Multiple choice

Directions: What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to find out the exact value). 2? + 5.01 × 19.99 × 3 + 115 = 419

  1. 0

  2. 1

  3. 2

  4. 3

  5. 5
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C Correct answer
Explanation

Approximating the terms, we can write 5.01 as 5 and 19.99 as 20. The equation becomes 2^? + 5 * 20 * 3 + 115 = 419, which simplifies to 2^? + 300 + 115 = 419. This further simplifies to 2^? + 415 = 419, leading to 2^? = 4, which gives ? = 2.

AI explanation

Round the numbers in the equation to get 2 to the power of question mark, plus 5 times 20 times 3, plus 115, equals 419. Simplify the multiplication to get 300, so the equation becomes 2 to the power of question mark, plus 415, equals 419. Subtracting 415 from 419 leaves 4, meaning 2 to the power of question mark equals 4, so the missing value is 2.

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