Simplification and Approximation Questions

Multiple choice
  1. 1.171

  2. 1.175

  3. 1.177

  4. 1.179

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the binomial expansion (1+x)^n = 1 + nx + n(n-1)/2 * x^2 + ..., where x=0.02 and n=8. This gives 1 + 8(0.02) + 28(0.0004) = 1 + 0.16 + 0.0112 = 1.1712, which is approximately 1.171.