Addition patterns over increasing place values

Key notes

Key Points:

Place Values:

• Ones (1) – smallest place value.
• Tens (10) – next bigger place value.
• Hundreds (100) – bigger than tens.
• Thousands (1000) – bigger than hundreds.

Addition Patterns:

• When we add the same number to 1-digit, 2-digit, 3-digit, or 4-digit numbers, a pattern is formed.
• Each time, the place value of the digits increases, but the addition rule remains the same.

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✨ Examples of Addition Patterns:

🔹 Example 1: Adding 5

• 4 + 5 = 9
• 40 + 5 = 45
• 400 + 5 = 405
• 4000 + 5 = 4005

👉 Pattern: As we move to higher place values, the digit 4 shifts (ones → tens → hundreds → thousands), but we still add 5.

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🔹 Example 2: Adding 10

• 6 + 10 = 16
• 60 + 10 = 70
• 600 + 10 = 610
• 6000 + 10 = 6010

👉 Pattern: The number 6 changes place value each time, but the addition is still by 10.

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🔹 Example 3: Adding 25

• 8 + 25 = 33
• 80 + 25 = 105
• 800 + 25 = 825
• 8000 + 25 = 8025

👉 Pattern: The basic addition is the same, only the zeros increase as the place value grows.

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🧩 Rules to Remember:

• In addition patterns, zeros are added when numbers shift to bigger place values.
• The last digits remain the same pattern as in small numbers.
• Always line up numbers according to place value before adding.

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🎯 Practice Exercise:

Fill in the blanks:

• 3 + 7 = ___
• 30 + 7 = ___
• 300 + 7 = ___
• 3000 + 7 = ___

Learn with an example

Let’s practice!