E.6 Round decimals

Rounding decimals

key notes :

🔢 What Does Rounding Mean?

Rounding means changing a number to a value that is easier to use, but close to the original number 😊.

🏁 Steps to Round Decimals

Step	What to Do	Emoji
1️⃣	Underline the place value you are rounding to (tenths, hundredths, thousandths)	✏️
2️⃣	Look at the next digit (to the right)	👀
3️⃣	If the digit is 5 or more → Increase the underlined digit by 1	🔼
4️⃣	If the digit is 4 or less → Keep the underlined digit the same	✅
5️⃣	Drop all digits to the right	✂️

📍 Place Value Reminder

Place Value	Example in 3.476	Emoji
Tenths	4️⃣	🍩
Hundredths	7️⃣	🍒
Thousandths	6️⃣	🍬

✨ Examples

Round To	Example	Result	Emoji
Tenths	3.47	3.5 (because 7 ≥ 5)	👍
Hundredths	6.324	6.32 (because 4 ≤ 4)	✅
Tenths	9.81	9.8 (1 < 5)	😀
Hundredths	2.678	2.68 (8 ≥ 5)	🎉

🧠 Quick Tip Memory Trick

5 to the sky ☁️ → Round UP
4 to the floor 🧹 → Stay the SAME

🧮 Why Do We Round Decimals?

✔️ To make numbers easier to read
✔️ To estimate answers quickly
✔️ Useful in money 💰, measurements 📏, weight ⚖️, and distance 🚗

💡 Real-Life Examples

Situation	Example	Rounded
Money	₹49.78	₹49.80 → Hundredths
Height	1.67m	1.7m → Tenths
Weight	23.457 kg	23.46 kg → Hundredths

Learn with an example

What is 4.888 rounded to the nearest hundredth?

First, find the digit in the hundredths place. This is the place you want to round:

4.888

Now look one place to the right:

4.888

8 is greater than 5, so you will round up. Remove all the digits to the right of the hundredths place:

4.888 → 4.88

Now add 0.01 to the number:

4.88 → 4.89

What is 0.107 rounded to the nearest hundredth?

First, find the digit in the hundredths place. This is the place you want to round:

0.107

Now look one place to the right:

0.107

7 is greater than 5, so you will round up. Remove all the digits to the right of the hundredths place:

0.107 → 0.10

Now add 0.01 to the number:

0.10 → 0.11

What is 5.139 rounded to the nearest hundredth?

First, find the digit in the hundredths place. This is the place you want to round:

5.139

Now look one place to the right:

5.139

9 is greater than 5, so you will round up. Remove all the digits to the right of the hundredths place:

5.139 → 5.13

Now add 0.01 to the number:

5.13 → 5.14

Let’s practice!