Exploring the Plotting of Rational Numbers

This video tutorial introduces rational numbers, explaining their complexity compared to integers. It covers how to represent rational numbers on a number line, including plotting fractions and decimals. The tutorial provides practice exercises for plotting and identifying locations on a number line, emphasizing the importance of understanding rational numbers in mathematics.

What are rational numbers?

• Whole numbers only

• Fractions and decimals

• Negative numbers only

• Positive numbers only

Which of the following is a rational number?

• -2

• 1.5

• 3

• 0

How do you divide a number line into fourths?

• Divide it into five sections

• Divide it into four sections

• Divide it into three sections

• Divide it into two sections

Where would you plot 3/4 on a number line?

• Between -1 and 0

• Between 1 and 2

• Between 0 and 1

• Between -2 and -1

If a seagull is flying at 3/4 of a yard above sea level, where would you plot it?

• At 3/4

• At 1/4

• At 1/2

• At 1

How would you plot -1/4 on a number line?

• Move to the left of -1

• Move to the right of 1

• Move to the left of 0

• Move to the right of 0

What is the decimal equivalent of -1/2?

• -0.5

• 0.25

• 0.5

• -0.25

How would you plot 0.25 on a number line?

• Move 1/4 to the right of 0

• Move 1/2 to the right of 0

• Move 3/4 to the right of 0

• Move 1 to the right of 0

If point A is halfway between 0 and -1, what is its value?

• -1/4

• -1/2

• -3/4

• -1

If point B is 3/4 to the right of 0, what is its value?

• 1

• 3/4

• 1/2

• 1/4