Division patterns with zeroes

Key Points:

🔢 Dividing by 10, 100, 1000 moves the digits to the right

• When you divide a number by 10, digits move one place right ➡️
• Divide by 100, digits move two places right ➡️➡️
• Divide by 1000, digits move three places right ➡️➡️➡️

Example:

• 480 ÷ 10 = 48
• 480 ÷ 100 = 4.8
• 480 ÷ 1000 = 0.48

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🎯 Each zero means one place movement

• 10 → 1 zero → move 1 place
• 100 → 2 zeroes → move 2 places
• 1000 → 3 zeroes → move 3 places

This works for whole numbers and decimals.

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💡 Decimal point shifts to the LEFT when dividing

Rule:
👉 When dividing by 10, 100, 1000… move the decimal point left by the number of zeroes.

Example:

• 56 ÷ 10 → 5.6
• 56 ÷ 100 → 0.56

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🧮 Numbers get smaller when divided by powers of 10

• You are splitting the number into more parts
• So the result is smaller than the original number

Example:
900 ÷ 100 = 9

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🔍 Zeros may appear in front of the decimal

If the decimal point moves left past all digits, add 0 in front.

Example:
3 ÷ 100 = 0.03

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🚀 Patterns help solve without long division

You don’t need division steps —
just shift the decimal point or move digits.

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📌 Quick Division Pattern Table

÷ 10	÷ 100	÷ 1000
move 1 place	move 2 places	move 3 places
250 → 25	250 → 2.5	250 → 0.25

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🎉 Always check: Did your number get smaller?

If not → the decimal was moved the wrong way.

Learn with an example

Let’s practice!