Rounding

key notes :

✅ What is Rounding?

Rounding means making a number simpler but keeping it close to the original value.
It helps us estimate or work with easier numbers in everyday life.

🎯 Why Do We Round Numbers?
  • To estimate quickly
  • To make numbers easier to work with
  • To communicate approximate values
🧠 Rounding Rules

1. Look at the digit to the right of the place you are rounding to:

  • If the digit is 5 or more, round up
  • If the digit is 4 or less, round down
🔢 Place Values to Round To:
  • Nearest 10
  • Nearest 100
  • Nearest 1000
  • Nearest tenth (for decimals)
  • Nearest hundredth (for decimals)
📝 Examples:

👉 Round to the nearest 10:

  • 74 → 70 (because 4 is less than 5 → round down)
  • 78 → 80 (because 8 is more than 5 → round up)

👉 Round to the nearest 100:

  • 362 → 400 (6 is ≥ 5 → round up)
  • 341 → 300 (4 is < 5 → round down)

👉 Round to the nearest 1000:

  • 2,499 → 2000
  • 2,550 → 3000
🔢 Rounding Decimals:

👉 Round to the nearest tenth:

  • 3.67 → 3.7 (7 is ≥ 5 → round up)
  • 4.32 → 4.3 (2 is < 5 → round down)

👉 Round to the nearest hundredth:

  • 5.678 → 5.68
  • 2.543 → 2.54

✍️ Tips:

  • Underline the digit you are rounding to.
  • Look right to decide to round up or down.
  • Don’t forget to change all digits right of the rounded place to zero for whole numbers or remove them in decimals.
🔍 Quick Practice:
  1. Round 287 to the nearest 10 → ______
  2. Round 6.45 to the nearest tenth → ______
  3. Round 1,789 to the nearest 100 → ______

Learn with an example

What is 28,085 rounded to the nearest ten?

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

28,085

Now look one place to the right:

28,085

This number is 5, so you will round up. First, replace all the digits to the right of the tens place by zeroes:

28,085 → 28,080

Now add 1 to the other part of the number:

28,080 → 28,090

What is 10,134 rounded to the nearest hundred?

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

10,134

Now look one place to the right:

10,134

3 is less than 5, so you will round down. Replace all the digits to the right of the hundreds place by zeroes:

10,134 → 10,100

What is 60,839 rounded to the nearest thousand?

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

60,839

Now look one place to the right:

60,839

8 is greater than 5, so you will round up. First, replace all the digits to the right of the thousands place by zeroes:

60,839 → 60,000

Now add 1 to the other part of the number:

60,000 → 61,000

What is 30,701 rounded to the nearest ten thousand?

First, find the digit in the ten-thousands place. This is the place you want to round:

30,701

Now look one place to the right:

30,701

0 is less than 5, so you will round down. Replace all the digits to the right of the ten-thousands place by zeroes:

30,701 → 30,000

What is ₹1.87 rounded to the nearest rupee?

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

₹1.87

Now look one place to the right:

₹1.87

8 is greater than 5, so you will round up. First, replace all the digits to the right of the ones place by zeroes:

₹1.87 → ₹1.00

Now add 1 to the other part of the number:

₹1.00 → ₹2.00

What is ₹93.65 rounded to the nearest 10 rupees?

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

₹93.65

Now look one place to the right:

₹93.65

3 is less than 5, so you will round down. Replace all the digits to the right of the tens place by zeroes:

₹93.65 → ₹90.00

Let’s practice!