Multiple choice

What approximate value will come in place of question mark (?) in the following questions? 196.1 × 196.1 × 196.1 × 196.1 × 4.01 × 5.001 × 4.999 × 4.002 = (196.1)4 ×4×?

  1. 100

  2. 16

  3. 10

  4. 64

  5. 32
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Divide both sides by 196.1^4 to isolate the unknown: 4.01 × 5.001 × 4.999 × 4.002 = 4 × ?. Approximating: 4.01 ≈ 4, 5.001 ≈ 5, 4.999 ≈ 5, 4.002 ≈ 4. Then 4 × 5 × 5 × 4 = 400, so 400/4 = 100. The approximations cancel out perfectly.

Keep practicing — related questions