Start with the meaning
NCERT connection: Grade 7 Ganita Prakash Part I, “Large Numbers Around Us”. These are independent BananaLearn notes and original practice, not official NCERT material or a complete set of textbook exercise solutions. Match the chapter name to the book used by your school. Know ones, tens, hundreds and thousands. This resource covers selected place-value and comparison skills rather than the complete chapter.
Place the commas from the right
In international notation, group digits in threes from the right. In Indian notation, keep the first three digits together, then use groups of two. For 1234567 this gives 1,234,567 and 12,34,567.
Keep the digits in their original order. A useful check is to remove the commas from both versions: you should recover exactly the same digit string. Leading zeros are not needed when naming an ordinary positive integer.
Name the groups, then combine them
12,34,567 reads as twelve lakh thirty-four thousand five hundred sixty-seven. In international naming, 1,234,567 reads as one million two hundred thirty-four thousand five hundred sixty-seven.
A lakh equals 100,000, and a crore equals 10,000,000. One million equals ten lakh; one crore equals ten million. Write the equality before converting a quantity so that the unit is visible.
Compare values rather than comma patterns
Compare 9,80,000 and 1,020,000 by rewriting them with the same grouping: 980,000 and 1,020,000. The second is greater because it exceeds one million.
If two integers have the same number of digits, compare from the left until the first differing digit. Different commas do not make one value larger, and extra zeros at the end change an integer’s value.
Estimate for a reason
To round 7,46,820 to the nearest lakh, compare the neighbouring multiples 7,00,000 and 8,00,000. It is below their midpoint 7,50,000, so it rounds to 7,00,000.
For an estimate of a total, round each amount to a suitable place and label the result as approximate. Keep the exact amount for a bill or an exact comparison; an estimate is a check, not a replacement for all calculations.
Worked examples, step by step
Example 1: Write 4820316 in both systems
- Keep the digit string 4820316 unchanged.
- Indian grouping gives 48,20,316; international grouping gives 4,820,316.
- Read the first as forty-eight lakh twenty thousand three hundred sixteen.
Example 2: Convert 3.5 million into lakh
- One million equals ten lakh.
- Multiply 3.5 by 10 to get 35 lakh.
- Check 35 × 100,000 = 3,500,000.
Example 3: Estimate 4,82,100 + 3,16,900 to the nearest lakh
- Round the first amount to 5,00,000 and the second to 3,00,000.
- The estimated total is 8,00,000.
- The exact total is 7,99,000, close to the estimate. Keep the approximation label.
Common mistakes and useful repairs
Changing the digits when moving commas
Copy the full digit string first and insert commas afterwards. A change in grouping should not add, remove or reorder digits.
Confusing lakh and million
Use 1 million = 10 lakh as the conversion bridge. Two million is twenty lakh, not two lakh.
Try before revealing
Quick understanding check
Read the check answers
10 million. A crore is 10,000,000, or ten million.
1,250,000. The digits 1250000 are unchanged when regrouped.
Grade 7 large numbers: Indian and international place value — practice sheet
Work on paper before opening an answer. Print this question sheet with or without a separate worked key; no account is needed.
Name: ____________________ Date: __________
Write 7654321 with Indian comma grouping.
Show answer and reasoning
76,54,321. Keep three digits at the right, then groups of two.
Write 76,54,321 with international grouping.
Show answer and reasoning
7,654,321. Regroup the same seven digits in threes.
How many lakh equal 2 million?
Show answer and reasoning
20 lakh. Each million is ten lakh.
How many million equal 4 crore?
Show answer and reasoning
40 million. Each crore is ten million.
What is the value of 7 in 37,45,210?
Show answer and reasoning
7,00,000. Seven occupies the lakh position.
Round 6,72,400 to the nearest lakh.
Show answer and reasoning
7,00,000. The amount is above the midpoint 6,50,000.
Which is greater: 25,00,000 or 2,400,000?
Show answer and reasoning
25,00,000. It equals 2,500,000, which exceeds 2,400,000 by 100,000.
Estimate 8,21,000 + 5,78,000 by rounding each to the nearest lakh.
Show answer and reasoning
14,00,000 approximately. 8,00,000 + 6,00,000 = 14,00,000; the exact total is 13,99,000.
Grade 7 large numbers: Indian and international place value — worked answer key
76,54,321. Keep three digits at the right, then groups of two.
7,654,321. Regroup the same seven digits in threes.
20 lakh. Each million is ten lakh.
40 million. Each crore is ten million.
7,00,000. Seven occupies the lakh position.
7,00,000. The amount is above the midpoint 6,50,000.
25,00,000. It equals 2,500,000, which exceeds 2,400,000 by 100,000.
14,00,000 approximately. 8,00,000 + 6,00,000 = 14,00,000; the exact total is 13,99,000.
Choose the next practice step
Use the questions in this guide to practise this specific skill. If you need another explanation, return to Place value: what each digit is worth before trying a fresh problem.
Help at home: Read one real number in two systems
Choose a population or distance written as a whole number. Cover any number name and ask your child to write both comma systems, then read the value aloud.
If a conversion fails, ask them to write the value of one unit first: one lakh, one million or one crore. This distinguishes a naming difficulty from a multiplication difficulty.
Keep one example of your child’s own working. If the same confusion returns across fresh questions, share that attempt with their teacher and ask which next step fits their current learning.
Questions students and parents ask
Are these NCERT exercise solutions?
No. These are original questions with worked answers that support the named topic. Use the official textbook link for the book itself. Exercise numbers and school sequences can differ between editions.
How should a parent use the practice?
Ask for one independent attempt before revealing an answer. Notice whether the difficulty is reading the question, representing the idea or calculating. Revisit the matching example, then try a fresh question rather than copying the worked answer.
About this resource
BananaLearn created these explanations, diagrams and practice questions. They are not reproduced textbook or past-exam questions. School sequences differ; use the prerequisites to choose a starting point. Read how we prepare learning guides.
Curriculum and teaching references used to check scope:
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