Class 5 Maths Chapter 2 Number Work Problem Set 6 Solutions | SB TEST PRO HUB

DATE: 12/06/2026

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Class: 5th Standard (Maharashtra Board)

Subject: Mathematics

Chapter: Chapter 2 — Number Work

Topic/Set: Problem Set 6 (Comparing, Crores & Word Problems)

✏️ Practice Exercises & Explanations

Q1. Write the proper symbol '<' or '>' in the box.

✍ Classmate's Tip: First check the number of digits. More digits = bigger number. If equal digits, compare place by place from left until you find a difference.

(1) 5,705 < 15,705
5-digit > 4-digit

(2) 22,74,705 > 12,74,705
TL: 2 > 1

(3) 35,33,302 > 35,32,302
TTh: 3 > 2

(4) 99,999 < 9,99,999
6-digit > 5-digit

(5) 4,80,009 < 4,90,008
TTh: 8 < 9

(6) 35,80,177 < 35,88,172
TTh: 8 < 8 → Th: 0 < 8

Q2. Solve the word problems.

✍ Approach: Write both numbers, compare them using > or <, then write the conclusion sentence clearly.

(1) Swayamsiddha Group made 3,45,000 papads. Swabhimani Group made 2,95,000. Who made more?

✍ 3,45,000 > 2,95,000 (L: 3 > 2)

✓ Swayamsiddha Savings Group made more papads.

(2) Ahmadnagar children collected 2,00,000 seeds. Pune children collected 3,25,000. Who collected more?

✍ 3,25,000 > 2,00,000 (L: 3 > 2)

✓ Pune District children collected more seeds.

(3) Republic Day participants: Pandharpur — 2,01,306 | Malshiras — 1,97,208. Which taluka had more?

✍ 2,01,306 > 1,97,208 (L: 2 > 1)

✓ Pandharpur taluka had a larger number of participants.

(4) Exhibition sales — Annapoorna: 5,12,345 | Nirman: 4,12,900 | Srujan: 4,33,000 | Savitribai Phule: 5,11,937

✍ Compare all four: 5,12,345 vs 5,11,937 → L same, TTh same, Th: 2 > 1 → 5,12,345 is largest.
4,12,900 vs 4,33,000 → TTh: 1 < 3 → 4,12,900 is smallest.
Ascending order: 4,12,900 < 4,33,000 < 5,11,937 < 5,12,345

✓ Largest sales: Annapoorna Group  |  Smallest sales: Nirman Group

📖 Concept: Introducing Crores

✍ Key Idea: The biggest 7-digit number is 99,99,999. Adding 1 gives us 1,00,00,000 — the smallest 8-digit number, read as "One Crore". A brand new place — the Crores place — is born!

Place Value Chart (8-digit numbers):

TC	C	TL	L	TTh	Th	H	T	U
Ten Crores	Crores	Ten Lakhs	Lakhs	Ten Thou.	Thou.	Hundreds	Tens	Units

Reading 8-digit numbers:

Number	In Words
8,45,12,706	Eight crore, forty-five lakh, twelve thousand, seven hundred and six.
5,61,63,589	Five crore, sixty-one lakh, sixty-three thousand, five hundred and eighty-nine.
6,09,04,034	Six crore, nine lakh, four thousand and thirty-four.

💡 Something More — Beyond Crores:
To the left of Crores: Ten Crores → Abja (Arab) → Ten Abja. Each place is 10 times the one to its right.
Example (Census 2011): 1,21,01,93,422 = One Abja, twenty-one crore, one lakh, ninety-three thousand, four hundred and twenty-two.

📝 Additional Important Questions

Additional Q1. Write '<' or '>' symbol.

(1) 68,34,170 > 8,43,170
7-digit > 6-digit

(2) 5,04,132 > 5,04,123
U: 2 > 3? No — T: 3 > 2

(3) 1,01,001 > 1,00,101
TTh: 1 > 0

(4) 14,55,432 > 4,54,532
7-digit > 6-digit

Additional Q2. Write the numbers in words (Crore numbers).

(1) 15,97,21,409
✓ Fifteen crore, ninety-seven lakh, twenty-one thousand, four hundred and nine.

(2) 99,99,99,999
✓ Ninety-nine crore, ninety-nine lakh, ninety-nine thousand, nine hundred and ninety-nine.

(3) 7,54,21,607
✓ Seven crore, fifty-four lakh, twenty-one thousand, six hundred and seven.

(4) 5,16,36,854
✓ Five crore, sixteen lakh, thirty-six thousand, eight hundred and fifty-four.

