Compute $1.05^{2}$ using $(a+b)^{2}$.

Compute $1.05^{2}$ using $(a+b)^{2}$.
  1. $1.1025$
  2. $1.10025$
  3. $1.10$
  4. $1.025$

Solution

$(1 + 0.05)^{2} = 1 + 2(0.05) + 0.0025 = 1 + 0.1 + 0.0025 = 1.1025$.

Asked in: IMO

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