What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)

${22.02}^2+\frac{1}{9}\text{ of }44=?-45.09\%\text{ of }100.9$

We are asked to find the approximate value that replaces the question mark (?) in the expression

${22.02}^2+\frac{1}{9}\text{ of }44=?-45.09\%\text{ of }100.9$

We solve for ? by moving the last term to the right‑hand side:

 ? = (22.02² + (1⁄9)·44) + 45.09 % of 100.9

1. Compute 22.02²

22.02² = (22 + 0.02)² = 22² + 2·22·0.02 + 0.02² = 484 + 0.88 + 0.0004 = 484.8804

2. Compute one‑ninth of 44

⅟9 · 44 = 44⁄9 ≈ 4.8889

3. Add the two results

484.8804 + 4.8889 ≈ 489.7693

4. Compute 45.09 % of 100.9

45.09 % = 0.4509

0.4509 · 100.9 = 0.4509·100 + 0.4509·0.9 = 45.09 + 0.40581 ≈ 45.4958

5. Add this percentage value to the sum from step 3

489.7693 + 45.4958 ≈ 535.2651

6. Choose the closest option

The options are 534, 450, 239, 670. The value 535.3 is nearest to **534**, so the approximate answer is 534.