Additional Q3. Write in figures.

(1) One crore, fifteen lakh, fifty-nine thousand, seven hundred and four
✍ C=1, TL=1, L=5, TTh=5, Th=9, H=7, T=0, U=4.
✓ 1,15,59,704

(2) Sixty-five crore, seventy lakh, fifty thousand and thirty-nine
✍ TC=6, C=5, TL=7, L=0, TTh=5, Th=0, H=0, T=3, U=9.
✓ 65,70,50,039

(3) Four crore, fifty-nine lakh, forty-three thousand, five hundred and thirty-four
✍ C=4, TL=5, L=9, TTh=4, Th=3, H=5, T=3, U=4.
✓ 4,59,43,534

(4) Eighteen crore, seventy-six lakh, fifty-four thousand and one
✍ TC=1, C=8, TL=7, L=6, TTh=5, Th=4, H=0, T=0, U=1.
✓ 18,76,54,001

Additional Q5. Write these numbers in words.

(1) 17,301 ✓ Seventeen thousand, three hundred and one.

(2) 45,019 ✓ Forty-five thousand and nineteen.

(3) 40,018 ✓ Forty thousand and eighteen.

(4) 28,740 ✓ Twenty-eight thousand, seven hundred and forty.

Additional Q6. How many rupees do they make?

✍ Method: Multiply number of notes × note value for each denomination, then add all together.

(1) 8 × ₹2,000 + 3 × ₹100 + 11 × ₹10
✍ 16,000 + 300 + 110 = ₹ 16,410

(2) 9 × ₹2,000 + 18 × ₹100 + 18 × ₹50 + 18 × ₹10
✍ 18,000 + 1,800 + 900 + 180 = ₹ 20,880

Additional Q6(c). Smallest and biggest 5-digit numbers using given digits (once each).

✍ Rule: For smallest — arrange digits ascending, but never put 0 first. For biggest — arrange digits descending.

(a) Digits: 6, 8, 0, 1, 9
✍ Ascending: 0,1,6,8,9 → but 0 can't lead → swap: 1,0,6,8,9
✍ Descending: 9,8,6,1,0
✓ Smallest: 10,689  |  Biggest: 98,610

(b) Digits: 3, 5, 1, 2, 8
✍ Ascending: 1,2,3,5,8 | Descending: 8,5,3,2,1
✓ Smallest: 12,358  |  Biggest: 85,321

Additional Q7. Read these numbers and write in words.

(1) 2,65,048 ✓ Two lakh, sixty-five thousand and forty-eight.

(2) 1,80,794 ✓ One lakh, eighty thousand, seven hundred and ninety-four.

(3) 1,06,709 ✓ One lakh, six thousand, seven hundred and nine.

(4) 8,80,006 ✓ Eight lakh, eighty thousand and six.

Additional Q8. Write in figures.

(1) Two lakh five thousand three hundred and six
✍ L=2, TTh=0, Th=5, H=3, T=0, U=6 ✓ 2,05,306

(2) Six lakh and six
✍ L=6, all middle places=0, U=6 ✓ 6,00,006

(3) Nine lakh forty thousand and thirty-seven
✍ L=9, TTh=4, Th=0, H=0, T=3, U=7 ✓ 9,40,037

(4) Five lakh ninety-nine thousand and fifteen
✍ L=5, TTh=9, Th=9, H=0, T=1, U=5 ✓ 5,99,015

Additional Q9. Write six 6-digit numbers using digits 0,3,5,7,9,1 (once each) with 9 lakh fifty-seven thousand fixed.

✍ Tip: The first four digits are fixed: 9,57,_ _ _. Remaining digits are 0, 1, 3 — arrange all their permutations in the last three places.

(1) 9,57,301

(2) 9,57,310

(3) 9,57,103

(4) 9,57,130

(5) 9,57,013

(6) 9,57,031

Additional Q9(A). Match the columns.

(A) Words	(B) Figure	Match
(1) Nine lakh nine thousand nine	9,09,090	→ (c) 9,09,009
(2) Nine lakh nine thousand nine hundred nine	9,90,090	→ (d) 9,09,909
(3) Nine lakh nine thousand ninety	9,09,009	→ (a) 9,09,090
(4) Nine lakh ninety thousand ninety	9,09,909	→ (b) 9,90,090

✓ 1–c, 2–d, 3–a, 4–b

Additional Q9(B). Match the columns.

