Understanding Rational and Irrational Numbers

What is a rational number?

• A rational number is a number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

• A rational number is a number with an infinite decimal representation.

• A rational number is a number that cannot be expressed as a fraction.

• A rational number is always an integer.

Give an example of an irrational number.

• 3.14

• -1

• 0

• √2

Is the number 0.75 what kind of number?

• whole number

• rational

• irrational

• integer

What is the square root of 2 classified as?

• Irrational number

• Complex number

• Rational number

• Whole number

Can a fraction be an irrational number?

• All fractions are irrational numbers.

• Yes, a fraction can be an irrational number.

• No, a fraction cannot be an irrational number.

• Some fractions can be irrational numbers.

Is the number -3 a rational number?

• -3 is an irrational number

• Only positive numbers are rational

• Yes

• No

What is the decimal representation of 1/3?

• 0.5

• 0.333...

• 0.25

• 0.75

Is pi (π) a rational number? Why or why not?

• No, pi (π) is not a rational number.

• Pi (π) is a rational number because it is a whole number.

• Yes, pi (π) is a rational number because it can be expressed as a fraction.

• Pi (π) is a rational number since it has a repeating decimal.

What is the sum of two rational numbers?

• The sum of two rational numbers is always zero.

• The sum of two rational numbers is a whole number.

• The sum of two rational numbers is also a rational number.

• The sum of two rational numbers is an irrational number.

Can the product of a rational and an irrational number be rational?

• No, the product of a rational and an irrational number cannot be rational.

• The product can be rational if both numbers are integers.

• The product is always rational if the rational number is non-zero.

• Yes, the product can be rational.