Exploring Rational Numbers on a Number Line

The video tutorial explains how to represent rational numbers on a number line. It begins with an introduction to the number line, detailing how positive and negative integers are represented. The tutorial then discusses how to plot rational numbers, emphasizing the concept of corresponding integers. Finally, it classifies rational numbers into two categories based on the relationship between the numerator and the denominator, providing examples for better understanding.

Where are positive integers represented on a number line?

• To the left of zero

• Above zero

• Below zero

• To the right of zero

What happens to the numbers as we move towards the right on a number line?

• They decrease

• They increase

• They stay the same

• They disappear

What is the corresponding integer for the integer 2?

• Plus 2

• Minus 1

• Minus 2

• Zero

Which integer does not have a corresponding integer?

• One

• Zero

• Minus one

• Two

If 'three by four' is plotted on the right side of zero, where would 'minus three by four' be plotted?

• At the same distance on the right side

• At the same distance on the left side

• At zero

• At a different distance on the left side

How do we classify rational numbers for plotting on a number line?

• Based on whether the numerator is equal to the denominator

• Based on whether the numerator is less than or greater than the denominator

• Based on whether the denominator is positive or negative

• Based on whether the numerator is positive or negative

When comparing 'minus 9 by 5', which values do we consider?

• 9 and minus 5

• 9 and 5

• Minus 9 and 5

• Minus 9 and minus 5

In which category does 'minus 9 by 5' fall?

• Denominator greater than numerator

• Numerator less than denominator

• Numerator equal to denominator

• Numerator greater than denominator