Understanding Rational Numbers

The video tutorial introduces the concept of rational numbers, starting with a review of the number line and integers. It explains that rational numbers are numbers of the form 'p' by 'q', where 'p' and 'q' are integers and 'q' is not zero. The tutorial highlights the importance of these conditions, particularly why division by zero is undefined. It also raises questions about the differences between rational numbers and fractions, whether integers are rational numbers, and how to compare rational numbers. These questions will be addressed in further videos.

What are the numbers on the right side of zero on a number line called?

• Positive integers

• Negative integers

• Rational numbers

• Fractions

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

• 0

• 2

• 1/3

• 5

What must be true about the denominator in a rational number?

• It must be greater than the numerator

• It cannot be zero

• It must be a positive integer

• It can be any number

Why can't the denominator in a rational number be zero?

• Because it would make the number a fraction

• Because it would make the number positive

• Because it would make the number undefined

• Because it would make the number negative

Which of the following is the correct definition of a rational number?

• A number that is always negative

• A number that is always positive

• A number that can be written as a fraction

• A number that can be written as p/q where p and q are integers and q is not zero

What is the basic definition of rational numbers?

• Numbers that are always negative

• Numbers that can be written as p/q where p and q are integers and q is not zero

• Numbers that are always positive

• Numbers that can be written as a fraction

What is the difference between rational numbers and fractions?

• Rational numbers can be negative, fractions cannot

• Rational numbers must have a denominator of 1

• Fractions can be negative, rational numbers cannot

• There is no difference

Are integers classified as rational numbers?

• No, because they are not fractions

• Yes, because they are always positive

• No, because they are whole numbers

• Yes, because they can be written as a fraction with denominator 1

How do we plot rational numbers on a number line?

• By marking both positive and negative numbers

• By marking only the positive numbers

• By marking only the negative numbers

• By marking only the integers

How would you compare the rational numbers 6/7 and 13/15?

• By converting them to decimals

• By comparing their numerators

• By comparing their denominators

• By converting them to integers