(A) Words	(B) Figure	Match
(1) Thirty-three lakh, three thousand and three	33,30,300	→ (b) 33,03,003
(2) Thirty-three lakh, thirty thousand, three hundred	33,03,003	→ (a) 33,30,300
(3) Thirty lakh, three thousand and thirty	30,30,003	→ (d) 30,03,030
(4) Thirty lakh, thirty thousand and three	30,03,030	→ (c) 30,30,003

✓ 1–b, 2–a, 3–d, 4–c

Additional Q10. Read and write in words.

(1) 34,87,569 ✓ Thirty-four lakh, eighty-seven thousand, five hundred and sixty-nine.

(2) 70,85,039 ✓ Seventy lakh, eighty-five thousand and thirty-nine.

(3) 48,07,102 ✓ Forty-eight lakh, seven thousand, one hundred and two.

(4) 67,40,960 ✓ Sixty-seven lakh, forty thousand, nine hundred and sixty.

(5) 88,00,080 ✓ Eighty-eight lakh and eighty.

(6) 40,40,004 ✓ Forty lakh, forty thousand and four.

Additional Q11. Read and write in figures.

(1) Fifty-nine lakh, seven thousand, seventeen
✍ TL=5, L=9, TTh=0, Th=7, H=0, T=1, U=7 ✓ 59,07,017

(2) Twenty-two lakh, ten thousand, five hundred
✍ TL=2, L=2, TTh=1, Th=0, H=5, T=0, U=0 ✓ 22,10,500

(3) Fifty-two lakh, twenty-five thousand, four hundred and fifteen
✍ TL=5, L=2, TTh=2, Th=5, H=4, T=1, U=5 ✓ 52,25,415

(4) Thirty lakh, thirty thousand and thirty
✍ TL=3, L=0, TTh=3, Th=0, H=0, T=3, U=0 ✓ 30,30,030

Additional Q12. Write the place value of the underlined digit.

(1) 68,03,512 → 8,00,000
Lakhs place

(2) 3,42,157 → 40,000
Ten Thousands

(3) 84,52,170 → 2,000
Thousands

(4) 79,345 → 5
Units

(5) 38,14,093 → 90
Tens

(6) 8,10,618 → 600
Hundreds

(7) 35,10,387 → 30,00,000   Ten Lakhs

Additional Q13. Write in expanded form.

(1) 78,15,692 ✓ 70,00,000 + 8,00,000 + 10,000 + 5,000 + 600 + 90 + 2

(2) 50,95,182 ✓ 50,00,000 + 90,000 + 5,000 + 100 + 80 + 2

(3) 6,40,078 ✓ 6,00,000 + 40,000 + 70 + 8

(4) 9,58,802 ✓ 9,00,000 + 50,000 + 8,000 + 800 + 2

Additional Q14. Write the place name and place value of each digit.

(1) 27,306

Digit	Place Name	Place Value
2	Ten Thousands	20,000
7	Thousands	7,000
3	Hundreds	300
0	Tens	0
6	Units	6

(2) 1,70,425

Digit	Place Name	Place Value
1	Lakhs	1,00,000
7	Ten Thousands	70,000
0	Thousands	0
4	Hundreds	400
2	Tens	20
5	Units	5

(3) 75,68,041

Digit	Place Name	Place Value
7	Ten Lakhs	70,00,000
5	Lakhs	5,00,000
6	Ten Thousands	60,000
8	Thousands	8,000
0	Hundreds	0
4	Tens	40
1	Units	1

(4) 55,555

Digit	Place Name	Place Value
5	Ten Thousands	50,000
5	Thousands	5,000
5	Hundreds	500
5	Tens	50
5	Units	5

✍ ⚠️ Note: Same digit 5 — but different place values each time!

Additional Q15. Expanded form → Write the number.

(1) 70,000 + 6,000 + 500 + 40 + 8
✍ TTh=7, Th=6, H=5, T=4, U=8 ✓ 76,548

(2) 8,00,000 + 30,000 + 5,000 + 400 + 3
✍ L=8, TTh=3, Th=5, H=4, T=0, U=3 ✓ 8,35,403

(3) 60,00,000 + 2,00,000 + 70 + 4
✍ TL=6, L=2, TTh=0, Th=0, H=0, T=7, U=4 ✓ 62,00,074

(4) 20,00,000 + 5,00,000 + 900 + 5
✍ TL=2, L=5, TTh=0, Th=0, H=9, T=0, U=5 ✓ 25,00,905

Additional Q16. Considering the number 50,43,176 — Fill in the blanks.

