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0.1 + (0.1)^2 + (0.1)^3

This topic has 2 expert replies and 0 member replies
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
Joined
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Posted:
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0.1 + (0.1)^2 + (0.1)^3

Post Thu Apr 28, 2016 1:38 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    0.1 + (0.1)^2 + (0.1)^3 =

    A) 0.1
    B) 0.111
    C) 0.1211
    D) 0.2341
    E) 0.3

    B

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    Post Thu Apr 28, 2016 2:02 pm
    boomgoesthegmat wrote:
    0.1 + (0.1)^2 + (0.1)^3 =

    A) 0.1
    B) 0.111
    C) 0.1211
    D) 0.2341
    E) 0.3

    B
    One approach is to convert each decimal to a fraction, and then apply the powers.
    We get: 0.1 + (0.1)² + (0.1)³ = 1/10 + (1/10)² + (1/10)³
    = 1/10 + 1/100 + 1/1000
    = 100/1000 + 10/1000 + 1/1000 [rewrite each fraction with common denominator of 1000]
    = 111/1000
    = 0.111 [rewrite as decimal]

    Answer: B

    Related Resources
    The following videos cover the concepts/strategies that are useful for answering this question:
    - Introduction to fractions: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1065
    - Conversions with fractions and decimals: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1066
    - Operations with fractions: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1068

    Cheers,
    Brent

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    GMAT/MBA Expert

    Post Thu Apr 28, 2016 2:07 pm
    I'd factor:

    .1 * (1 + .1 + .1*.1) =

    (1/10) * (1 + 1/10 * 1/100) =

    1/10 + 1/100 + 1/1000 =

    .111

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