PCEP-30-02 · Question #253
The value thirty point eleven times ten raised to the power of nine should be written as:
The correct answer is D. 30.11E9. Option D is correct because standard E-notation (used in calculators, programming, and scientific contexts) expresses a number as a coefficient followed by the letter E and an integer exponent - making 30.11E9 the proper representation of 30.11 × 10⁹. Why the distractors fail…
Question
Options
- A30.11E9.0
- B30E11.9
- C30.11*10^9
- D30.11E9
How the community answered
(31 responses)- A3% (1)
- B10% (3)
- C13% (4)
- D74% (23)
Explanation
Option D is correct because standard E-notation (used in calculators, programming, and scientific contexts) expresses a number as a coefficient followed by the letter E and an integer exponent - making 30.11E9 the proper representation of 30.11 × 10⁹.
Why the distractors fail:
- A (30.11E9.0): The exponent must be a whole number; writing
9.0(a decimal) is not valid E-notation syntax. - B (30E11.9): Both the coefficient and exponent are wrong - this would represent a different value entirely (30 × 10^11.9).
- C (30.11*10^9): While mathematically correct, this is informal/algebraic notation, not the standardized E-notation format the question asks for.
Memory tip: Think of E as standing for "×10^" - whatever follows E must be a clean integer, just like a true power of 10. If you see a decimal in the exponent (like E9.0) or the wrong coefficient, it's wrong.
Community Discussion
No community discussion yet for this question.