Rational and Irrational Numbers

Can a whole number be a rational number?

• No, whole numbers cannot be rational numbers.

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

• Only some whole numbers are rational numbers.

• Whole numbers are not considered rational numbers in mathematics.

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 whole number but not a rational number.

What is an example of a rational number?

• 0.75, which can be expressed as @@\frac{3}{4}@@

• π (pi)

• √2 (square root of 2)

• -1.5, which can be expressed as @@\frac{-3}{2}@@

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 has a finite decimal representation.

Is the sum of two rational numbers rational or irrational?

• The sum of two rational numbers is always rational.

• The sum of two rational numbers is sometimes irrational.

• The sum of two rational numbers can be either rational or irrational.

• The sum of two rational numbers is never rational.

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

What is an example of an irrational number?

• @@ ext{√2}@@, which cannot be expressed as a fraction.

• @@rac{1}{2}@@, which is a rational number.

• @@rac{22}{7}@@, which is a common approximation of pi.

• @@3.14@@, which is a rounded value of pi.

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

• Rational

• Irrational

• Whole Number

• Integer