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    vhuanca's Avatar
    vhuanca Posts: 2, Reputation: 1
    New Member
     
    #1

    Feb 27, 2010, 10:20 PM
    0.13 x 6.022 x 10^23= 7.8286x10^22 in sig fig
    how can I change this answer into a sig fig answer is 7.800 x 10^22 correct?
    ROLCAM's Avatar
    ROLCAM Posts: 1,420, Reputation: 23
    Ultra Member
     
    #2

    Feb 28, 2010, 03:59 AM

    .13*6.022 = .78286
    just ignore the 10^23

    ___________________________
    7.8286x10^22
    Alter this to
    .78286 x 10^23
    just ignore the 10^23 as above.
    you are then left with
    .78286 as above.

    The two equations are equal.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #3

    Mar 1, 2010, 09:22 AM

    Sig fig means 'Significant figures' Depending on the situation, you may be asked to give your answers in different number of sig fig.

    If you are asked to give your answer to 1 sig fig, then, only one 'number' should appear.

    Examples of 1 sig fig numbers:
    1000
    500
    20
    0.2
    0.004

    NOT 1 sig fig numbers:
    0.0010
    1001
    200.00

    Do you understand now?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
     
    #4

    Mar 2, 2010, 09:06 AM

    The important thing here is that the data that you were given is good to only two significant digits (0.13). Hence the answer that you give is also good to only two significant digits: 7.8 x 10^22. Do NOT put the extra 0's on, as that implies that your result is good to more significant digits than it really is. Hence the answer of 7.8 x 10^22 is "more accurate" than an answer of 7.800 x 10^22.

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