Multiple choice

Approximate value of $\dfrac{16}{(0.98)^4}$

  1. $4.54$
  2. $17.28$
  3. $17.4$
  4. $8.1$
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Using the binomial approximation for small values, 0.98 equals 1 minus 0.02, so (0.98) raised to the power of 4 is approximately equal to 1 minus 4 multiplied by 0.02. This makes the denominator approximately 1 minus 0.08, which equals 0.92. The expression then becomes 16 divided by 0.92. Performing the division 1600 divided by 92 yields an approximate result of 17.28.

Keep practicing — related questions