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Lesson

Large Numbers and Place Value

Read and compare whole numbers, distinguish a digit from its value, and use Indian and International number grouping.

30min lesson

Objectives3 goals Lesson6 blocks Review11 assets Practice1389 items

Learning objectives

What to understand

3 goals

Start lesson

Identify a digit's place, face value, and place value.
Read and write numbers using Indian and International grouping.
Expand whole numbers and compare them from the largest place.

Lesson

Step-by-step lesson

6 sections

Concept

Key idea

A digit is one of the symbols 0 to 9. Its place tells us its position in a number. Count from the right: ones, tens, hundreds, thousands, ten-thousands, then lakhs in the Indian system. Each place is worth ten times the place to its right. In 5,47,892, the digit 4 is in the ten-thousands place. Its face value is 4, but its place value is 4 × 10,000 = 40,000. A place name and a place value are different answers: 'ten-thousands' names the position, while '40,000' gives the value. Indian grouping separates the last three digits, then groups in twos: 5,47,892 is five lakh forty-seven thousand eight hundred and ninety-two. International grouping uses groups of three: 547,892 is five hundred and forty-seven thousand eight hundred and ninety-two. The commas and number names change, but the number does not. One lakh is 1,00,000; one million is 10,00,000; one crore is 1,00,00,000.

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6 lesson sections6 cards / 5 notes611 MCQs / 778 written questions

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Notes

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5 notes

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Diagrams

Visual explain cards

2 visuals

Classroom math table with base-ten blocks, abacus beads, counters, and number cards for place value.

Visual model

Place-value columns

A number is easier to read when each digit sits under a fixed place-value heading.

Exam cue: Keep zero placeholders in the numeral. Zero terms may be included or omitted in expanded form.

1Digit -> Place: gets value from
2Place -> Expanded form: creates

Practice

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1389 prompts

611 MCQs778 LAQsMixed test

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Numbers and Operations

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Large Numbers and Place Value

What to understand

Step-by-step lesson

Key idea

What to notice

Worked example

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Numbers and Operations

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Large Numbers and Place Value

What to understand

Step-by-step lesson

Key idea

What to notice

Worked example

Common mistake to avoid

How to structure the answer

Quick check

Key idea

Choose your next activity

Note highlights

Key idea

Summary

Remember

Answer tip

Visual explain cards

Place-value columns

Check this topic

Numbers and Operations

Mark this topic complete

Around this topic