Identifying Rational Numbers

The video tutorial explains rational numbers, which are numbers that can be expressed as fractions where the denominator is not zero. It covers the relationship between ratios and fractions, and how whole numbers, fractions, mixed numbers, and decimals can be rational numbers. The video also distinguishes between rational and non-rational numbers, using pi as an example of a non-rational number. It concludes by summarizing the characteristics of rational numbers, including whole numbers, fractions, mixed numbers, and both terminating and repeating decimals.

What is a key characteristic of a rational number?

• It cannot be expressed as a decimal.

• It is always greater than zero.

• It is always a whole number.

• It can be written as a fraction with a non-zero denominator.

Which of the following is a rational number?

• An imaginary number

• Pi (π)

• The square root of 2

• 0.75

How can a mixed number be classified as a rational number?

• By multiplying it by zero

• By adding it to a whole number

• By expressing it as an improper fraction

• By converting it into a decimal

Why is the number pi (π) not considered a rational number?

• It can be written as a fraction.

• It is a repeating decimal.

• It is a non-terminating, non-repeating decimal.

• It is a whole number.

Which of the following sets of numbers are included in rational numbers?

• Only whole numbers

• Only fractions

• Whole numbers, fractions, and repeating decimals

• Only non-repeating decimals