Real Numbers – Revision Notes
Fundamental Theorem of Arithmetic: every composite number can be written as a product of primes in a unique way (apart from order).
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Fundamental Theorem of Arithmetic: every composite number can be written as a product of primes in a unique way (apart from order).
Standard form: ax² + bx + c = 0, where a ≠ 0.
A chemical equation must be balanced so that the number of atoms of each element is the same on both sides (law of conservation of mass).
Ohm’s law: V = IR, at constant temperature.
Lencho, a farmer, has complete faith in God. A hailstorm destroys his entire crop.
Format: sender’s address → date → receiver’s address → subject → salutation → body → complimentary close → name.
Distance is a scalar; displacement is a vector and can be zero even when distance is not.
Rational numbers can be written as p/q (q ≠ 0); their decimal expansion is terminating or repeating.
French society was divided into three Estates; the Third Estate paid most of the taxes.
Non-Cooperation Movement (1920–22) was called off after the Chauri Chaura incident in 1922.
Sandhi: do varnon ke mel se hone wala parivartan — swar sandhi, vyanjan sandhi aur visarg sandhi.
Aupcharik patra (formal): pradhanacharya, adhikari ya sampadak ko likhe jaate hain.
Simple Present: Subject + V1(s/es) — habits and general truths.
Integers include negative numbers, zero and positive numbers.
A fraction represents a part of a whole: numerator / denominator.
Major nutrients: carbohydrates, proteins, fats, vitamins and minerals.
A computer works in the IPO cycle: Input → Process → Output, with storage.
Python is a high-level, interpreted language; indentation defines blocks of code.
SI base units: metre, kilogram, second, ampere, kelvin, mole and candela.
Coulomb’s law: F = kq₁q₂ / r², where k = 9 × 10⁹ N m² C⁻².
A relation is reflexive, symmetric and transitive → equivalence relation.
Use the 15-minute reading time to plan the order in which you will attempt sections.
Revise all formulas from Trigonometry, Mensuration and Statistics in one sheet.
Learn key dates and events in the order they happened — a timeline helps.
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NCERT solutions, chapter explanations, summaries, important questions and revision notes — all free for every student.
Showing 1 of 24 resources
Integers include negative numbers, zero and positive numbers.
Want complete chapter notes?
Handwritten notes, mind maps, PYQs and sample papers are available in our study notes store.