Rounding Numbers (Grade 4)
Rounding means replacing a number with a nearby number that is simpler and easier to work with. In Class 4, you round off numbers to the nearest 10, 100, and 1,000.
Rounding is used in everyday life when you estimate costs at a shop, approximate distances, or report populations. It makes mental calculations faster and easier.
What is Rounding Numbers - Class 4 Maths (Large Numbers)?
Rounding replaces a number with the closest multiple of 10, 100, or 1,000.
Rounding Rule: If the digit to the right of the rounding place is 5 or more, round up. If it is less than 5, round down.
Key terms:
- Round down: Keep the rounding digit the same; replace digits to the right with 0.
- Round up: Increase the rounding digit by 1; replace digits to the right with 0.
Types and Properties
Rounding to the nearest 10:
Look at the ones digit.
- 3,42 — ones = 2 (< 5) — round down to 3,420... wait, 342 rounds to 340
Examples:
| Number | Ones digit | Decision | Rounded to nearest 10 |
|---|---|---|---|
| 4,563 | 3 | 3 < 5, round down | 4,560 |
| 4,567 | 7 | 7 ≥ 5, round up | 4,570 |
| 4,565 | 5 | 5 = 5, round up | 4,570 |
Rounding to the nearest 100:
Look at the tens digit.
| Number | Tens digit | Decision | Rounded to nearest 100 |
|---|---|---|---|
| 3,824 | 2 | 2 < 5, round down | 3,800 |
| 3,867 | 6 | 6 ≥ 5, round up | 3,900 |
| 3,850 | 5 | 5 = 5, round up | 3,900 |
Rounding to the nearest 1,000:
Look at the hundreds digit.
| Number | Hundreds digit | Decision | Rounded to nearest 1,000 |
|---|---|---|---|
| 6,234 | 2 | 2 < 5, round down | 6,000 |
| 6,789 | 7 | 7 ≥ 5, round up | 7,000 |
| 6,500 | 5 | 5 = 5, round up | 7,000 |
Solved Examples
Example 1: Example 1: Round to nearest 10
Problem: Round 2,748 to the nearest 10.
Solution:
Step 1: Look at the ones digit: 8
Step 2: 8 ≥ 5, so round up.
Step 3: The tens digit 4 becomes 5. Ones becomes 0.
Answer: 2,748 rounds to 2,750.
Example 2: Example 2: Round to nearest 100
Problem: Round 5,439 to the nearest 100.
Solution:
Step 1: Look at the tens digit: 3
Step 2: 3 < 5, so round down.
Step 3: Hundreds digit stays 4. Tens and ones become 0.
Answer: 5,439 rounds to 5,400.
Example 3: Example 3: Round to nearest 1,000
Problem: Round 8,672 to the nearest 1,000.
Solution:
Step 1: Look at the hundreds digit: 6
Step 2: 6 ≥ 5, so round up.
Step 3: Thousands digit 8 becomes 9. Everything else becomes 0.
Answer: 8,672 rounds to 9,000.
Example 4: Example 4: Rounding with 5
Problem: Round 3,450 to the nearest 100.
Solution:
Step 1: Tens digit is 5.
Step 2: When the digit is exactly 5, we round up.
Answer: 3,450 rounds to 3,500.
Example 5: Example 5: Rounding a 5-digit number
Problem: Round 42,856 to the nearest 1,000.
Solution:
Step 1: Hundreds digit: 8
Step 2: 8 ≥ 5, round up.
Step 3: Thousands digit 2 becomes 3.
Answer: 42,856 rounds to 43,000.
Example 6: Example 6: Word problem - shopping
Problem: Aditi bought a dress for ₹1,378. Round the price to the nearest 100.
Solution:
Step 1: Tens digit: 7
Step 2: 7 ≥ 5, round up.
Answer: ₹1,378 rounds to approximately ₹1,400.
Example 7: Example 7: Rounding 9 up
Problem: Round 4,960 to the nearest 100.
Solution:
Step 1: Tens digit: 6 (6 ≥ 5, round up)
Step 2: Hundreds digit 9 + 1 = 10. Carry 1 to the thousands.
