Problem Set 3 – Six-Digit Numbers and the LakhClass 5 Maths · Chapter 2 Number Work · Problem Set 3 – Maharashtra Board

Summary: Problem Set 3 – Six-Digit Numbers and the Lakh

When we add 1 to 99,999, every place fills up and carries over, so we need a new place on the left. The answer, 1,00,000, is called one lakh.

One lakh = 100 thousand = 1,00,000. Half a lakh is 50,000, so two and a half lakh is 2,50,000.

Six-digit numbers have the places lakhs, ten thousands, thousands, hundreds, tens and units. We put commas after the lakhs digit and after the thousands digit: 3,08,416.

To read a six-digit number, say the lakhs, then the thousands (ten thousands and thousands together), then the rest.

To write a number in figures, start from the highest place and write 0 in every place that is empty.

Key points to remember

• 99,999 + 1 = 1,00,000 (one lakh)
• 1 lakh = 100 thousand
• Half a lakh = 50,000
• 1000 notes of ₹100 = ₹1,00,000
• Smallest six-digit number = 1,00,000
• Biggest six-digit number = 9,99,999
• Commas: 6,05,072 (after lakhs and after thousands)
• Write 0 for every empty place

Problem Set 3 – Six-Digit Numbers and the Lakh – Notes

1. Where does one lakh come from?

• 999 + 1 = 1,000 and 9,999 + 1 = 10,000. Each time a new place appeared on the left.
• In 99,999 + 1 the units become 10, so we carry 1 again and again until the last carry needs a brand-new place.
• That new place is the lakhs place, and the answer 1,00,000 is read as one lakh.

2. How big is a lakh?

• One lakh = 100 thousand. It has 1 followed by five zeros.
• Half of 100 thousand is 50 thousand, so half a lakh = 50,000.
• Three and a half lakh = 3 lakh + 50 thousand = 3,50,000.
• 1000 notes of ₹100 also make ₹1,00,000.

3. Reading six-digit numbers

• The places are: lakhs | ten thousands, thousands | hundreds, tens, units.
• Read in three parts: the lakhs, then the two-digit thousands part, then the last three digits.
• 4,62,318 → four lakh, sixty-two thousand, three hundred and eighteen.
• If a part is all zeros, skip it: 7,00,025 → seven lakh and twenty-five.

4. Writing six-digit numbers in figures

• Start with the digit for the highest place, then fill each place to the right.
• Put 0 in any place that has nothing in it — otherwise the number shrinks!
• Six lakh five thousand seventy-two written as 65072 is wrong: it is only a five-digit number.

5. Making six-digit numbers

• You can make many six-digit numbers with the digits 0 to 9, using each digit only once.
• The first digit must not be 0, or the number has only five digits.
• For the biggest number, put digits from big to small; for the smallest, from small to big (but not 0 first).

Formulas at a glance

Key terms

Problem Set 3 – Six-Digit Numbers and the Lakh – Flashcards

Read the question, answer it in your head, then tap the card to check. 10 cards.

Problem Set 3 – Six-Digit Numbers and the Lakh – MCQ Quiz

10 questions. Tap an option — you will see at once if it is right and why.

How to study Problem Set 3 – Six-Digit Numbers and the Lakh

⏱ About 25 minutes

1. Understand (5 min)
   Add 99,999 + 1 on paper and watch the new lakhs place appear.
2. Read and write (15 min)
   Read five six-digit numbers aloud, then write five number names in figures, putting 0 in empty places.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.