🔢 Numbers up to One Lakh
Class 5 Maths · Unit 1 of 12 · about 180 minutes
Extends place value from thousands to lakhs in the Indian system. Children read, write, expand, compare, order and round numbers up to 1,00,000, using commas correctly. This unit is the foundation for all Grade 5 arithmetic; every later unit assumes fluent reading and comparing of numbers up to one lakh.
What your child will learn
- Students will be able to read and write numbers up to 1,00,000 in numerals and number names, using Indian commas correctly.
- Students will be able to show a number up to 1,00,000 using place value charts and explain the value of each digit.
- Students will be able to write a number up to 1,00,000 in expanded form and convert expanded form back to standard form.
- Students will be able to compare two numbers up to 1,00,000 using place value and the symbols >, < and =.
- Students will be able to arrange up to five numbers up to 1,00,000 in ascending or descending order.
- Students will be able to round a number up to 1,00,000 to the nearest 10, 100 or 1000.
Lessons in this unit
- Indian place value chart: Introduce the Indian place value chart up to lakhs. Children learn the periods (ones, thousands, lakhs) and the places within each period. They read and write numbers up to 1,00,000 with commas.
- Expanded form and place value: Split a number up to 1,00,000 into its place value parts and tell the value of each digit. Convert expanded form back to standard form.
- Comparing numbers: Compare two numbers up to 1,00,000 by looking at the leftmost place first, then moving right. Write >, < or =.
- Ordering numbers: Arrange three to five numbers up to 1,00,000 in ascending or descending order by comparing place values.
- Rounding to nearest 10, 100, 1000: Round numbers up to 1,00,000 to the nearest 10, 100 or 1000 using number lines and rules. Use rounding to estimate in simple contexts.
Key words
- lakh
- One hundred thousand. We write it as 1,00,000.
- place value
- What a digit is worth because of where it sits: lakhs, ten-thousands, thousands, hundreds, tens or ones.
- digit
- One of the symbols 0 to 9 that we use to write numbers.
- expanded form
- A number split into its parts, like 45,678 = 40,000 + 5,000 + 600 + 70 + 8.
- comma
- A small mark (,) that groups digits to make numbers easier to read, like 1,00,000.
- greater than / less than
- Bigger than (>) or smaller than (<).
- ascending order
- From smallest to biggest, like climbing stairs.
- descending order
- From biggest to smallest, like coming down stairs.
- round off
- Say the nearest easy number, like calling 4,876 'about 5,000'.
Help your child at home
What to watch for
- Commas are placed every three digits from the right (international system), so 100000 is written as 100,000.
- Help: In the Indian system, we group the last three digits (hundreds, tens, ones), then the next two (thousands, ten-thousands), then the next (lakhs). So 1,00,000.
- The place value of a digit is the digit itself: in 45,678 the 5 is worth 5.
- Help: Point to the 5 in the thousands column. It stands for 5,000.
- The number with the bigger ones digit is bigger: 45,679 > 45,680 because 9 > 0.
- Help: Always start at the leftmost place. Compare ten-thousands, then thousands, then hundreds, then tens, then ones. 45,679 has 7 tens, 45,680 has 8 tens, so 45,679 < 45,680.
- Ascending means 'biggest first' because it sounds like 'up'.
- Help: Ascending is climbing stairs: you start low (smallest) and go up. Smallest first.
Try this at home
- Place a number in the chart and read it
- Number → expanded form with place value chart
- Different number of digits: 9,999 vs 10,000
- Order 5 numbers ascending with place value chart
Quick questions to ask aloud
- How is 1,00,000 read in the Indian system? (One lakh / One hundred thousand / Ten thousand / One thousand)
Show answer
One lakh. In the Indian system, 1,00,000 is called one lakh. - Which is the expanded form of 45,678? (40,000 + 5,000 + 600 + 70 + 8 / 4 + 5 + 6 + 7 + 8 / 40,000 + 5,000 + 600 + 78 / 45,000 + 678)
Show answer
45,678 has 4 ten-thousands (40,000), 5 thousands (5,000), 6 hundreds (600), 7 tens (70) and 8 ones (8). So the expanded form is 40,000 + 5,000 + 600 + 70 + 8. - Which sign makes this true? 45,678 ___ 45,687 (< / > / =)
Show answer
Compare from the left: ten-thousands (4=4), thousands (5=5), hundreds (6=6), tens (7 < 8). So 45,678 < 45,687.
Frequently asked questions
What will my child learn in "Numbers up to One Lakh" (Class 5 Maths)?
Your child will be able to: read and write numbers up to 1,00,000 in numerals and number names, using Indian commas correctly.; show a number up to 1,00,000 using place value charts and explain the value of each digit.; write a number up to 1,00,000 in expanded form and convert expanded form back to standard form.; compare two numbers up to 1,00,000 using place value and the symbols >, < and =.; arrange up to five numbers up to 1,00,000 in ascending or descending order.; round a number up to 1,00,000 to the nearest 10, 100 or 1000..
How does MangoMindz teach "Numbers up to One Lakh"?
In 5 short parts (Indian place value chart, Expanded form and place value, Comparing numbers, Ordering numbers, Rounding to nearest 10, 100, 1000). Each part has a picture-based lesson read aloud by Mango Teacher, a quick check, and a quiz built from common mistakes children make, with Mango, a study buddy, for questions.
How long does "Numbers up to One Lakh" take?
About 180 minutes in total, spread over 5 parts of 15–25 minutes each.
How can I help my child with "Numbers up to One Lakh" at home?
Work through a small example together, such as: Place a number in the chart and read it; Number → expanded form with place value chart. Then ask a quick question aloud: How is 1,00,000 read in the Indian system? (One lakh / One hundred thousand / Ten thousand / One thousand)
What mistakes do children often make in "Numbers up to One Lakh"?
Commas are placed every three digits from the right (international system), so 100000 is written as 100,000. Fix: In the Indian system, we group the last three digits (hundreds, tens, ones), then the next two (thousands, ten-thousands), then the next (lakhs). So 1,00,000. The place value of a digit is the digit itself: in 45,678 the 5 is worth 5. Fix: Point to the 5 in the thousands column. It stands for 5,000. The number with the bigger ones digit is bigger: 45,679 > 45,680 because 9 > 0. Fix: Always start at the leftmost place. Compare ten-thousands, then thousands, then hundreds, then tens, then ones. 45,679 has 7 tens, 45,680 has 8 tens, so 45,679 < 45,680.
Is "Numbers up to One Lakh" free on MangoMindz?
Yes. Every lesson part and quiz in "Numbers up to One Lakh" is free on MangoMindz, with no ads.