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NCERT Solutions for Class 5th Maths Chapter 1 Rounding off, and numbers that share the same neighbour — Let Us Think

Book page 8–9 Updated on2026-09-19

Q1.
1. Vijay rounded off a number to the nearest hundred. Suma rounded off the same number to the nearest thousand. Both got the same result. Circle the numbers they might have used. 7,126 · 7,835 · 7,030 · 6,999
Answer

Circle 7,030 and 6,999.

Step 1 — round each number to the nearest hundred (look at the last two digits).

Step 2 — round each number to the nearest thousand (look at the last three digits).

Step 3 — see where the two answers match.

NumberVijay: nearest hundredSuma: nearest thousandSame?
7,1267,1007,000No
7,8357,8008,000No
7,0307,0007,000Yes ✓
6,9997,0007,000Yes ✓
Why these two: Rounding to the nearest hundred and to the nearest thousand give the same answer only when the number is sitting very close to a whole thousand. 7,030 is 30 above 7,000. 6,999 is just 1 below 7,000. Both land on 7,000 either way.
Try This: Find two more numbers that work. Any number from 6,950 up to 7,049 will do, because all of them round to 7,000 both ways.
Q2.
2. Think and write two numbers that have the same — (a) Nearest ten. (For example, 19 and 21 have the same nearest ten, that is, 20.)
Answer

Sample answer: 71 and 73. Both have nearest ten 70.

71 → ones digit 1, which is less than 5 → nearest ten is 70
73 → ones digit 3, which is less than 5 → nearest ten is 70

How to make your own pair — 3 steps.

  1. Choose any ten, say 250.
  2. Numbers from 245 to 254 all round to 250.
  3. Pick any two from that list, for example 246 and 253.
More correct answers: 3,171 and 3,174 (both → 3,170) · 8,896 and 8,899 (both → 8,900) · 45 and 54 (both → 50).
Q3.
2. (b) Nearest hundred.
Answer

Sample answer: 512 and 549. Both have nearest hundred 500.

512 → last two digits 12, less than 50 → nearest hundred is 500
549 → last two digits 49, less than 50 → nearest hundred is 500

How to make your own pair — 3 steps.

  1. Choose any hundred, say 3,600.
  2. Numbers from 3,550 to 3,649 all round to 3,600.
  3. Pick any two, for example 3,562 and 3,631.
More correct answers: 2,780 and 2,812 (both → 2,800) · 9,951 and 10,020 (both → 10,000).
Q4.
2. (c) Nearest thousand.
Answer

Sample answer: 4,120 and 4,480. Both have nearest thousand 4,000.

4,120 → last three digits 120, less than 500 → nearest thousand is 4,000
4,480 → last three digits 480, less than 500 → nearest thousand is 4,000

How to make your own pair — 3 steps.

  1. Choose any thousand, say 26,000.
  2. Numbers from 25,500 to 26,499 all round to 26,000.
  3. Pick any two, for example 25,690 and 26,340.
Tip: A whole thousand has 999 other numbers rounding to it — 500 below it and 499 above it. So there are plenty of correct answers.
Q5.
3. Think and write the numbers that have the same — (a) Nearest ten and nearest hundred.
Answer

Sample answer: 302.

Nearest ten of 302 → ones digit 2, less than 5 → 300
Nearest hundred of 302 → last two digits 02, less than 50 → 300
Both are 300, so they match ✓

How to find such numbers.

  1. Start from any whole hundred, say 300.
  2. Take a number very close to it — within 4 on either side is safest.
  3. Examples: 297, 298, 301, 302, 303, 304. All of them have nearest ten 300 and nearest hundred 300.
Why closeness matters: The nearest hundred can only be a whole hundred. So for the two answers to match, the nearest ten must itself be a whole hundred. That happens only when the number is huddled around a whole hundred — from 95 below to 49 above it, roughly. For example 8,246: nearest ten 8,250, nearest hundred 8,200 — these do not match.
More correct answers: 4,999 (ten → 5,000, hundred → 5,000) · 7,103 (ten → 7,100, hundred → 7,100).
Q6.
3. (b) Nearest hundred and nearest thousand.
Answer

Sample answer: 4,020.

Nearest hundred of 4,020 → last two digits 20, less than 50 → 4,000
Nearest thousand of 4,020 → last three digits 020, less than 500 → 4,000
Both are 4,000 ✓

How to find such numbers.

  1. Pick a whole thousand, say 9,000.
  2. Stay within about 49 of it on either side.
  3. Examples: 8,970 · 8,999 · 9,010 · 9,043. All give 9,000 both ways.
This is the same idea as Question 1 above: 7,030 and 6,999 were exactly numbers of this kind.
Q7.
3. (c) Nearest ten, hundred and thousand.
Answer

Sample answer: 5,002. All three roundings give 5,000.

Nearest ten → ones digit 2, less than 5 → 5,000
Nearest hundred → last two digits 02, less than 50 → 5,000
Nearest thousand → last three digits 002, less than 500 → 5,000

Another one: 2,998.

Nearest ten → ones digit 8, 5 or more → 3,000
Nearest hundred → last two digits 98, 50 or more → 3,000
Nearest thousand → last three digits 998, 500 or more → 3,000

How to find such numbers — 2 steps.

  1. Pick any whole thousand, for example 6,000.
  2. Take a number within 4 of it: 5,996 · 5,997 · 5,998 · 5,999 · 6,001 · 6,002 · 6,003 · 6,004. Every one of them rounds to 6,000 all three ways.
Why it must be so close: All three answers must be the same number, and the nearest thousand is always a whole thousand. So the nearest ten must also be that whole thousand — and that only happens when the number is within 5 of it.
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