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Grade 5/ Maths/ We the Travellers — I
Chapter 1 · NCERT Class 5 Maths Mela

We the Travellers — I

Set off on a journey full of big numbers — kilometres on signboards, seats on a train, people in a town. Once you know each digit’s place, even a huge number becomes easy to read. Tap each idea to explore it.

🧭 3 topics⏱ ~20 min📝 10-question quiz
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Play with it

Six ideas for big numbers

A big number is just digits sitting in the right seats. Tap each term to see what it means, with a friendly example from our journey.

Explore · Big numberstap a term

Learn

The three big ideas

  • In a number, each digit sits in a place. From the right: ones, tens, hundreds, thousands, ten thousands, lakh.
  • The same digit means different amounts in different seats. In 4,444 the first 4 is 4,000 and the last 4 is just 4.
  • The place value of a digit = the digit × its place. In 18,640 the 8 means 8 × 1000 = 8,000.

Worked example. A signboard reads 45,678. Name the place of each digit.

5 ten thousands (40,000), 5 thousands (5,000), 6 hundreds (600), 7 tens (70), 8 ones (8). So 45,678 = 40,000 + 5,000 + 600 + 70 + 8.

  • A comma after the thousands helps us read: 32,500 is “thirty-two thousand five hundred”.
  • Expanded form shows the value of each digit added up: 3,206 = 3000 + 200 + 6 (zero tens, so nothing for tens).
  • To write a number from words, build it place by place — start with the biggest part.

Worked example. Write “twenty thousand forty” in figures and expanded form.

Twenty thousand = 20,000; forty = 40. So the number is 20,040 = 20,000 + 40 (no thousands, hundreds shown — they are 0).

  • To compare, line numbers up and check from the biggest place first. The one with more thousands is bigger.
  • Use > (greater than), < (less than), = (equal). Example: 7,540 > 7,450.
  • Rounding gives a quick, tidy estimate. To the nearest hundred, 248 becomes 200 and 176 becomes 200 — handy for a fast “about how far?”.

Worked example. Put 8,090 · 8,900 · 8,009 in order, smallest first.

All have 8 thousands. Compare hundreds: 8,009 (0) < 8,090 (0 hundreds, 9 tens) < 8,900 (9 hundreds). Order: 8,009, 8,090, 8,900.

Common mix-up: a number with more digits is bigger — but if two numbers have the same number of digits, you must compare place by place from the left, not just glance at the last digit.

Where you’ll meet it

Big numbers on the road

The bus odometer

The little number wheel on a bus shows how many kilometres it has travelled — often tens of thousands. Reading place value tells you at a glance whether it says 45,678 km or 4,567 km.

Town populations

A small town might have 38,500 people. Comparing two towns’ numbers tells you which is bigger — and rounding to “about 40,000” makes it easy to remember.

Train seats & tickets

Coach and seat numbers, PNRs and fares are all numbers we read every journey. Knowing places keeps you from boarding seat 12 instead of 21.

Check yourself

Quick quiz

Ten friendly questions — mostly multiple-choice with one little story problem — to check that you can use place value, not just remember it.

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Interactive built to the OpenMAIC approach (THU-MAIC, MIT). Content from the NCERT Class 5 Maths Mela textbook (ncert.nic.in).

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