Ch-1 Real Numbers

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5 Terms

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Fundamental Theorem of Arithmetic

Every composite number can be expressed (factorised) as a product of prime and this factorisation is unique apart from the order in which prime factors occur.

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HCF and LCM for two numbers ‘a‘ and ‘b‘

HCF(a,b)×LCM(a,b)=a×b

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Rational Numbers

Can be expressed in the form p/q, q≠0. p and q don't have any common factor (co-prime).

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Irrational Numbers

Number which cannot be expressed in p/q form.

E.g- √2, √5, 2+√3… etc.

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Important Results

R=Rational

Ir=Irrational

  1. R+R

  2. R-R

  3. R×R

  4. R/R

Result: Rational

  1. Ir+R

  2. Ir-R

  3. Ir×R

  4. Ir/R

Result: Irrational

  1. Ir+Ir

  2. Ir-Ir

  3. Ir×Ir

  4. Ir/Ir

Result: Cannot Say