This Grade 5 worksheet helps students visualize positive and negative integers by labeling points and calculating movements on a number line.

Problem Overview:

The worksheet involves working with integers on a number line. There are two main sections:

1. Section A: Label the given integers on the number line.
2. Section B: Determine the integer being described based on movements along the number line.

Let's solve each section step by step.

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Section A: Label the given integers on the number line

The integers to label are:
1. \( 2 \)
2. \( -2 \)
3. \( 9 \)
4. \( 11 \)
5. \( -5 \)
6. \( -9 \)
7. \( 12 \)
8. \( -12 \)
9. \( 7 \)
10. \( 5 \)

#### Solution:
To label these integers on the number line:
- Start at 0 and move right for positive integers.
- Start at 0 and move left for negative integers.

Here are the positions:
1. \( 2 \): Two units to the right of 0.
2. \( -2 \): Two units to the left of 0.
3. \( 9 \): Nine units to the right of 0.
4. \( 11 \): Eleven units to the right of 0.
5. \( -5 \): Five units to the left of 0.
6. \( -9 \): Nine units to the left of 0.
7. \( 12 \): Twelve units to the right of 0.
8. \( -12 \): Twelve units to the left of 0.
9. \( 7 \): Seven units to the right of 0.
10. \( 5 \): Five units to the right of 0.

Final Answer for Section A:
\[
\boxed{
\begin{array}{ll}
1) & 2 \\
2) & -2 \\
3) & 9 \\
4) & 11 \\
5) & -5 \\
6) & -9 \\
7) & 12 \\
8) & -12 \\
9) & 7 \\
10) & 5 \\
\end{array}
}
\]

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Section B: Using the number line, determine the integer being described below

The descriptions are:
1. 5 units to the left of \(-3\)
2. 3 units to the right of 9
3. 6 units to the left of \(-6\)
4. 9 units to the right of \(-5\)
5. 2 units to the right of 3
6. 4 units to the right of \(-4\)
7. 1 unit to the right of 11
8. 3 units to the left of \(-7\)
9. 5 units to the right of \(-10\)
10. 2 units to the right of 4

#### Solution:
For each description, start at the given point and move the specified number of units in the indicated direction.

1. 5 units to the left of \(-3\):
- Start at \(-3\).
- Move 5 units left: \(-3 - 5 = -8\).
- Result: \(-8\).

2. 3 units to the right of 9:
- Start at 9.
- Move 3 units right: \(9 + 3 = 12\).
- Result: \(12\).

3. 6 units to the left of \(-6\):
- Start at \(-6\).
- Move 6 units left: \(-6 - 6 = -12\).
- Result: \(-12\).

4. 9 units to the right of \(-5\):
- Start at \(-5\).
- Move 9 units right: \(-5 + 9 = 4\).
- Result: \(4\).

5. 2 units to the right of 3:
- Start at 3.
- Move 2 units right: \(3 + 2 = 5\).
- Result: \(5\).

6. 4 units to the right of \(-4\):
- Start at \(-4\).
- Move 4 units right: \(-4 + 4 = 0\).
- Result: \(0\).

7. 1 unit to the right of 11:
- Start at 11.
- Move 1 unit right: \(11 + 1 = 12\).
- Result: \(12\).

8. 3 units to the left of \(-7\):
- Start at \(-7\).
- Move 3 units left: \(-7 - 3 = -10\).
- Result: \(-10\).

9. 5 units to the right of \(-10\):
- Start at \(-10\).
- Move 5 units right: \(-10 + 5 = -5\).
- Result: \(-5\).

10. 2 units to the right of 4:
- Start at 4.
- Move 2 units right: \(4 + 2 = 6\).
- Result: \(6\).

Final Answer for Section B:
\[
\boxed{
\begin{array}{ll}
1) & -8 \\
2) & 12 \\
3) & -12 \\
4) & 4 \\
5) & 5 \\
6) & 0 \\
7) & 12 \\
8) & -10 \\
9) & -5 \\
10) & 6 \\
\end{array}
}
\]

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Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Section A:} & \begin{array}{ll}
1) & 2 \\
2) & -2 \\
3) & 9 \\
4) & 11 \\
5) & -5 \\
6) & -9 \\
7) & 12 \\
8) & -12 \\
9) & 7 \\
10) & 5 \\
\end{array} \\
\text{Section B:} & \begin{array}{ll}
1) & -8 \\
2) & 12 \\
3) & -12 \\
4) & 4 \\
5) & 5 \\
6) & 0 \\
7) & 12 \\
8) & -10 \\
9) & -5 \\
10) & 6 \\
\end{array}
\end{array}
}
\]