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    #1

    Reading equations, expressions ...

    How to read this equation:
    x^3 + sqrt(3)*x^2 + (lg3 + ln5)*x - (10 + sqrt(5))/3 = 0
    Glossaries:
    1. ^ : for example, 2^2=4; 3^2=9
    2. sqrt : square root, for example, sqrt(4)=2; sqrt(9) = 3
    3. * : multiplying sign, for example, 2*3=6
    4. lg : 10-based logarith, for example, lg10 = 1 ; lg(10^2) = 2 ...
    5. ln : e-based logarith, for example, lne = 1 ; ln(e^2) = 2 ...
    e is a constant with the value equal to 2.718281828...

    6. / : dividing sign, for example, 6/3 = 2.
    Thank you so much!
    Last edited by crazYgeeK; 15-Jun-2011 at 16:51.

  1. BobK's Avatar
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    #2

    Re: Reading equations, expressions ...

    'x cubed plus [the square] root [of] 3 [multiplied] by x squared + x into log 3 + log to the base e + 10 equals/is equal to zero

    [I never did logs to the base e, so don't take it from me. In my world (before 1968) a log was a log to the base 10!]

    b

  2. Barb_D's Avatar
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    #3

    Re: Reading equations, expressions ...

    I believe ln5 would be said the natural log of 5.
    I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.

  3. 5jj's Avatar
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    #4

    Re: Reading equations, expressions ...

    x^3 + sqrt(3)*x^2 + (lg3 + ln5)*x - (10 + sqrt(5))/3 = 0
    Quote Originally Posted by BobK View Post
    'x cubed plus [the square] root [of] 3 [multiplied] by x squared + x into should that be multiplied by?)log 3 + log to the base e5 +(minus!) 10 plus [the square] root [of] 5 over 3 equals/is equal to zero
    I think you missed a bit there.
    NB. There is no guarantee that my additions are correct - I was just pointing them out.

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    #5

    Re: Reading equations, expressions ...

    Quote Originally Posted by fivejedjon View Post
    x^3 + sqrt(3)*x^2 + (lg3 + ln5)*x - (10 + sqrt(5))/3 = 0I think you missed a bit there.
    NB. There is no guarantee that my additions are correct - I was just pointing them out.
    Thank you so much, I think BobK had answered my question before I edited (changed + 10 into -(10 + sqrt(5))/3 )
    Could you please tell me the other way of reading with a consideration to the parenthesises?
    Thank you very much!

  4. 5jj's Avatar
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    #6

    Re: Reading equations, expressions ...

    Quote Originally Posted by crazYgeeK View Post
    Thank you so much, I think BobK had answered my question before I edited (changed + 10 into -(10 + sqrt(5))/3 )
    Could you please tell me the other way of reading with a consideration to the parenthesises?
    Sorry, I'll have to leave that to the experts. Spotting that something was missing was all I could do.

  5. BobK's Avatar
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    #7

    Re: Reading equations, expressions ...

    Quote Originally Posted by crazYgeeK View Post
    ...
    Could you please tell me the other way of reading with a consideration to the parenthesises?
    Thank you very much!
    I'd be guessing. Better leave it to a mathematician.

    [The plural of parenthesis is parentheses. I usually avoid Latin/Greek plurals - a few eyebrows may have been raised at my 'corposes' recently - but this one is generally observed; the plural is pronounced /pǝ'renθǝsi:z/ - only four syllables.]

    b

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    #8

    Re: Reading equations, expressions ...

    View image: 564dc2d2efd1389d6e3a80aac254f829
    It is extremely difficult to read this without any ambiguities if you don't say where the parentheses go. Trying to follow any kind of logic may cause a misunderstanding. I would recommend just reading the symbols as they are written down.

    x cubed plus the square root of three multiplied by x squared plus -- open parentheses -- log three plus natural log five -- close parentheses -- multiplied by x minus -- open parentheses -- ten plus the square root of five -- close parentheses -- divided by three equals zero.

    Note that the listener must know that you are listing all of the parentheses. Otherwise, they may understand that, for example, there are parentheses enclosing

    x - (10 + sqrt(5)).
    Last edited by birdeen's call; 17-Jun-2011 at 16:59.

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    #9

    Re: Reading equations, expressions ...

    Quote Originally Posted by crazYgeeK View Post
    4. lg : 10-based logarith, for example, lg10 = 1 ; lg(10^2) = 2 ...
    5. ln : e-based logarith, for example, lne = 1 ; ln(e^2) = 2 ...
    Note that it is "logarithm".

  6. BobK's Avatar
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    #10

    Re: Reading equations, expressions ...

    Quote Originally Posted by birdeen's call View Post
    Note that it is "logarithm".
    And the 'm' is syllabic - the IPA has a diacritic to indicate a syllabic consonant; but for English Lang teaching the usual transcription is /əm/. (I think this is a shame, but many more experienced teachers than me favour it, so who am I to object?)

    b

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