Understanding Rational Numbers

The video tutorial explains the concept of rational numbers, which are numbers that can be expressed as a fraction a/b, where a and b are integers and b is not zero. It covers how integers, fractions, mixed numbers, and decimals can all be rational numbers. The lesson highlights that all integers are rational numbers, as they can be expressed with a denominator of 1. It also explains that both terminating and repeating decimals can be converted into fractions, making them rational numbers. The tutorial provides examples and clarifies common misconceptions about rational numbers.

What is a key characteristic of a rational number?

• It must be greater than zero.

• It cannot be negative.

• It is always a whole number.

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

Why is zero considered a rational number?

• Because it cannot be expressed as a fraction.

• Because it is a negative integer.

• Because it is a positive integer.

• Because it can be expressed as 0/1.

Which of the following is an example of a rational number?

• √2

• π

• 3/4

• e

How can a mixed number like 2 and 1/3 be expressed as a rational number?

• By dividing it by an integer.

• By multiplying it by zero.

• By adding it to another fraction.

• By converting it to an improper fraction.

What makes a terminating decimal a rational number?

• It can be expressed as a fraction.

• It is always greater than one.

• It cannot be negative.

• It is an integer.

Why are repeating decimals considered rational numbers?

• They are always positive.

• They are always less than one.

• They cannot be expressed as fractions.

• They can be expressed as fractions.

Which of the following decimals is a rational number?

• π

• 0.333... (repeating)

• √2

• e