Multiplication & Division Learning

🚂 The Transport Museum 🚌

Chapter 13 - Interactive Multiplication & Division Learning

🔍 Mystery Matrix - Fill the Missing Numbers!

Use the row and column products to find the missing factors. Click "New Puzzle" to generate a fresh challenge!

🧠 How to Solve Mystery Matrix:

1. Look at the products: The numbers in red are the results of multiplying the row and column
2. Work backwards: If you know 6 × ? = 24, then ? = 24 ÷ 6 = 4
3. Use what you know: Once you find one number, use it to find others
4. Check your work: Make sure all products match!

✖️ Multiplying by 10, 100, and 1000

Enter a number:

🎯 Quick Practice - Times 10

🚂 Train Cars Problem:

Each train has 8 cars. How many cars in 10 trains?

🚌 Bus Seats Problem:

Each bus has 25 seats. How many seats in 10 buses?

📚 The Magic of Multiplying by 10s

✖️ By 10:

• 🚂 2 trains × 10 stations = 20 stops
• 🎫 16 tickets × 10 days = 160 tickets sold
• 🚌 8 buses × 10 routes = 80 daily trips
• ⛽ 12 liters × 10 cars = 120 liters fuel
• Pattern: Just add a zero!

✖️ By 100:

• 🚁 3 helicopters × 100 flights = 300 flights
• 🛳️ 14 ships × 100 containers = 1400 containers
• 🚲 25 bikes × 100 days = 2500 bike rides
• 🏍️ 7 motorcycles × 100 km = 700 km traveled
• Pattern: Just add two zeros!

🌍 Real Transport Examples

🚄 High-Speed Rail Network

Scenario: A bullet train travels at 300 km/h

• In 10 hours: 300 × 10 = 3000 km
• That's like traveling from Delhi to Chennai!

✈️ Airport Operations

Scenario: An airport handles 50 flights per hour

• In 10 hours: 50 × 10 = 500 flights
• In 100 hours: 50 × 100 = 5000 flights

🚢 Cargo Ship Loading

Scenario: Each container weighs 25 tons

• 10 containers: 25 × 10 = 250 tons
• 100 containers: 25 × 100 = 2500 tons

📊 Constructing Times Tables (11-20)

Select Table: Times 11 Times 12 Times 13 Times 14 Times 15 Times 16 Times 17 Times 18 Times 19 Times 20

🎯 Building Times-15 Table (10 + 5 Strategy)

Breaking down 15 = 10 + 5:

1 × 15 = (1 × 10) + (1 × 5) = 10 + 5 = 15

2 × 15 = (2 × 10) + (2 × 5) = 20 + 10 = 30

3 × 15 = (3 × 10) + (3 × 5) = 30 + 15 = 45

4 × 15 = (4 × 10) + (4 × 5) = 40 + 20 = 60

Try it: ? × 15 =

🔍 Comparing Table Patterns

Times 5 vs Times 15:

5 × 3 = 15
15 × 3 = 45
15 table = 5 table × 3

Times 1 vs Times 11:

1 × 4 = 4
11 × 4 = 44
Notice the pattern!

🎯 Splitting and Doubling Strategy

Example: 3 × 14 using doubling

Step 1: Find 3 × 7 = 21

Step 2: Double it! 21 × 2 = 42

Result: 3 × 14 = 42 ✅

Try: ? × 14 =

📦 Large Multiplication - Distributive Property

First Number: Second Number:

➗ Division by 10 and 100

🌾 Rice Sack Problem

A truck carries 600 kg of rice in sacks of 10 kg each.

How many sacks are there?

🚂 Punjab Mail Train Problem

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The Punjab Mail has 15 coaches. Each coach has 14 seats.

Question: How many passengers can the train carry?

Bonus: If 324 passengers want to travel, how many coaches do we need?

🚌 School Trip Bus Problem

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Each bus ticket costs ₹25. There are 48 students going on the trip.

Question: What is the total cost for all tickets?

🛥️ Chilika Lake Boat Rides

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Boat rides cost ₹15 per person. A family of 6 people wants to go.

Question: How much will they pay in total?

Challenge: If they have ₹100, how much change will they get?

🚗 Auto Rickshaw Fare Calculator

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Auto fare: ₹12 per km. Distance: 8 km

Question: What's the total fare?

🚲 Bicycle Rental Shop

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Rental: ₹25 per hour. 12 customers rent for 3 hours each

Question: What's the shop's total income?

🚁 Helicopter Tour Package

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Tour cost: ₹2500 per person. Group size: 8 people

Question: What's the total package cost?

Bonus: If they get a 10% group discount, how much do they save?

🚛 Goods Transportation

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Each truck carries 15 tons. 24 trucks in the fleet

Question: What's the total carrying capacity?

Challenge: If they need to transport 450 tons, how many trips are needed?

🔢 Amazing Multiplication Patterns

11 × 11 = 121

11 × 12 = 132

11 × 13 = 143

Notice the middle digit!

11 × 14 = 154

11 × 15 = 165

11 × 16 = 176

1 + 4 = 5, 1 + 5 = 6, 1 + 6 = 7

13 × 13 = 169

14 × 14 = 196

15 × 15 = 225

Perfect squares pattern!

25 × 4 = 100

25 × 8 = 200

25 × 12 = 300

25 × (4n) = 100n

🎯 Pattern Discovery Challenge

Find the pattern: 11 × ? = ?

🧮 Number Grid Puzzle

Shade all the multiples of 6 in the grid below:

🪙 Chinnu's Coins - Ticket Purchase Problem

🎫 Movie Ticket Counter

Chinnu wants to buy a ticket that costs ₹47

Help him use the right combination of coins!

₹1

₹2

₹5

₹10

₹20

Selected Coins:

Total: ₹0

🎯 Coin Combination Challenges

Challenge 1: Make ₹35

Find 3 different ways to make ₹35 using coins

Challenge 2: Minimum Coins

What's the minimum number of coins needed for ₹73?

📚 Money Math Facts

💡 Smart Strategies:

• Use larger coins first (₹20, ₹10)
• ₹5 coins are great for amounts ending in 5
• ₹2 coins help with even amounts
• ₹1 coins fill the remaining gap

🧮 Quick Combinations:

• ₹10 = 5×₹2 = 10×₹1
• ₹20 = 2×₹10 = 4×₹5
• ₹25 = 1×₹20 + 1×₹5
• ₹50 = 2×₹20 + 1×₹10

🎯 Real Shopping Scenarios

🍿 Movie Theater Snacks

Popcorn: ₹45, Cold drink: ₹35, Nachos: ₹55

Challenge: Buy any 2 items and calculate exact change from ₹100

🎫 Metro Card Recharge

Minimum recharge: ₹100, Maximum: ₹500

Practice: Make ₹150 using different coin combinations

🚌 Bus Pass Purchase

Daily pass: ₹25, Weekly pass: ₹150, Monthly pass: ₹500

Question: How much do you save buying monthly vs daily for 30 days?

🏪 Street Vendor Math

🥤 Juice Stall

Fresh juice: ₹15 per glass

18 customers buy juice in the morning

Question: What's the morning income?

🍌 Fruit Vendor

Bananas: ₹8 per dozen

Sold 25 dozens today

Question: What's the total earning?