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Math Help - Units Simplification

  1. #1
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    Thumbs down Units Simplification

    How would you convert the following into squared units
    - 4,000 mm2 = m2
    - 12.5 m2 =cm2
    - 2km = m2
    - 12 cm2 = mm2
    - 4.5 m2 = mm2
    - 56.8 cm2 = mm2
    - 1 000 000 mm2 = cm2
    - 5 billion cm2 = km2
    - 6 x 1018 mm2 = km2
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  2. #2
    Newbie Le GoogelGuRu's Avatar
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    Hi,

    The last one appears to be the same as the one I asked (since you're in my class, I can understand that ), so you may want to look at this thread:

    http://www.mathhelpforum.com/math-he...tions-you.html
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by robynyoung View Post
    How would you convert the following into squared units
    - 4,000 mm2 = m2
    Here's the first one, tell me f you get it. if you do, try the others
    Attached Thumbnails Attached Thumbnails Units Simplification-conv.gif  
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  4. #4
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    Quote Originally Posted by Jhevon View Post
    Here's the first one, tell me f you get it. if you do, try the others

    I dont get the rest.. I have a learning disability and I find it very hard to figure out things. I need your help
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by robynyoung View Post
    I dont get the rest.. I have a learning disability and I find it very hard to figure out things. I need your help
    did you try to read through the first? if you need more info, you can see the thread Le GoogelGuRu suggested. i went into detail there.

    but i'll do the rest if it makes you comfortable. it won't help you on your midterm though if you don't try to get the method and try it yourself. which method did you like better, i did the first question two slightly different ways, which do you fancy?

    Quote Originally Posted by robynyoung View Post
    I dont get the rest.. I have a learning disability and I find it very hard to figure out things. I need your help
    i gave you all the equations you need in my second post. you should be able to see what unit you're going from to which, and just replace the old unit with the new unit
    Last edited by ThePerfectHacker; April 4th 2007 at 07:50 PM.
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  6. #6
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    Quote Originally Posted by Jhevon View Post
    i gave you all the equations you need in my second post. you should be able to see what unit you're going from to which, and just replace the old unit with the new unit

    I Really dont understand what you are trying to say,, This is not making any sence to me right now,,


    Could you exsplain more breifly.. Thanks
    Robyn
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  7. #7
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by robynyoung View Post
    I Really dont understand what you are trying to say,, This is not making any sence to me right now,,


    Could you exsplain more breifly.. Thanks
    Robyn
    ok. i assume you know the laws of exponents, and how to raise things to powers and add the powers when multiplying things of the same base, so let's not go into that. if you don't, look it up or see the thread that was suggested earlier.

    now i'm going to walk you through question 2. don't just read what i did once and say you don't understand, re-read each sentence and each step, until you get it. if you are SURE that no matter how many times you read it you will not get it, then say so.

    here goes. the question is:

    12.5 m^2 = ? cm^2

    since we want to go from m to cm, you look for the equation that i posted with 1 m = ? cm. when you find that, we're in business.

    now i did post such an equation, it goes like this:
    1 m = 10^2 cm

    so, since 1 m is the same as 10^2 cm, it means that in the question, wherever i see 1m i can replace it with 10^2 cm, becuase they are the same thing, that's what being equal means.

    so we have 12.5 m^2, since 1m = 10^2 cm
    12.5 m^2 = 12.5 (10^2 cm)^2
    see how i replaced the red text with the new red text, because they are the same thing. now all we have to do is simplify

    now to raise something to a power to another power, we multiply the powers. that is, (x^m)^n = x^(m*n)

    so (10^2)^2 = 10^(2*2) = 10^4
    and (cm)^2 = cm^2

    so we can just raise the 10^2 and cm to the second power as described above and keep them beside each other, which is another law of exponents.

    that is, (x*y)^2 = x^2 * y^2

    so, 12.5 (10^2 cm)^2 = 12.5 * (10^2)^2 cm^2
    = 12.5 * 10^4 cm^2
    = 1.25 x 10^1 * 10^4 cm^2 .........i changed 12.5 to scientific notation, i hope you know how to do that

    now we have 10^1 * 10^4
    a law of exponents says, that if we multiply the same base (in this case 10) we add the powers to get the new power, and raise the base to the new power.

    so 10^1 * 10^4 = 10^(1 + 4) = 10^5

    so, 1.25 x 10^1 * 10^4 cm^2 = 1.25 x 10^5 cm^2

    so 12.5 m^2 = 1.25 x 10^5 cm^2

    and we're done
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  8. #8
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    Quote Originally Posted by Jhevon View Post
    ok. i assume you know the laws of exponents, and how to raise things to powers and add the powers when multiplying things of the same base, so let's not go into that. if you don't, look it up or see the thread that was suggested earlier.

