Put decimal numbers in order

key notes :

🎯 What Does It Mean?

To order decimal numbers means to arrange them from smallest to greatest or greatest to smallest.

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🧠📍 Key Tips to Remember

✅ Look at the Whole Number First

• Compare the digits before the decimal point.
• Example: 3.45 and 5.12 → 5.12 is greater because 5 > 3.

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🔍 If Whole Numbers Are Same, Compare Decimal Part

Check the digits after the decimal point, one place at a time.

Example:
3.45 vs 3.54

• Compare tenths: 4 < 5 → 3.45 is smaller

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🧮 Add Zeros to Make Decimals Equal

If decimals have different lengths, add extra zeros to compare.

Example:
4.6, 4.56, 4.560
→ Make equal:
4.60, 4.56, 4.560
Now compare easily!

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🟦 Place Value Matters!

Place Value	Name
0.1	Tenths
0.01	Hundredths
0.001	Thousandths

💡 More digits ≠ bigger number! Value depends on place value.

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🧊📉 Ascending & Descending

• Ascending (Low → High) 📈
  Example: 2.1, 2.3, 2.9
• Descending (High → Low) 📉
  Example: 7.85, 7.42, 7.05

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🌟 Examples

✨ Ascending Order

Order: 4.6, 4.56, 4.9
→ 4.56 < 4.6 < 4.9

🔥 Descending Order

Order: 2.35, 2.5, 2.09
→ 2.5 > 2.35 > 2.09

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🚧 Common Mistakes to Avoid ❗

Wrong Thinking ❌	Correct Thinking ✅
2.9 > 2.15? Yes (because 9 > 15)	❌ Wrong – compare tenths first
2.9 = 2.90	✅ Yes, adding zeros doesn’t change value
Longer number = bigger	Check place value, not digit count

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🎉 Fun Trick 🪄

Think of decimals like money!

• ₹0.75 = 75 paise
• ₹0.8 = 80 paise → ₹0.8 is bigger!

Learn with an example

Let’s practice!