Find the approximate value of x (in integers).

\(12.21 + 0.69 - \sqrt{99.90} + (5.90 - 3.90) = x\)

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  1. 7
  2. 6
  3. 4
  4. 5

Answer (Detailed Solution Below)

Option 4 : 5
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Detailed Solution

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Given:

12.21 + 0.69 - √99.90 + (5.90 - 3.90) = x

Formula Used:

Approximation of numbers to the nearest integer for calculation.

Calculations:

⇒ 12.21 ≈ 12

⇒ 0.69 ≈ 1

⇒ √99.90 ≈ √100 = 10

⇒ (5.90 - 3.90) = 2.00 ≈ 2

Substituting approximate values into the equation:

⇒ x = 12 + 1 - 10 + 2

⇒ x = 13 - 10 + 2

⇒ x = 3 + 2 = 5

Hence, the correct answer is "Option 4".

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