https://file.aiquickdraw.com/mathbot/file/17286034131735pmn2edz.jpg

Let's work through the questions step-by-step based on what is visible from the image.

### 1. Use the expression 7 - 10 to complete parts (a) - (d):
#### a. Use a number line to model the expression.
To model \(7 - 10\) on a number line, start at 7 and move 10 steps to the left (because we are subtracting). You'll end up at \(-3\).

#### b. Write the subtraction expression as an equivalent addition expression.
Subtraction can be rewritten as adding the opposite. So, \(7 - 10\) is equivalent to:
\[
7 + (-10)
\]

#### c. Determine the sum of the expression from part (b).
Now we add \(7 + (-10)\):
\[
7 + (-10) = -3
\]

#### d. Evaluate 7 - 10.
As shown in parts (b) and (c), \(7 - 10 = -3\).

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### 2. Use the expression \(-2 - 5\) to complete parts (a) - (d):
#### a. Use a number line to model the expression.
For \(-2 - 5\), start at \(-2\) on the number line and move 5 steps to the left. You will end up at \(-7\).

#### b. Write the subtraction expression as an equivalent addition expression.
Rewrite \(-2 - 5\) as:
\[
-2 + (-5)
\]

#### c. Determine the sum of the expression from part (b).
Adding \(-2 + (-5)\):
\[
-2 + (-5) = -7
\]

#### d. Evaluate \(-2 - 5\).
The answer is \(-7\), as calculated above.

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Would you like to explore more about these concepts? Here are 5 related questions to deepen your understanding:

1. What is the difference between subtraction and adding a negative number?
2. Can all subtraction problems be rewritten as addition problems? Why?
3. How would you represent a more complex subtraction like \(12 - 17\) on a number line?
4. What happens if you subtract a negative number? How does that affect the direction on a number line?
5. Can you create your own number line problem using subtraction, and solve it?

### Tip:
When working with negative numbers on a number line, remember that subtracting a number moves you left, while adding a number moves you right.

Use the expressions 7 - 10 and -2 - 5 to complete the tasks: model with a number line, rewrite as addition, and evaluate.

Learn how to solve integer subtraction problems like 7 - 10 and -2 - 5 by modeling on a number line and converting them to equivalent addition problems. This guide is perfect for students in Grades 6-7, covering the key concepts of subtraction, addition of negatives, and integer properties.

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