Maps with decimal distances

key notes :

📏 What is a Map Distance?

Map distance is the distance between two points on a map.

Usually measured in centimeters (cm) or meters (m) depending on the map.

🧮 Using Decimals in Maps

Sometimes, distances are not whole numbers → we use decimal numbers.

Example: 3.5 km, 2.75 km.

Decimals make distances more accurate.

🗺️ Scale of a Map

Scale shows how map distances relate to real distances.

Example: 1 cm : 5 km → 1 cm on the map = 5 km in real life.

Formula: Real Distance=Map Distance×Scale Factor\text{Real Distance} = \text{Map Distance} \times \text{Scale Factor}Real Distance=Map Distance×Scale Factor

➕ Adding Decimal Distances

When traveling multiple routes, add decimal distances carefully.

Example: 2.5 km + 3.7 km = 6.2 km ✅

➖ Subtracting Decimal Distances

To find shorter distances between points, subtract decimals.

Example: 5.6 km − 2.4 km = 3.2 km ✅

✖️ Multiplying Decimal Distances

Sometimes, a map distance is multiplied by a scale to get real distance.

Example: Map distance = 2.4 cm, Scale = 5 km/cm → Real distance = 2.4 × 5 = 12 km

➗ Dividing Decimal Distances

Used when finding distance per unit.

Example: 15 km ÷ 3 = 5 km per route

📌 Tips for Accuracy

Always align decimal points when adding or subtracting.

Check units: cm on map vs km in real life.

Round decimals only when necessary.

🎯 Practice Makes Perfect

Measure distances on any map and convert using scale.

Use decimal operations to calculate total, remaining, or per unit distances.

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💡 Fun Emoji Memory Trick:

• 📏 → measure
• 🗺️ → map
• 🧮 → decimal calculation
• ➕➖✖️➗ → add, subtract, multiply, divide distances

Learn with an example

Let’s practice!