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NCERT Solutions for Class 5th Maths Chapter 1 Finding Large Numbers Around Us — Finding Large Numbers Around Us

Book page 10–11 Updated on2026-09-19

Q1.
Find something in the textbook whose count is a 4-digit number.
Answer

A 4-digit number is anything from 1,000 to 9,999. Do not count one by one — estimate, which means make a careful guess using multiplication.

Method — 3 steps.

  1. Count the thing carefully on ONE page.
  2. Count how many pages there are.
  3. Multiply.
Sample answer: The number of words in this chapter.
One page has about 150 words. The chapter has 16 pages.
150 × 16 = 2,400 words — a 4-digit number.

Other good answers:

  • The number of letters printed on one page (about 900–1,200).
  • The number of full stops in the whole book.
  • The number of squares in all the grids and tables of the book.
Q2.
Now, let us try this with our school. (a) Our school has ________ classrooms.
Answer

This is about your own school, so go and count.

Method — 3 steps.

  1. Walk down each corridor and count the rooms where classes are held.
  2. Do not count the office, the store room or the toilets.
  3. Add the counts from every floor.
Sample answer: Our school has 12 classrooms — 5 on the ground floor and 7 on the first floor.
Notice the size: This is a 2-digit number. Not everything around us is big. Part of the fun is finding out which counts are small and which run into thousands.
Q3.
(b) There are ________ students in my class.
Answer

Count the children in your own classroom.

Method — 2 steps.

  1. Count row by row, not all at once, so nobody is missed or counted twice.
  2. Add the row totals. Remember to include children who are absent today.
Sample answer: My class has 38 students — 6 rows of 6, and 2 more children on the last bench. 6 × 6 = 36, and 36 + 2 = 38.
Tip: The attendance register already has the answer. Use it to check your count.
Q4.
(c) Our classroom has ________ books in total.
Answer

Count all the books in the room — textbooks, notebooks and library books.

Method — 3 steps.

  1. Find how many books one child has in the bag. Say 6 textbooks and 6 notebooks = 12.
  2. Multiply by the number of children.
  3. Add the books kept in the class cupboard.
12 books × 38 children = 456
456 + 44 books in the cupboard = 500 books
Sample answer: Our classroom has about 500 books in total.
Why we multiply: Counting 500 books one by one would take a long time and mistakes would creep in. Finding one child's share and multiplying is faster and safer.
Q5.
Find something in the classroom whose count is a — (i) 4-digit number. (ii) 5-digit number.
Answer

(i) A 4-digit count (1,000 to 9,999)

Sample answer: The total number of pages in all the notebooks of the class.
Each notebook has about 100 pages. Each child has 6 notebooks. There are 38 children.
100 × 6 = 600 pages per child
600 × 38 is too big — so take just 2 notebooks: 100 × 2 × 38 = 7,600 pages. A 4-digit number.

(ii) A 5-digit count (10,000 to 99,999)

Sample answer: The number of bricks in the classroom walls.
One wall is about 6 m long and 3 m high. About 60 bricks fit along it and about 40 layers go up.
60 × 40 = 2,400 bricks in one wall
There are 4 walls: 2,400 × 4 = 9,600
Counting both the inside and the outside face of each wall doubles this: 9,600 × 2 = 19,200 bricks. A 5-digit number.

Other good answers: the number of letters printed in all the textbooks in the room; the number of grains of rice in the mid-day-meal pot; the number of threads in the class curtain.

The idea to hold on to: Big numbers do not come from counting faster. They come from counting a small part and then multiplying.
Q6.
List some quantities whose count is a 4-digit or a 5-digit number in the context of — (i) A tree.
Answer

Take a full-grown mango tree in the village.

What we countRough countHow many digits
Mangoes on the tree in one seasonabout 1,5004-digit
Leaves on the treeabout 25,0005-digit
Flowers when the tree blossomsabout 40,0005-digit
Seeds dropped in a yearabout 1,5004-digit
Days the tree has been alive (about 15 years)about 5,4754-digit

How to estimate the leaves — 3 steps.

  1. Count the leaves on one small branch. Say 120.
  2. Count the branches. Say about 200.
  3. 120 × 200 = 24,000 leaves.
Sample answer: A mango tree has about 1,500 mangoes (4-digit) and about 25,000 leaves (5-digit).
Q7.
List some quantities whose count is a 4-digit or a 5-digit number in the context of — (ii) Your village/town/city, or any other place of your choice.
Answer

Choose your own village or town and fill in real figures where you can. Here is a filled-in example.

What we countRough countHow many digits
People living in the villageabout 4,8004-digit
Houses in the villageabout 1,1004-digit
People living in a small townabout 45,0005-digit
Two-wheelers in the townabout 12,0005-digit
Trees along the town roadsabout 3,0004-digit
Students in all the schools of the townabout 10,5005-digit

Where to find the real numbers.

  1. The gram panchayat or municipal office keeps the population and house count.
  2. The school office knows how many children study there.
  3. For houses, count the houses in one lane and multiply by the number of lanes.
Sample answer: My village has about 4,800 people (4-digit) and about 1,100 houses (4-digit). The nearest town has about 45,000 people (5-digit).
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