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Let's go through the questions one by one and provide solutions:

---

**11. Answer the following:**

**a. The number 6 is 7 units away from 13 on a number line. Which other integer is 7 units away from 6 on a number line?**

We need to find another number, \( x \), such that the distance between \( 6 \) and \( x \) is 7. This can be expressed as:

\[
|6 - x| = 7
\]

This gives two possibilities:

\[
6 - x = 7 \quad \text{or} \quad 6 - x = -7
\]

Solving both:

1. \( 6 - x = 7 \Rightarrow x = -1 \)
2. \( 6 - x = -7 \Rightarrow x = 13 \)

So, the other integer is **-1**.

---

**b. Which two integers are 10 units away from 5 on a number line?**

This is similar to the previous problem. We need two numbers that are 10 units away from 5. The equation is:

\[
|5 - x| = 10
\]

This gives two possibilities:

\[
5 - x = 10 \quad \text{or} \quad 5 - x = -10
\]

Solving both:

1. \( 5 - x = 10 \Rightarrow x = -5 \)
2. \( 5 - x = -10 \Rightarrow x = 15 \)

The two integers are **-5** and **15**.

---

**c. Starting at -7 on a number line, Darcy moved 4 units to the right. What integer did Darcy land on?**

When Darcy moves 4 units to the right from -7, the calculation is:

\[
-7 + 4 = -3
\]

Darcy landed on **-3**.

---

**12. Label each point on the number line with the letter that is the closest approximate value.**

The points given on the number line are labeled with letters, and the closest values are given. Let's match the points with the letters:

- **A (-1.2)**
- **B (1.2)**
- **C (-0.85)**
- **D (0.62)**
- **E (-0.55)**

Looking at the number line provided:
- Point near -1 corresponds to **A (-1.2)**
- Point slightly past -0.5 corresponds to **E (-0.55)**
- Point near -0.8 corresponds to **C (-0.85)**
- Point near 0.6 corresponds to **D (0.62)**
- Point near 1 corresponds to **B (1.2)**

---

**13. Create a point on each number line to represent the value 0.15.**

For each number line:
- On the top line, locate a point close to 0.15 between 0 and 0.2.
- On the bottom line, mark 0.15 about halfway between 0.1 and 0.2.

---

**14. Represent the shaded portion of each figure as a fraction, decimal, and percent.**

**a.** The shape is divided into **4 parts**, with **2 parts shaded**.

- Fraction: \( \frac{2}{4} = \frac{1}{2} \)
- Decimal: 0.5
- Percent: 50%

**b.** The shape is divided into **6 parts**, with **1 part shaded**.

- Fraction: \( \frac{1}{6} \)
- Decimal: \( \approx 0.1667 \)
- Percent: \( \approx 16.67\% \)

---

**15. Assume each shape represents one whole. Shade 75% of each shape below.**

To shade 75%, you need to:

**a.** Circle: Divide the circle into 4 equal parts and shade 3 of them.

**b.** Rectangle divided into 8 sections: Shade 6 out of the 8 sections.

**c.** Grid with 100 squares: Shade 75 squares.

---

Would you like more details on any of these solutions or explanations?

Here are some follow-up questions for further practice:

1. What other number is 5 units away from 10 on the number line?
2. How do you find a number that is a certain distance away on a number line?
3. Can you describe the pattern for finding two numbers a given distance apart?
4. How would you represent 0.75 on a number line?
5. If a shape is divided into 12 parts, how many parts should be shaded for 66.67%?

**Tip:** When dealing with distances on a number line, remember that absolute value is key. It measures how far a number is from zero, ignoring direction.

Math worksheet with various problems on number lines, fractions, decimals, and percentages.

Solve problems on number lines, distance calculations, fractions, decimals, and percentages. This worksheet includes step-by-step instructions for students in Grades 5-7. Key concepts include identifying points on a number line and converting between fractions, decimals, and percentages.

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