Opposites and Rational Numbers

This video tutorial covers the concept of opposites in rational numbers, explaining how positive and negative numbers are positioned on a number line. It uses the example of sea level to illustrate how water levels can be represented as rational numbers. The tutorial includes graphing exercises, showing how to plot points and identify opposites on both horizontal and vertical number lines. The lesson concludes with a brief introduction to the absolute value of rational numbers.

What is the position of positive numbers on a number line?

• Above zero

• At zero

• To the right of zero

• To the left of zero

How are negative numbers represented on a number line?

• To the right of zero

• To the left of zero

• At zero

• Above zero

What is true about opposites on a number line?

• They are equidistant from zero

• They are on the same side of zero

• They are both positive

• They are both negative

Which of the following pairs are opposites?

• -1 and 1

• 0 and 0

• 2 and 2

• 3 and -3

How is a water level below sea level represented?

• As a positive number

• As a fraction

• As a negative number

• As zero

What does a water level of 0.5 feet indicate?

• Halfway between 1 and 2

• Halfway between 0 and 1

• Exactly at 1

• Exactly at 0

Where would you plot 3.5 on a number line?

• Between 2 and 3

• At 3

• Between 4 and 5

• Between 3 and 4

What is the opposite of -3.5?

• 3.5

• -3.5

• -4

• 0

How do you represent 0.25 on a number line?

• As zero

• As one-fourth

• As three-fourths

• As one-half

What does 0.75 represent on a number line?

• Zero

• One-half

• One-fourth

• Three-fourths