WEEK 3: CALCULATEDISTANCES BETWEEN SETTLEMENTS USING DIFFERENT SCALES (GLOBAL AND SOUTH AFRICA) 3.1.1 Explain the following concepts: a) scale: b) representative: 3.1.2 Expiain what does $$ 1: 10000 $$ stand for in a statement. 3.1.3 Explain the following with regards to the objects: a) 10 m : b) 100 m : c) Kilometer: 3.1.4 Complete the following statement: There are three ways of stating the scale of a map $$ \qquad $$ $$ 4 imes 1 $$ 14) $$ \qquad $$ and $$ \qquad $$ . All three, ways of stating the scale of a map refer to $$ \qquad $$ not areas. 3.1.5 Why do atiases show the whole worid on small scale? 3.16 If you want to use an atias to find a small town in a country, would you choose a small scale or a large scale? Motivate/support your answer. $$ 1 imes 2 $$ L2 $$ 1+2 \quad $$ (3) )

Question

WEEK 3: CALCULATEDISTANCES BETWEEN SETTLEMENTS USING DIFFERENT SCALES (GLOBAL AND SOUTH AFRICA) 3.1.1 Explain the following concepts: a) scale: b) representative: 3.1.2 Expiain what does $$ 1: 10000 $$ stand for in a statement. 3.1.3 Explain the following with regards to the objects: a) 10 m : b) 100 m : c) Kilometer: 3.1.4 Complete the following statement: There are three ways of stating the scale of a map $$ \qquad $$ $$ 4 	imes 1 $$ 14) $$ \qquad $$ and $$ \qquad $$ . All three, ways of stating the scale of a map refer to $$ \qquad $$ not areas. 3.1.5 Why do atiases show the whole worid on small scale? 3.16 If you want to use an atias to find a small town in a country, would you choose a small scale or a large scale? Motivate/support your answer. $$ 1 	imes 2 $$ L2 $$ 1+2 \quad $$ (3) )

UpStudy AI · Accepted Answer

Certainly! Let's address each of your questions related to map scales and related concepts systematically.

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### **3.1.1 Explain the following concepts:**

#### **a) Scale:**
**Definition:**  
The scale of a map indicates the relationship between distances on the map and actual distances on the ground. It shows how much the real world has been reduced to fit on the map.

**Explanation:**  
For example, a scale of 1:50,000 means that 1 unit of measurement on the map (e.g., 1 centimeter) represents 50,000 of the same units in reality (e.g., 50,000 centimeters or 500 meters). Map scale is crucial for determining the level of detail and the extent of the area covered by the map.

#### **b) Representative Fraction (RF):**
**Definition:**  
The representative fraction is a numerical way of expressing the scale of a map, written as a ratio or fraction, such as 1:50,000.

**Explanation:**  
In an RF of 1:50,000, the first number (1) represents one unit of measurement on the map, and the second number (50,000) represents the same units in the real world. This method is dimensionless, meaning it doesn't depend on the type of unit (meters, feet, inches) used, making it universally applicable.

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### **3.1.2 Explain what does $$ 1:10,000 $$ stand for in a statement.**

**Explanation:**  
The notation $$ 1:10,000 $$ is a representative fraction indicating the scale of a map. It means that **1 unit of measurement on the map is equivalent to 10,000 of the same units in the real world**.

**Example:**  
- If you're using centimeters as your unit, 1 cm on the map equals 10,000 cm in reality (which is 100 meters).
- If using inches, 1 inch on the map represents 10,000 inches in reality (approximately 833.3 feet).

This scale suggests a relatively large-scale map, suitable for showing detailed information over smaller areas.

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### **3.1.3 Explain the following with regards to the objects:**

#### **a) 10 m:**
**Explanation:**  
A distance of 10 meters is a linear measurement often used in detailed maps, such as architectural plans or site maps. On a large-scale map (e.g., 1:10,000), 10 meters in reality might be represented by 1 centimeter on the map, allowing for precise depiction of small areas.

#### **b) 100 m:**
**Explanation:**  
A 100-meter distance is suitable for showing neighborhoods or small towns on maps. On a map with a scale of 1:50,000, 100 meters in reality would be represented by 2 centimeters, providing a balance between area coverage and detail.

