Equivalent decimals

key notes :

🔹 What are Equivalent Decimals?

Equivalent decimals are different decimal numbers that have the same value.
📍 Example: 0.5 = 0.50 = 0.500

✏️ Adding Zeroes After the Decimal

You can add zeroes to the right of a decimal number without changing its value.
🧠 The number stays the same!
✅ 0.3 = 0.30 = 0.300

🔍 Why Are They Equal?

Because the place value of digits stays the same even if we add zeroes.
0.7 (Seven tenths) = 0.70 (Seventy hundredths) 🎯

🧮 Place Value Helps!

DecimalPlace Value NameValue
0.44 tenths4/10
0.4040 hundredths4/10 ✔️

💡 Write as fractions to check equivalence!

🔢 Compare to Check

To compare decimals, make them equal length (add zeroes), then compare digits.
Example:
0.6 and 0.56 → write as 0.60 and 0.56 → 0.60 is greater 👍

🎈 Important Tip

🚫 Do NOT add zeroes to the left of the number – it changes the value!
❌ 0.5 ≠ 00.5
✅ 0.5 = 0.50

💥 Real-Life Examples

Equivalent decimals are used in:
🍫 Money: ₹1.50 = ₹1.500
📏 Measurement: 0.8 m = 0.80 m

🌈 Quick Practice Time

👉 Write 2 equivalent decimals for each:
a) 0.9 = ______ = ______
b) 0.25 = ______ = ______

Learn with an example

🎯 Which decimal is equivalent to 50.7?

  • 17.0
  • 57.0
  • 50.70
  • 55.70
  • Write 1 extra zero to the right of 50.7:
  • 50.7 → 50.70
  • 50.7 and 50.70 are equivalent decimals.

🎯 Are 0.10 and 0.1 equivalent decimals?

  • yes
  • no
  • Write 1 extra zero to the right of 0.1:
  • 0.1 → 0.10
  • 0.10 and 0.1 are equivalent decimals.

🎯 Are 3.8 and 3.80 equivalent decimals?

  • yes
  • no
  • Write 1 extra zero to the right of 3.8:
  • 3.8 → 3.80
  • 3.8 and 3.80 are equivalent decimals.

Let’s practice!