Understanding Rational and Irrational Numbers

Which of the following is a characteristic of a rational number?

• It cannot be expressed as a fraction.

• It can be expressed as a fraction with whole numbers.

• It is always a decimal.

• It is always a whole number.

Why is the square root of 17 considered an irrational number?

• It can be expressed as a fraction.

• It is a whole number.

• It is a perfect square.

• It cannot be expressed as a fraction with whole numbers.

How can the number 1 over the square root of 9 be classified?

• Irrational, because it cannot be simplified.

• Irrational, because it is a decimal.

• Rational, because it is a whole number.

• Rational, because it simplifies to 1/3.

What is the improper fraction form of negative one and two-thirds?

• -2/3

• -5/3

• -3/5

• -1/3

How can the decimal 0.423 be expressed as a fraction?

• 423/100

• 42/100

• 423/1000

• 4/23