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SubjectsMathematicsArithmeticChapter 1 — Number System1.3 Surds, Indices & Powers

Topic 1.3 · Mathematics · Number System

Surds, Indices & Powers

Surds, Indices & Powers is studied as part of "Number System" (Arithmetic) in Mathematics. Divisibility, HCF-LCM, surds, indices and simplification are the building blocks of all quantitative aptitude.

In the examination context, surds, indices & powers carries conceptual questions that test both factual recall and analytical understanding. Revise this topic in sequence with the rest of the chapter so that chronological and thematic links are clear.

Important Facts

LCM
Least Common Multiple
Unit digit
Determined by cyclicity of the last digit
Divisibility by 9
Sum of digits divisible by 9
HCF
Highest Common Factor

Key Points

  • Divisibility by 9 — Sum of digits divisible by 9
  • HCF — Highest Common Factor
  • LCM — Least Common Multiple
  • Unit digit — Determined by cyclicity of the last digit

Important Names

AryabhataBrahmagupta

Important Dates

c. 628Brahmagupta wrote on zero and negatives
Exam-Oriented Notes
  • »Product of two numbers = HCF × LCM. Use cyclicity to find unit digits quickly.

Related topics

1.1 Divisibility Rules1.2 HCF & LCM1.4 Simplification & Approximation
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