Multiple choice

$( \text{What approximate value will come at the place of question mark (?) in following questions (you are not expected to calculate exact value)?} )$ $( (?-9.98) + (12.94)^{2} + (.998)^{2} = 840 \div 8\% \text{ of } 50 + (41.992)^{2} + 49.99 )$

  1. 1864

  2. 1720

  3. 1780

  4. 1880

  5. 1895

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

Solve by rounding: ? ≈ 1864. Left side: (? - 10) + (13)² + (1)² = ? - 10 + 169 + 1 = ? + 160. Right side: 840 ÷ (8% of 50) + (42)² + 50 = 840 ÷ 4 + 1764 + 50 = 210 + 1764 + 50 = 2024. Set equal: ? + 160 = 2024, so ? = 1864. The approximation strategy works because rounding errors largely cancel out.