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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

The value thirty point eleven times ten raised to the power of nine should be written as:

Options

  • A30.11E9.0
  • B30E11.9
  • C30.11*10^9
  • D30.11E9

How the community answered

(31 responses)
  • A
    3% (1)
  • B
    10% (3)
  • C
    13% (4)
  • D
    74% (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.

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