Number System
NIOS · Class 10 · Maths
All formulas from Number System in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.
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Number System Hierarchy
Rational Numbers
p/q (where p, q ∈ Z, q ≠ 0)
Standard form: p/q where gcd(p,q) = 1 and q > 0
Decimal Representation
For terminating decimal: denominator = 2^m × 5^n
x = 0.abc̄ → x = abc/999 (for 3-digit repetend)
x = 0.ab̄c̄ → x = (abc - ab)/990
Irrational Numbers
√n is irrational if n is not a perfect square
a + b√c is irrational if √c is irrational and b ≠ 0
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