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If a = -0.3, (OG160

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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If a = -0.3, (OG160

Post Thu May 19, 2016 3:44 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If a = -0.3, which of the following is true?

    A) a < a^2 < a^3
    B) a < a^3 < a^2
    C) av2 < a < a^3
    D) av2 < a^3 < a
    E) a^3 < a < a^2

    OA: B

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    Post Thu May 19, 2016 3:59 pm
    I fixed answer choices C and D to reflect the intent of the question.

    boomgoesthegmat wrote:
    If a = -0.3, which of the following is true?

    A) a < a² < a³
    B) a < a³ < a²
    C) a² < a < a³
    D) a² < a³ < a
    E) a³ < a < a²

    OA: B
    If a = -0.3, then:
    a = -0.3
    a² = (-0.3)(-0.3) = 0.09
    a³ = (-0.3)(-0.3)(-0.3) = -0.027

    If we order these values, we get: -0.3 < -0.027 < 0.09
    In other words, a < a³ < a²
    Answer: B

    Cheers,
    Brent

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    Post Thu May 19, 2016 4:02 pm
    Hi boomgoesthegmat,

    For this question, it's important to remember WHY a number is bigger than another number. By definition, the farther to the RIGHT on a number line, the bigger the number is.

    Since A = -.3, we can calculate the values of the other terms and then put them in order from least to greatest...

    A^2 = +.09
    A^3 = -.027

    In this example, A^3 is GREATER than A (since it's closer to 0, and farther to the right on the number line), but since they're both negative, A^2 is greater than them both.

    Final Answer: B

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