Multiple choice

What approximate value will come in place of the question mark (?) in the following question? (49.99)2 – (8.9)2 – (15.9)2 = ?

  1. 2165

  2. 2000

  3. 1965

  4. 1920

  5. 1885
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A Correct answer
Explanation

Approximate the values: 50^2 - 9^2 - 16^2 = 2500 - 81 - 256 = 2163. The closest option is 2165.

AI explanation

Using the approximation for nearby integers, we round the numbers to 50, 9, and 16 respectively. The equation becomes 50 squared minus 9 squared minus 16 squared, which equals 2500 minus 81 minus 256. Subtracting these values gives 2500 minus 337, resulting in 2163; therefore, the closest approximate value is 2165.

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