### Subtract Rational Numbers

LESSON 7

#### Applications of Subtracting Rational Numbers

Ping dove off a 10-meter platform. He reached a depth of 6 meters in the water.

What was the change in height?

A. 4 meters
B. 60 meters
C. 64 meters
D. 16 meters



Answer :

Certainly! Let's solve the problem step-by-step:

1. Understand the Problem:
- Ping dives off a platform that is 10 meters high.
- After diving, Ping reaches a depth of 6 meters below the water surface.

2. Visualize the Scenario:
- The diving platform is located 10 meters above the water surface.
- When Ping dives, he moves 10 meters downward to reach the water surface.
- From the water surface, he continues to dive an additional 6 meters to reach a depth below the water surface.

3. Measure the Total Change in Height:
- Let's break it down:
- From the platform to the water surface: -10 meters (since he is moving down)
- From the water surface to the depth he reached: -6 meters (again moving down)

4. Sum the Changes in Height:
- Change from platform to water surface: -10 meters
- Additional change in height as Ping dives deeper: -6 meters
- Total change in height: -10 meters + (-6 meters) = -16 meters

5. Interpret the Solution:
- Since both movements are downward, the total change in height from the 10 meter platform to the 6 meter depth is the sum of these two changes.
- However, since the question asks for the change in height without regard to direction (up or down), we consider the magnitude.
- Thus, the change in height is a total of 16 meters.

Conclusion:

The correct answer, representing the total change in height, is:
- 16 meters

So, out of the options provided, the correct choice is:
- 16 meters