal.

What is an example of a rational number?

• 1/2

• -3

• 0.75

• √2

What is the decimal representation of an irrational number?

• It is non-terminating and non-repeating (e.g., 0.14159... for π).

• It is a finite decimal (e.g., 0.5).

• It is a repeating decimal (e.g., 0.333...).

• It is always an integer.