Directions

### Part A

Ashley dives in increments of 10 feet. What rational number represents diving 10 feet below sea level?

**Response**: The rational number that represents diving 10 feet below sea level is **-10**.

### Part B
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.

**Response**: The numerical expression is **-60 / -10**.

### Part C
Is the number of increments in part B positive or negative?

**Response**: The number of increments is **positive**.

### Part D
Rewrite the expression from part B by distributing -1 from each of the negative numbers.

**Response**: The expression from part B can be rewritten as **-(60 / 10)**.

### Part E
If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?

**Response**: The result of dividing any number by itself is **1** (as long as the number is not zero). In the expression from part D, you can apply this result by stating that **(60 / 10) = 6**, so the expression becomes **-6**.

### Part F
Based on your work so far, how many increments of -10 feet are in -60 feet?

**Response**: There are **6** increments of -10 feet in -60 feet.

### Part G
Copy and paste this image into the space below the correct number of times to show an elevation of -60 feet.

A down arrow implying 10 feet.

**Response**:
⬇️⬇️⬇️⬇️⬇️⬇️

### Part H
Suppose that Ashley’s brother, Alex, makes the same dive in 4 increments instead of 6. Write a numerical expression to represent Alex’s elevation change in feet per increment.

**Response**: The numerical expression is **-60 / 4**.

### Part I
How many negative numbers are in the expression in part H? What will the sign of the solution be? How do you know?

**Response**: There is **1 negative number** in the expression in part H. The sign of the solution will be **negative** because dividing a negative number by a positive number results in a negative number.

### Part J
What was Alex’s elevation change in feet per increment?

**Response**: Alex’s elevation change in feet per increment is **-15** feet.

### Self-Evaluation
How did you do? Rate your work on a scale of 1 to 5, with 5 as the highest score. Then write a brief evaluation of your work below. Note what you learned and what challenged you.

**Response**: I would rate my work a **5**. I feel confident that I accurately answered each part of the activity. I learned how to represent descent in terms of rational numbers and the importance of understanding the signs of the results in such situations. The challenge was ensuring I correctly distributed and interpreted the expressions throughout, but I feel I effectively managed that.