Chapter 6: We Distribute Yet Things Multiply…

✓ Free notes class 8 Mathematics 1 study file

About these notes

Class 8 Mathematics Chapter 6 We Distribute Yet Things Multiply (CBSE / Bihar Board) gives concise notes with definitions, key formulas, worked examples and quick revision points to practise distributive methods and factorisation. Main sub-topics: distributive law a × (b + c) = a × b + a × c (and over subtraction), taking common factor (factor (गुणक)), factorisation by grouping, using distribution to speed up multiplications, and word-problems applying distribution. For Class 8 students of CBSE and Bihar Board preparing for unit tests, term exams and site-wide chapter tests and mock tests on Merit Spring ROH, these notes support quick revision and practice.

Key points you will learn

Class 8 Mathematics Chapter 6 We Distribute Yet Things Multiply notes
Distributive law: a × (b + c) = a × b + a × c and a × (b − c) = a × b − a × c
Factorisation by taking common factor: ax + ay = a(x + y) — factor (गुणक) extraction
Use distribution for mental multiplication, e.g. 25 × 16 = 25 × (10 + 6) = 250 + 150
Factorisation by grouping for four-term expressions
Tip: always expand to check your factorisation and watch signs with subtraction
Apply distributive rule to simple algebraic expressions and word problems

What is inside this chapter

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We Distribute Yet Things Multiply - Chapter 6 Notes (Class 8 Maths)

Class 8 Maths We Distribute Yet Things Multiply - Chapter 6 handwritten-style revision notes for CBSE and Bihar Board students.

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Questions students ask

What is the distributive property in Chapter 6?

The distributive property says a × (b + c) = a × b + a × c and similarly for subtraction; it lets you expand or simplify expressions. For example, 2 × (3 + 4) = 2 × 3 + 2 × 4, which helps in algebra and arithmetic.

How to factorise ax + ay quickly?

Take the common factor a outside to write ax + ay = a(x + y). Always check by expanding back, simplify any numeric common factor first, and be careful with negative signs when terms subtract.

How does factorisation help in multiplication and division?

Factorisation rewrites sums as products (for example 12 + 18 = 6(2 + 3)), which makes multiplication easier and helps cancel common factors when dividing, reducing calculation steps in problems.

Where to find Class 8 Maths Chapter 6 notes and practise tests?

Merit Spring ROH hosts chapter notes for We Distribute Yet Things Multiply; use the site-wide chapter tests and board-pattern mock tests to assess your practice and revision for CBSE and Bihar Board.

How to use distributive law to multiply large numbers?

Split one factor into a sum and apply a × (b + c), then add partial products. Example: 25 × 16 = 25 × (10 + 6) = 250 + 150 = 400; practise different splits for speed.

More Mathematics chapters

Chapter 1: A Square and a Cube Chapter 2: Power Play Chapter 3: A Story of Numbers Chapter 4: Quadrilaterals Chapter 5: Number Play Chapter 7: Proportional Reasoning 1 All chapters →

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