Combining Opposite Rational Numbers to Make Zero on a Number Line

The video tutorial explains how opposite rational numbers combine to make zero on a number line. It begins by defining rational numbers and clarifying their relationship with integers. The tutorial then discusses how positive and negative signs indicate direction on a number line. Through real-life examples, such as earning and spending money or a penguin diving and resurfacing, the concept of opposite numbers is illustrated. The lesson concludes by reinforcing the idea that opposite rational numbers can be used to make zero, even if starting and ending points are not at zero.

Which of the following is a rational number?

• e

• 3/4

• Pi

• Square root of 2

What does a negative sign indicate on a number line?

• Moving to the right

• Moving to the left

• Staying at zero

• Moving upwards

If you travel 5 units in the positive direction and then 5 units in the negative direction, where do you end up?

• At 5

• At 10

• At -5

• At 0

James earns $5.25 and spends it all. What is the net effect?

• He has $10.50

• He owes $5.25

• He has $0

• He has $5.25

A penguin dives 3.5 feet down and then swims back up 3.5 feet. What is the result?

• The penguin is at the surface

• The penguin is 7 feet below the surface

• The penguin is 3.5 feet above the surface

• The penguin is 3.5 feet below the surface