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Tamil Nadu (TNBSE)Class 4 Mathematics★ 10-12 marks across TN Class 4 Term 1, 2, 3 — 4-digit operations, multiplication 2-digit×2-digit, division 3-digit÷1-digit with remainder, and word problems

Numbers

Samacheer Kalvi (TN State Board) Class 4 Mathematics — Chapter 2, Numbers. 4-digit operations, multiplication and division. Study notes, key concepts, worked examples, practice questions and quick revision for exam preparation.

⏱ 12 min readMedium difficulty✓ Free · NCERT-aligned

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By the end of this chapter you'll be able to…

1Read, write, and compare 4-digit numbers up to 9999; understand place value to thousands
2Round numbers to nearest 10, 100, and 1000
3Multiply 3-digit by 1-digit (324×7) and 2-digit by 2-digit (45×32) with regrouping
4Divide 3-digit by 1-digit with remainder (876÷5 = 175 R1)
5Solve multi-step word problems

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Why this chapter matters

Class 4 Numbers is the computational backbone of upper primary math. Children work with 4-digit numbers (up to 9999), multiply 2-digit by 2-digit (e.g., 45×32), divide 3-digit by 1-digit with remainders, and learn to round/estimate. This is the year computational fluency must be solid — without it, Class 5 fractions, decimals, and algebra become very difficult.

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Numbers — Class 4 Mathematics (Samacheer Kalvi)

TN State Board (Samacheer Kalvi) Class 4 Mathematics, Chapter 2. 4-digit operations, multiplication and division.

1. About this chapter

This chapter covers Numbers as part of the Class 4 Samacheer Kalvi Mathematics curriculum. It deals with 4-digit operations, multiplication and division and builds conceptual understanding essential for the TN School Term Exam.

By the end of this chapter, students will be able to:

Perform 4-digit addition and subtraction
Multiply and divide 2-digit numbers

2. Key concepts

Concept 1: Perform 4-digit addition and subtraction.
Concept 2: Multiply and divide 2-digit numbers.

3. Important terms and formulas

Term / Formula	Description
Perform 4-digit addition and…	Perform 4-digit addition and subtraction
Multiply and divide 2-digit…	Multiply and divide 2-digit numbers

4. Worked examples

Example 1. Applying a key concept from this chapter.

Solution: Identify the relevant principle → apply the formula or rule → state the answer with correct units.

Example 2. A typical exam-style question on numbers.

Solution: Break the problem into steps, use the appropriate formula and verify the answer.

5. Common mistakes

Mistake: Skipping units or forgetting to state them. Fix: Always write units alongside every quantity and answer.
Mistake: Confusing similar terms or concepts in this chapter. Fix: Make a comparison table of the terms during revision.

6. Practice (exam-style)

Define the main term or principle covered in Chapter 2.
Give two real-life examples related to numbers.
Solve a short numerical or descriptive question from this chapter.
State one important formula and explain each symbol.

7. Answer key (hints)

Refer to section 2 (Key concepts) above for the definition.
Examples should be drawn from daily experience and local context.
Apply the formula from section 3, show all steps clearly.
Formula with units — refer to the textbook glossary for symbol meanings.

8. Quick revision

Class 4 Mathematics — Chapter 2: Numbers.
Core idea: 4-digit operations, multiplication and division.
Key outcomes: Perform 4-digit addition and subtraction; Multiply and divide 2-digit numbers.
Always revise diagrams / tables from the Samacheer Kalvi textbook before the exam.

Key formulas & results

Everything you need to memorise, in one card. Screenshot this for revision.

Multiplication 2-digit×2-digit

45×32: Step 1: 45×2=90. Step 2: 45×30=1350 (write 0 in ones place). Step 3: 90+1350=1440.

The placeholder zero when multiplying by the tens digit is crucial — it maintains place value.

Long division

876÷5: 5 goes into 8 once (1×5=5, remainder 3). Bring down 7 → 37. 5 goes into 37 seven times (7×5=35, remainder 2). Bring down 6 → 26. 5 goes into 26 five times (5×5=25, remainder 1). Answer: 175 R1.

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Common mistakes & fixes

These are the exact errors that cost students marks in board exams. Read them once, save yourself the trouble.

WATCH OUT

✗ Forgetting placeholder zero in 2-digit multiplication

✓ When multiplying by the tens digit, FIRST write a 0 in the ones place. This 0 represents 'I am multiplying by a tens digit — the result starts in the tens place.'

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