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Multiplying by 10: Patterns and Strategies

Mathematics Grade 3 Difficulty 1/5

Beginning of the lesson

Understanding Multiplication by 10

🎯 What You'll Learn: When you multiply any number by 10, something magical happens - you just add a zero to the end! Let's discover why this works.

Part 1: Discovering the Pattern

Let's start by counting by 10s. This is like skip counting!

Skip Counting by 10s:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Notice: Each number ends with a zero!

The 10 Times Table:
  • 1 × 10 = 10
  • 2 × 10 = 20
  • 3 × 10 = 30
  • 4 × 10 = 40
  • 5 × 10 = 50
  • 6 × 10 = 60
  • 7 × 10 = 70
  • 8 × 10 = 80
  • 9 × 10 = 90
  • 10 × 10 = 100
🌟 The BIG Discovery: When we multiply any number by 10, we add a zero to the end of that number!
The Pattern of Multiplying by 103×10=30Start with 3Multiply by 10Add a zero!7×10=70

Part 2: Why Does This Pattern Work?

The secret is in place value! Remember, every digit has a place: ones, tens, hundreds.

Place Value Magic

When we multiply by 10, each digit moves ONE place to the LEFT:

  • Ones become tens
  • Tens become hundreds
  • Hundreds become thousands
How 4 × 10 = 40 WorksBEFORE (just 4):Hundreds-Tens-Ones4AFTER (4 × 10 = 40):Hundreds-Tens4Ones0The 4 movesto the tens place!We need a zeroas a placeholder
💡 Important: The zero we add is called a placeholder. It shows that the ones place is empty!

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 15
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers