Multiple choice

\text{Find the approximate value of the following } - 196.1 \times 196.1 \times 196.1 \times 196.1 \times 4.01 \times 4.001 \times 4.999 \times 4.999 = (196.1)^{4} \times 4 \times ?

  1. 240

  2. 100

  3. 120

  4. 160

  5. 150

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

The expression 196.1⁴ × 4.01 × 4.001 × 4.999 × 4.999 can be rewritten as (196.1)⁴ × 4 × (4.999)² using the relationship 4.01 × 4.999 ≈ 4 × 5 = 20, giving 4.999² ≈ 25. Therefore the question mark equals (4.999)²/4 ≈ 25/4 ≈ 6.25, but looking at the pattern, the question is asking for 4.999² ≈ 25, and 25 × 4 = 100. The correct answer is 100.