    now i'm going to walk you through question 2. don't just read what i did once and say you don't understand, re-read each sentence and each step, until you get it. if you are SURE that no matter how many times you read it you will not get it, then say so.

    here goes. the question is:

    12.5 m^2 = ? cm^2

    since we want to go from m to cm, you look for the equation that i posted with 1 m = ? cm. when you find that, we're in business.

    now i did post such an equation, it goes like this:
    1 m = 10^2 cm

    so, since 1 m is the same as 10^2 cm, it means that in the question, wherever i see 1m i can replace it with 10^2 cm, becuase they are the same thing, that's what being equal means.

    so we have 12.5 m^2, since 1m = 10^2 cm
    12.5 m^2 = 12.5 (10^2 cm)^2
    see how i replaced the red text with the new red text, because they are the same thing. now all we have to do is simplify

    now to raise something to a power to another power, we multiply the powers. that is, (x^m)^n = x^(m*n)

    so (10^2)^2 = 10^(2*2) = 10^4
    and (cm)^2 = cm^2

    so we can just raise the 10^2 and cm to the second power as described above and keep them beside each other, which is another law of exponents.

    that is, (x*y)^2 = x^2 * y^2

    so, 12.5 (10^2 cm)^2 = 12.5 * (10^2)^2 cm^2
    = 12.5 * 10^4 cm^2
    = 1.25 x 10^1 * 10^4 cm^2 .........i changed 12.5 to scientific notation, i hope you know how to do that

    now we have 10^1 * 10^4
    a law of exponents says, that if we multiply the same base (in this case 10) we add the powers to get the new power, and raise the base to the new power.

    so 10^1 * 10^4 = 10^(1 + 4) = 10^5

    so, 1.25 x 10^1 * 10^4 cm^2 = 1.25 x 10^5 cm^2

    so 12.5 m^2 = 1.25 x 10^5 cm^2

    and we're done


    Ok,
    I have read this a nice few times and This still makes no sence.. Can you stop using other numbers It is confussing me just use the actual questions Please and thank-you..

    Robyn
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  9. #9
    is up to his old tricks again! Jhevon's Avatar
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    Here's question 3
    Attached Thumbnails Attached Thumbnails Units Simplification-quest3.gif  
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  10. #10
    Newbie Le GoogelGuRu's Avatar
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    Robyn,

    For cm to m, take 100 x 100 (since it's squared) and divide since the answer in metres will be smaller than cm.

    Sorry, I can't explain very good, but that's how I did it.

    Jhevon, in the other thread when you showed me how to do the last one that was a little different, if this is the method you use (with all the stuff you did in this thread), it's completely different than what I remember from school for the basic ones that were asked in this thread. I missed the day with the one I asked, so I had no clue about that.

    I guess there are several ways to do it.
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  11. #11
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Le GoogelGuRu View Post
    Robyn,

    For cm to m, take 100 x 100 (since it's squared) and divide since the answer in metres will be smaller than cm.

    Sorry, I can't explain very good, but that's how I did it.

    Jhevon, in the other thread when you showed me how to do the last one that was a little different, if this is the method you use (with all the stuff you did in this thread), it's completely different than what I remember from school for the basic ones that were asked in this thread. I missed the day with the one I asked, so I had no clue about that.

    I guess there are several ways to do it.
    yes, there are several ways to do it. there are two main ways, however, i find the other one extremely annoying. it's where you write out all the conversion factors including the units and try to get the units you don't want to cancel each other out
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  12. #12
    is up to his old tricks again! Jhevon's Avatar
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    Here's question 4

    I was using a template and forgot to change the m to mm, so just change it yourself. where you see m it should be mm
    Attached Thumbnails Attached Thumbnails Units Simplification-quest4.gif  
    Last edited by Jhevon; April 1st 2007 at 01:48 PM.
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  13. #13
    is up to his old tricks again! Jhevon's Avatar
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    Here's question 5

    Same here, the final unit should be mm^2
    Attached Thumbnails Attached Thumbnails Units Simplification-quest5.gif  
    Last edited by Jhevon; April 1st 2007 at 01:49 PM.
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  14. #14
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Le GoogelGuRu View Post
    Robyn,

    For cm to m, take 100 x 100 (since it's squared) and divide since the answer in metres will be smaller than cm.
    that seems like an ok explanation to me, if you backed it up with an example, it would be even better!
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  15. #15
    is up to his old tricks again! Jhevon's Avatar
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    Here's question 6

    hehe, and again here, m should be mm, i'll try to get it right from now on
    Attached Thumbnails Attached Thumbnails Units Simplification-quest6.gif  
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