TL	L	TTh	Th	H	T	U
5	0	4	3	1	7	6

(1) Digit in ten thousands place = 4

(2) Place value of 1 = 100 (Hundreds place)

(3) Digit in lakhs place = 0  ⚠️ (zero — the digit is 0, not empty!)

(4) Place value of 5 = 50,00,000 (Ten Lakhs)

(5) Digit 7 is in the Tens place.

Additional Q17. Write '<' or '>' symbol.

(1) 12,625 < 21,526
TTh: 1 < 2

(2) 23,564 > 23,546
T: 6 > 4

(3) 36,60,660 > 36,60,606
T: 6 > 0

(4) 89,14,507 < 89,15,407
Th: 4 < 5

Additional Q18. Solve the problems.

(1) City A population: 8,57,238 | City B: 8,75,461. Which is more?

✍ TTh: 5 = 5 → Th: 7 < 7? No → TTh same → L: 5 = 5 → TTh: 7 > 5 → 8,75,461 > 8,57,238

✓ City B has a larger population.

(2) Rajnikant's income: ₹3,48,600 | Shashikant's: ₹3,46,500. Whose is less?

✍ 3,46,500 < 3,48,600 (TTh: 6 < 8)

✓ Shashikant's income is less.

Additional Q19. Company profits — A: 4,36,521 | B: 5,42,310 | C: 3,14,200 | D: 5,21,430

Company	Profit (₹)
A	4,36,521
B	5,42,310
C	3,14,200
D	5,21,430

✍ Comparing: 5,42,310 > 5,21,430 > 4,36,521 > 3,14,200
(1) Maximum profit: Company B
(2) Minimum profit: Company C
(3) Descending order: B > D > A > C

Additional Q20. Election votes — Tavade: 37,51,386 | Patel: 48,00,173 | Chauhan: 43,51,239 | Shinde: 34,67,008

(1) Highest votes: Patel (48,00,173)
(2) Least votes: Shinde (34,67,008)
(3) Ascending order: 34,67,008 < 37,51,386 < 43,51,239 < 48,00,173

Additional Q21. Compare using >, < or =

(1) 3,97,48,632 < 3,97,58,632
TTh: 4 < 5

(2) 1,50,15,178 < 1,50,15,780
T: 7 < 8

(3) 3,74,98,561 > 96,42,748
8-digit > 7-digit

(4) 30,49,75,831 > 30,49,00,831
TTh: 7 > 0

Additional Q22. Circle the correct answer.

(1) Mark periods for 617231801 — Indian Number System:
(a) 61,72,31,801   (b) 16,172,31   (c) 617,231,801

✓ Answer: (a) 61,72,31,801

Indian system: group as C,TL L,TTh Th,H T U → 61 | 72 | 31 | 801

(2) Mark periods for 90289164 — International Number System:
(a) 9,0289,164   (b) 902891,64   (c) 90,289,164

✓ Answer: (c) 90,289,164

International system: groups of 3 from right → 90 | 289 | 164

(3) 1,00,00,000 is read as:
(a) Ten crore   (b) One crore   (c) Hundred thousand

✓ Answer: (b) One crore

1 followed by 7 zeros = 1,00,00,000 = One crore

📌 Important Points

1. Comparison Rule: More digits = bigger. If equal digits, compare left to right place by place.

2. Crore = 1,00,00,000 = 100 Lakhs. It is the smallest 8-digit number.

3. Indian vs International: Indian groups: 3-2-2-2 (from right). International groups: 3-3-3 (from right).

4. Ascending = smallest to largest (→). Descending = largest to smallest (←).

5. When arranging digits to form the smallest number, never place 0 at the leftmost position.

💡 Exam Tips

⚡ Quick Comparison Shortcut: Count the digits first! A 7-digit number is always greater than any 6-digit number — no need to compare digit by digit.

⚡ Crore Trick: 99,99,999 + 1 = 1,00,00,000. Always remember: the crore place is the 8th digit from the right.

⚡ Word Problems: Always write the comparison (e.g. 3,45,000 > 2,95,000) before writing the conclusion. Examiners award marks for working!

⚠️ Common Mistakes

❌ Error: Comparing 99,999 and 9,99,999 as equal because they both have "nine nines".
✔️ Correct: 9,99,999 has 6 digits vs 5 digits → 9,99,999 > 99,999 always.

❌ Error: Writing 30,30,030 as 30,30,30 (missing a zero group).
✔️ Correct: Always count all 7 places. Use a place value chart to avoid missing zeros!

❌ Error: Confusing Indian and International comma placement — writing 617,231,801 for Indian system.
✔️ Correct: Indian system → 61,72,31,801.