#### **c) Kilometer:**
**Explanation:**  
A kilometer is a larger unit of distance often used in regional or national maps. On a small-scale map (e.g., 1:1,000,000), 1 kilometer in reality might be depicted as 1 centimeter on the map, allowing the map to cover extensive areas like entire countries or continents with less detail.

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### **3.1.4 Complete the following statement:**

**Original Statement:**
> There are three ways of stating the scale of a map $$ \qquad $$  
> $$ 4 	imes 1 $$  
> 14)  
> $$ \qquad $$ and $$ \qquad $$.  
> All three, ways of stating the scale of a map refer to $$ \qquad $$ not areas.

**Completed Statement:**
> There are three ways of stating the scale of a map **verbal scale, representative fraction, and graphic (or bar) scale**.  
> All three ways of stating the scale of a map refer to **linear distances** not areas.

**Explanation:**
1. **Verbal Scale:** Describes the scale in words (e.g., "One inch equals one mile").
2. **Representative Fraction (RF):** Uses a ratio (e.g., 1:50,000).
3. **Graphic (Bar) Scale:** Uses a visual bar with marked distances corresponding to real-world distances.

These methods all relate to **linear measurements**, meaning they describe how distances on the map translate to distances in reality, rather than areas.

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### **3.1.5 Why do atlases show the whole world on small scale?**

**Explanation:**
Atlases typically use **small-scale maps** because they need to display large areas, such as entire continents or the whole world, on a single page. A small-scale map (e.g., 1:1,000,000) means that a large area is reduced significantly, allowing the atlas to include multiple regions within a limited space. This trade-off means that while the map covers a vast area, it shows less detail compared to large-scale maps.

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### **3.1.6 If you want to use an atlas to find a small town in a country, would you choose a small scale or a large scale? Motivate/support your answer.**

**Answer:**  
**You would choose a small scale map** to find a small town in a country using an atlas.

**Motivation/Support:**
- **Coverage:** A small-scale map covers a larger area, such as an entire country, making it suitable for locating small towns within that broader region.
- **Context:** It provides the necessary geographic context, showing where the small town is in relation to major cities, roads, and other significant landmarks.
- **Atlas Design:** Since atlases are designed to present broad overviews, their small-scale maps are ideal for identifying the general location of smaller settlements before possibly referring to a more detailed, large-scale map for fine details.

**Example:**  
Using a small-scale map like 1:1,000,000 allows you to see the entire country on a single page. You can locate the region where the small town is situated and then use a more detailed map if available for specific directions or finer details.

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Feel free to ask if you need further clarification on any of these topics!
**3.1.1 Concepts:** a) **Scale:** The scale of a map shows the relationship between distances on the map and real distances. For example, 1:50,000 means 1 unit on the map equals 50,000 units in reality. b) **Representative Fraction (RF):** A way to express map scale as a ratio, like 1:50,000, indicating that 1 unit on the map represents 50,000 units in the real world. **3.1.2 Explanation of $$ 1:10,000 $$:** The notation $$ 1:10,000 $$ means that 1 unit on the map equals 10,000 of the same units in reality. For example, 1 centimeter on the map represents 10,000 centimeters (100 meters) in the real world. **3.1.3 Distances Explained:** a) **10 meters:** On a large-scale map (e.g., 1:10,000), 10 meters in reality is represented by 1 centimeter on the map. b) **100 meters:** On a map with a scale of 1:50,000, 100 meters in reality is shown as 2 centimeters on the map. c) **Kilometer:** On a small-scale map (e.g., 1:1,000,000), 1 kilometer in reality is depicted as 1 centimeter on the map. **3.1.4 Completing the Statement:** There are three ways of stating the scale of a map: **verbal scale, representative fraction, and graphic (or bar) scale**. All three methods refer to **linear distances**, not areas. **3.1.5 Why Atlases Use Small Scale:** Atlases use small-scale maps to display large areas like entire continents or the whole world on a single page. This allows for broad overviews but with less detail. **3.1.6 Choosing Map Scale for Finding a Small Town:** To find a small town in a country using an atlas, **use a small-scale map**. This provides a broad overview of the country, showing the general location of the town. If more detail is needed, refer to a larger-scale map for specific directions or finer details. --- Feel free to ask if you need more information!

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