Step 3: Thousands digit 4 + 1 = 5.
Answer: 4,960 rounds to 5,000.
Example 8: Example 8: Word problem - distance
Problem: The distance from Kavi's house to the park is 2,345 m. Round to the nearest 1,000 m.
Solution:
Step 1: Hundreds digit: 3
Step 2: 3 < 5, round down.
Answer: The distance is approximately 2,000 m.
Example 9: Example 9: Multiple rounding
Problem: Round 7,856 to the nearest (a) 10, (b) 100, (c) 1,000.
Solution:
(a) Ones = 6 (≥ 5), round up: 7,860
(b) Tens = 5 (= 5), round up: 7,900
(c) Hundreds = 8 (≥ 5), round up: 8,000
Answer: (a) 7,860, (b) 7,900, (c) 8,000
Example 10: Example 10: Word problem - population
Problem: A town has 23,478 people. Round to the nearest 1,000 for a newspaper report.
Solution:
Step 1: Hundreds digit: 4
Step 2: 4 < 5, round down.
Answer: The population is approximately 23,000.
Key Points to Remember
- Rounding replaces a number with a simpler nearby number.
- The key rule: digit ≥ 5 means round up; digit < 5 means round down.
- To round to nearest 10, look at the ones digit.
- To round to nearest 100, look at the tens digit.
- To round to nearest 1,000, look at the hundreds digit.
- When rounding up causes a digit to exceed 9, carry over to the next place.
- Rounded numbers always end in 0s (one 0 for nearest 10, two 0s for nearest 100, three 0s for nearest 1,000).
Practice Problems
- Round 6,237 to the nearest 10.
- Round 4,851 to the nearest 100.
- Round 3,465 to the nearest 1,000.
- Round 9,950 to the nearest 100.
- Round 56,789 to the nearest 1,000.
- Neha's school library has 2,874 books. Round to the nearest 100.
- Round 7,555 to the nearest (a) 10, (b) 100, (c) 1,000.
- A stadium holds 48,650 people. Round to the nearest 1,000.
Frequently Asked Questions
Q1. What does rounding mean?
Rounding means replacing a number with the nearest simple number (a multiple of 10, 100, or 1,000). It makes numbers easier to work with for estimation and mental math.
Q2. What is the rule for rounding when the digit is exactly 5?
When the deciding digit is exactly 5, round up. For example, 350 rounded to the nearest 100 is 400, and 2,500 rounded to the nearest 1,000 is 3,000.
Q3. Which digit do you look at when rounding?
Look at the digit one place to the right of the rounding place. To round to nearest 10, check the ones digit. To round to nearest 100, check the tens digit. To round to nearest 1,000, check the hundreds digit.
Q4. What happens when rounding causes carry-over?
If the rounding digit is 9 and you round up, it becomes 10. You write 0 and carry 1 to the next place. For example, 2,960 rounded to nearest 100: 9 becomes 10, so the answer is 3,000.
Q5. Is 5,500 closer to 5,000 or 6,000?
It is exactly in the middle. By convention, we round up, so 5,500 rounds to 6,000 when rounding to the nearest 1,000.
Q6. Why do we round numbers?
Rounding helps with quick estimation, mental math, and reporting approximate values. In daily life, we say 'about 2,000 people' instead of '1,987 people' because it is easier to understand and remember.
Q7. Can rounding give an exact answer?
No. Rounding gives an approximate value, not an exact answer. If a number is already a multiple of 10, 100, or 1,000, rounding does not change it.
Q8. Is rounding numbers covered in NCERT Class 4?
Yes. NCERT Class 4 Maths teaches rounding to the nearest 10, 100, and 1,000, along with estimation using rounding.
Related Topics
- Rounding to Nearest 10 and 100
- Estimation (Grade 4)
- 4-Digit Numbers
- Place Value of 4-Digit Numbers
- Expanded Form of 4-Digit Numbers
- 5-Digit Numbers
- Place Value of 5-Digit Numbers
- Comparing Large Numbers (Grade 4)
- Ordering Large Numbers (Grade 4)
- Roman Numerals (I to C)
- Numbers up to 1,00,000
- Predecessor and Successor (Grade 4)
