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Grade 7/ Maths/ Large Numbers Around Us
Chapter 1 · NCERT Ganita Prakash

Large Numbers
Around Us

A city of fifty-two lakh, a budget of crores, a population of 140 crore — big numbers are everywhere. Tap each place and see how the Indian system reads them with its 3-then-2 commas.

🔢 3 topics⏱ ~22 min📝 12-question quiz
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Play with it

Explore place value in the Indian system

Every digit in a number has a place value. As you move left, each place is ten times bigger. Tap each place to see its value and how the Indian system uses commas to group digits — the last 3, then 2 at a time.

Explore · Indian place-value systemtap a place

Learn

The three big ideas

In the Indian place-value system, digits are read in groups called periods:

  • Ones period — ones, tens, hundreds
  • Thousands period — thousands, ten thousands
  • Lakhs period — lakhs, ten lakhs
  • Crores period — crores, ten crores

Commas group the digits: the last 3 digits first, then 2 digits at a time. So 1,00,000 is one lakh and 1,00,00,000 is one crore.

Worked example. Write 2350000 in the Indian system with commas.

Start from the right. Mark off the last 3 digits: 2350,000. Then take 2 at a time: 23,50,000. So 2350000 = 23,50,000, read as twenty-three lakh fifty thousand.

The two systems name the same number differently:

  • 1 lakh = a hundred thousand → 1,00,000 (Indian) = 100,000 (International).
  • 1 crore = ten million → 1,00,00,000 (Indian) = 10,000,000 (International).
  • The International system groups digits in 3s (thousands, millions, billions); the Indian system goes 3, then 2 at a time.

For example, the same value is 23,50,000 in the Indian system and 2,350,000 in the International system.

Common mistake: misplacing the commas. In the Indian system, group the last 3 digits first, then 2 at a time. Writing 23,50,000 as "2,350,000" or "235,0000" is the most common slip.

Estimating gives a quick, sensible answer without exact arithmetic. To round, look at the digit just to the right of the place you are rounding to: 5 or more rounds up, less than 5 rounds down.

  • 47,521 to the nearest thousand → 48,000 (the 521 part is 500 or more).
  • 3,72,000 to the nearest lakh → 4,00,000 (the 72,000 part is 50,000 or more).

To compare two whole numbers: the one with more digits is bigger. If they have the same number of digits, compare from the highest place value on the left, digit by digit, until they differ.

Where you'll meet it

Large numbers in everyday life

Populations of cities

A big city may have a population of fifty lakh (50,00,000) and India as a whole is home to about 140 crore people. Reading these in the Indian system — lakhs and crores — tells you instantly how large they really are.

Money & prices

A car may cost a few lakh rupees and a house a few crore; government budgets run into thousands of crores. Placing the commas correctly is how you tell ₹2,50,000 from ₹25,00,000 at a glance.

Check yourself

Competency quiz

Modelled on the competency-based pattern — MCQ, assertion–reason and a case study, testing whether you can use place value, not just recall it.

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Interactive built to the OpenMAIC approach (THU-MAIC, MIT). Content from the NCERT Class 7 Maths textbook, Ganita Prakash (ncert.nic.in).

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