We Distribute, Yet Things Multiply
CBSE · Class 8 · Mathematics
Quick revision notes for We Distribute, Yet Things Multiply — CBSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Distributive Property: The Basic Idea
- The distributive property of multiplication over addition is written as a(b + c) = ab + ac.
- It means one number multiplies each term inside the bracket.
- The reverse order also works: (a + b)c = ac + bc.
2. Increase and Decrease in Products
- If one number in a product is increased by 1, the product increases by the other number.
- For a product ab, if b is increased by 1, then a(b + 1) = ab + a.
- The product increases by 23 when 27 is increased by 1 in 23 × 27.
3. Expanding Binomial Products
- The distributive property helps expand products of brackets.
- If one bracket has a plus and the other has a minus, every term must be multiplied correctly.
- The pattern works for (a + u)(b - v), (a - u)(b + v), and (a - u)(b - v).
4. Distributive Property with Three or More Terms
- The distributive property is not limited to two terms inside a bracket.
- Each term outside the bracket must multiply every term inside it.
- This is useful in longer algebraic expressions.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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