Rational and Irrational Numbers

Classify the number -5 as rational or irrational.

• Rational

• Irrational

• Whole Number

• Integer

Is the product of a rational number and an irrational number rational or irrational?

• Rational

• Irrational

• Both rational and irrational

• Undefined

Is @@\frac{9}{5}@@ a rational or irrational number?

• Rational

• Irrational

• Whole Number

• Integer

Is @@\text{√39}@@ a rational or irrational number?

• Rational

• Irrational

• Integer

• Whole number

Classify the number 9 as rational or irrational.

• Rational

• Irrational

• Whole Number

• Integer

Can a whole number be a rational number?

• Yes, all whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1.

• No, whole numbers cannot be expressed as fractions.

• Only some whole numbers are rational numbers.

• Whole numbers are always irrational numbers.

Is 37.5 a rational or irrational number?

• Rational

• Irrational

• Whole Number

• Integer

Is 0 a rational number?

• Yes, 0 is a rational number because it can be expressed as @@\frac{0}{1}@@.

• No, 0 is not a rational number because it cannot be expressed as a fraction.

• Yes, 0 is an irrational number because it cannot be expressed as @@\frac{a}{b}@@ where a and b are integers.

• Yes, 0 is a rational number because it can be expressed as @@\frac{1}{0}@@.

What is the decimal representation of an irrational number?

• The decimal representation of an irrational number is terminating and repeating.

• The decimal representation of an irrational number is non-terminating and non-repeating (like 3.14159...).

• The decimal representation of an irrational number is always a whole number.

• The decimal representation of an irrational number is a finite decimal.

What is an irrational number?

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

• 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.

• A number that is always negative.