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  • Transposition of Forumulae

    Put your hand up if you are finding Transposition of Formulae hard!


  • #2
    Re: Transposition of Forumulae

    A formula is an algebraic relationship between two or more variable quantities.

    For example, A = lw is a formula for the area, A, of a rectangle of length l and width w. In the formula, A is expressed in terms of l and w. We say that A is the subject of the formula.

    If we know the values of l and w, the corresponding value of A is determined by substituting l and w into the formula. However, if we know the values of A and l and are required to find the value of w, then it is convenient to rearrange the formula in order to express w in terms of A and l as follows:

    A = lw can be transposed by dividing both sides by l and swapping the LHS and RHS to give w = A / l.

    Now w is the subject of the formula.

    The process of expressing w in terms of A and l is called transposition or changing the subject of the formula.
    Not all Trade Unionists are left wing, socialists or even ugly

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    • #3
      Re: Transposition of Forumulae

      Transposition of Formulae is what i find the easiest!

      However, im sure that when you start the course, you'll find people who will help you.
      Similarly, im sure there are other topics that you find easy and that you'll be able to help others with.

      We'll all get there eventually
      I Aear c?n ven na mar. (Elvish)
      Ee eye-are kahn vehn nah mar. (Pronunciation)
      The Sea calls us home. (English translation)

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      • #4
        Re: Transposition of Forumulae

        Transposition is literally the devil's work. It's easy enough when your talking about A = LW or other basic formulae. But when you start getting into shnizzle like T = 2 ? ? w / gf.................it all gets a bit heavy in my opinion.

        Personally I think if you can't get your head around it, don't keep trying to teach it to yourself, seek help from a GOOD tutor. That's how I managed it anyway.

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        • #5
          Re: Transposition of Forumulae

          I fully understand the concept of transposition of formulae but its been so long since ive done any maths. Its only the hardest of the transpositions that I find difficult as there seems to me may possible answers to me. Ironically ive done this all before and won maths awards, notably a gold award for the national maths challenge.

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          • #6
            Re: Transposition of Forumulae

            i was always useless at this whilst doing my a levels...

            although i finally got it 2 months before my economics exam
            Not all Trade Unionists are left wing, socialists or even ugly

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            • #7
              Re: Transposition of Forumulae

              It will make more sense when you sit down with a tutor. It is really a case of following a set of rules, and as with anything, the more you practice, the easier it gets. Just make sure that you ask for help early!
              Any opinions offered are mine and not necessarily those of my employer.

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              • #8
                Re: Transposition of Forumulae

                It might help if people didn't use Latinate words like "Transposition"... instead of more everyday words like "rearranging", or even "moving bits about".

                How about this?
                http://www.virtualmaths.org/activities/ ... sposition#

                If it get's tricky, with lots of bits (like T = 2 ? ? w / gf), you can just group bits of it together temporarily... e.g.:

                let 2 ? = a
                let w / gf = b

                and then remember that square root (?), is just a lazy way of writing "to the power of a half".

                so you end up with: T = a (b)^(1/2)

                and then you know that you can move that whole lump of (b)^(1/2) across the equals and under the T and then gets a minus in front of the 1/2, because everything on the bottom of a fraction is a negative power... have I made it better or worse?

                I've got ASCII set up to display maths nicely on the wiki, so I can make a page for it if you like?
                Emeritus Admin & Founding Member

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                • #9
                  Re: Transposition of Forumulae

                  Worse! *scratches head*
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                  Hello! I'm Chris. I'm away a lot so I'm sorry if it takes me a while to reply to messages, but I promise I'll get back to everyone. If it's urgent, please email me directly at [email protected].

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                  • #10
                    Re: Transposition of Forumulae

                    Alright, you have to understand the way I'm typing things, and what "indices" are....

                    a^b means an "a" with a little "b" on it's top right, and means "a to the power of b" or "a multiplied by itself for however many times b is", so if b=2, then a^b = a^2 (i.e. "a squared"), which = a x a. Et cetera...

                    So next, when you write "a", what you really mean is "a^1" = "there is just one "a"... (as an aside, when you write a^0 = 1)... and when you write 1/a, you really mean (in maths) "a^-1" = "a with a little -1 on the top right of it.

                    So then this is a way of describing anything in a fraction... you can just make it = "a", or whatever is convenient... it's a bit like rearranging lego to do a particular thing.

                    It makes life easier to just memorise some things... like: square root means "a^(half)", cube root means "a^(third)", etc... and when you stick them on the bottom bit of a fraction they get a minus in front.
                    When you make them into numbers with "powers" (= "indices"), you remove all the mystery of the funny maths squiggles, and make them easy to deal with - just a matter of doing simple sums.
                    I'm sure they are a favourite exam question to set, as you can eaily pull out a really horrible-looking one, but they are never actually that difficult once you learn to look at them the right way, and just rewrite on convert things into more easy to shift about components.

                    Any better?
                    Emeritus Admin & Founding Member

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                    • #11
                      Re: Transposition of Forumulae

                      I've never once heard of that method of grouping together parts of the formula and calling it a or b, in the name of making it all easier....
                      .......but from where I'm sitting it seems to make sense. Is that a commonly taught method??

                      I agree about the terminology too, "transpose this" and "make T the subject of..." lets just cut the bull**** and call it what it is, "rearranging".

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                      • #12
                        Re: Transposition of Forumulae

                        I dunno, but I bet I'm going to have to explain the Onion method if we get to DE; and upload my Trig square.
                        Alas, you have to learn the bull****, but we can build a wiki page with a vocab list for people... I can't tell you what a feadhuck it was to find that there are potentially about 8 different terms for corner frequency...
                        Emeritus Admin & Founding Member

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