Large Numbers Around Us — Class 7 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Large Numbers Around Us" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Large Numbers Around Us" — 8 important questions with detailed answers for CBSE boa…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

Write 45,32,78,901 in words and identify the place value of 7.
Round 6,54,789 to the nearest lakh.
Estimate: 4,83,627 + 2,15,399
Write 3 × 10⁶ + 2 × 10⁴ + 5 × 10² + 7 in expanded form and standard form.
Compare 78,54,321 and 87,45,123. Which is greater?
The population of India is approximately 1,417,173,173. Write this in words u…
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
Write 45,32,78,901 in words and identify the place value …	✓ Solved
Round 6,54,789 to the nearest lakh.	✓ Solved
Estimate: 4,83,627 + 2,15,399	✓ Solved
Write 3 × 10⁶ + 2 × 10⁴ + 5 × 10² + 7 in expanded form an…	✓ Solved
Compare 78,54,321 and 87,45,123. Which is greater?	✓ Solved
The population of India is approximately 1,417,173,173. W…	✓ Solved

Showing 6 of 8 questions

Q1: Write 45,32,78,901 in words and identify the place value of 7.

Step 1: Break the number into groups of three from right: 901, 32, 45 Step 2: Write in words: 45 crore, 32 lakh, 78 thousand, 901 Or: Forty-five crore, thirty-two lakh, seventy-eight thousand, nine hundred and one Step 3: Identify place value of 7: The digit 7 is in the thousands place. Place value of 7 = 7 × 1000 = 7,000 Answer: Forty-five crore, thirty-two lakh, seventy-eight thousand, nine hundred and one. Place value of 7 is 7,000.

Q2: Round 6,54,789 to the nearest lakh.

Step 1: Identify the digit in the lakh place: 5 (from 6,54,789) Step 2: Look at the digit to the right (ten-thousands place): 4 Step 3: Apply rounding rule: Since 4 < 5, round down (keep the lakh digit as 5) Step 4: Replace all digits to the right with zeros: 6,54,789 ≈ 6,50,000 Answer: 6,50,000

Q3: Estimate: 4,83,627 + 2,15,399

Step 1: Round each number to the nearest lakh: 4,83,627: Look at ten-thousands digit = 8. Since 8 ≥ 5, round up. 4,83,627 ≈ 5,00,000 Step 2: 2,15,399: Look at ten-thousands digit = 1. Since 1 < 5, round down. 2,15,399 ≈ 2,00,000 Step 3: Add the rounded numbers: 5,00,000 + 2,00,000 = 7,00,000 Answer: Estimated sum is 7,00,000 (actual sum: 6,99,026)

Q4: Write 3 × 10⁶ + 2 × 10⁴ + 5 × 10² + 7 in expanded form and standard form.

Step 1: Expand each term: 3 × 10⁶ = 3 × 1,000,000 = 3,000,000 2 × 10⁴ = 2 × 10,000 = 20,000 5 × 10² = 5 × 100 = 500 7 × 10⁰ = 7 × 1 = 7 Step 2: Add all parts: 3,000,000 + 20,000 + 500 + 7 = 3,020,507 Answer: Standard form = 3,020,507; Expanded form = 30,00,000 + 20,000 + 500 + 7

Q5: Compare 78,54,321 and 87,45,123. Which is greater?

Step 1: Compare the leftmost digits (crores place): 78,54,321 has 7 in crores place 87,45,123 has 8 in crores place Step 2: Since 8 > 7, we know 87,45,123 > 78,54,321 Answer: 87,45,123 is greater than 78,54,321

Q6: The population of India is approximately 1,417,173,173. Write this in words using the Indian place value system.

Step 1: Break into groups of two from right: 73, 71, 71, 41, 1 Step 2: Identify positions: 73 (ones and tens) 71 (hundreds and thousands) 71 (ten-thousands and lakhs) 41 (millions and crores) — wait, recalculate Actually: 1,41,71,73,173 Breakdown: 1 crore 41 million (or: 1 Arab 41 crore 71 lakh 73 thousand 173) Step 3: In standard Indian system: 1 billion = 1 Arab or 100 crore So: 1 Arab, 41 crore, 71 lakh, 73 thousand, 173 Or: One billion four hundred seventeen million one hundred seventy-th...

Showing 6 of 8 questions. Visit the full page for complete solutions.