Class 5 Maths Chapter 2 Number Work Problem Set 3 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 3 (Six-Digit Numbers)

✏️ Practice Exercises & Explanations

Q1. Read the given six-digit numbers aloud and write them down in standard words.

✍ Classmate's Tip: To translate a six-digit number into words, group the place values into distinct houses: [Lakhs], [Thousands], and [Hundreds-Tens-Units].

(1) 7,65,234
✍ Breakdown: 7 Lakhs + 65 Thousands + 2 Hundreds + 34 Units.
✓ Seven lakh, sixty-five thousand, two hundred and thirty-four.

(2) 4,73,225
✍ Breakdown: 4 Lakhs + 73 Thousands + 2 Hundreds + 25 Units.
✓ Four lakh, seventy-three thousand, two hundred and twenty-five.

(3) 3,27,001
✍ Breakdown: 3 Lakhs + 27 Thousands + 0 Hundreds + 1 Unit.
✓ Three lakh, twenty-seven thousand and one.

(4) 8,75,375
✍ Breakdown: 8 Lakhs + 75 Thousands + 3 Hundreds + 75 Units.
✓ Eight lakh, seventy-five thousand, three hundred and seventy-five.

(5) 1,50,437
✍ Breakdown: 1 Lakh + 50 Thousands + 4 Hundreds + 37 Units.
✓ One lakh, fifty thousand, four hundred and thirty-seven.

(6) 2,03,174
✍ Breakdown: 2 Lakhs + 3 Thousands + 1 Hundred + 74 Units.
✓ Two lakh, three thousand, one hundred and seventy-four.

(7) 6,47,851
✍ Breakdown: 6 Lakhs + 47 Thousands + 8 Hundreds + 51 Units.
✓ Six lakh, forty-seven thousand, eight hundred and fifty-one.

(8) 9,00,999
✍ Breakdown: 9 Lakhs + 0 Thousands + 9 Hundreds + 99 Units.
✓ Nine lakh, nine hundred and ninety-nine.

(9) 5,75,010
✍ Breakdown: 5 Lakhs + 75 Thousands + 10 Units.
✓ Five lakh, seventy-five thousand and ten.

(10) 4,03,005
✍ Breakdown: 4 Lakhs + 3 Thousands + 5 Units.
✓ Four lakh, three thousand and five.

Q2. Convert the written words into standard numerical figures.

✍ Visual Method: Jot down placeholder columns: L | TTh | Th | H | T | U in draft. If a specific period is missing from the words, place a 0 inside its column to serve as a placeholder.

(1) One lakh thirty-five thousand eight hundred and fifty-five
✍ Working: L=1, TTh=3, Th=5, H=8, T=5, U=5.
✓ 1,35,855

(2) Seven lakh twenty-seven thousand
✍ Working: L=7, TTh=2, Th=7. Other places are empty (fill in with 0s).
✓ 7,27,000

(3) Four lakh twenty-five thousand three hundred
✍ Working: L=4, TTh=2, Th=5, H=3. Remaining positions get 0s.
✓ 4,25,300

(4) Nine lakh nine thousand ninety-nine
✍ ⚠️ Attention: No "Ten Thousands" or "Hundreds" mentioned! Assign 0s: L=9, TTh=0, Th=9, H=0, T=9, U=9.
✓ 9,09,099

(5) Seven lakh forty-nine thousand three hundred and sixty-two
✍ Working: L=7, TTh=4, Th=9, H=3, T=6, U=2.
✓ 7,49,362

(6) Eight lakh one hundred and sixty-two
✍ ⚠️ Attention: Missing "Ten Thousands" and "Thousands". Assign 0s: L=8, TTh=0, Th=0, H=1, T=6, U=2.
✓ 8,00,162

Q3. Formulate five distinct six-digit numbers by utilizing any of the digits from 0 to 9 exactly once per number.

✍ Conceptual Rule: We must pick six different digits from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Ensure that 0 is never placed first (in the Lakhs place), otherwise it reduces to a five-digit number.

Here are five creative six-digit numbers formed with unique digits:

🌟 Number 1: 4,09,138
✍ Breakdown: Digits used: {4, 0, 9, 1, 3, 8}. Spelled as: Four lakh, nine thousand, one hundred and thirty-eight.

🌟 Number 2: 3,17,045
✍ Breakdown: Digits used: {3, 1, 7, 0, 4, 5}. Spelled as: Three lakh, seventeen thousand and forty-five.

🌟 Number 3: 1,20,645
✍ Breakdown: Digits used: {1, 2, 0, 6, 4, 5}. Spelled as: One lakh, twenty thousand, six hundred and forty-five.

🌟 Number 4: 9,72,860
✍ Breakdown: Digits used: {9, 7, 2, 8, 6, 0}. Spelled as: Nine lakh, seventy-two thousand, eight hundred and sixty.

🌟 Number 5: 6,54,302
✍ Breakdown: Digits used: {6, 5, 4, 3, 0, 2}. Spelled as: Six lakh, fifty-four thousand, three hundred and two.

📌 Important Points

1. Place Order: Moving from right to left, place names are Units, Tens, Hundreds, Thousands, Ten Thousands, and Lakhs.

2. A 6-digit number has its highest place value at the Lakhs position.

3. Always write standard commas to improve numerical readability: L,TTh,Th,H,T,U.

💡 Exam Tips

⚡ Comma Rule: In the Indian numbering system, set the first comma after the initial three digits from the right. Set subsequent commas after every block of two digits. Example: 4,50,300.

⚡ Place Checking: Scan the written words carefully. If some intermediate values are completely left out, always put zeros as placeholders in those specific digits!

⚠️ Common Mistakes

❌ Error: Expressing "Eight lakh one hundred" incorrectly as 8,100 or 8,01,00.

✔️ Correct Solution: Remember that "Eight lakh" = 8,00,000. Adding "one hundred" gives 8,00,100. Always fill in missing place values with zeros!