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Math Help - Order of Operations

  1. #1
    Newbie Kaniballan's Avatar
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    Unhappy Please help me!

    Hi all...

    I hope that someone can help me with this... I just canīt figure it out...

    5a-{-[(-3a+2b)-4b]+[-7a-(a-b)]-3b}

    and this one...

    4c-{(-6d-3c)-[(-8c-11d)-5c+9d]}
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  2. #2
    Site Founder Math Help's Avatar
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    Lightbulb Order of operations

    I love the family guy Avatar

    5a-{-[(-3a+2b)-4b]+[-7a-(a-b)]-3b}

    First get rid of the parenthasese around '-3a +2b'

    5a-{-[-3a+2b-4b]+[-7a-(a-b)]-3b}

    now distribute the '-'

    5a-{3a-2b+4b+[-7a-(a-b)]-3b}

    now distribute the '-' in front of (a-b)

    5a-{3a-2b+4b+[-7a-a+b]-3b}

    now get rid of the brackets

    5a-{3a-2b+4b-7a-a+b-3b}

    Then distribute the negative

    5a-3a+2b-4b+7a+a-b+3b

    finally combine like terms

    5a-3a+7a+a+2b-4b-b+3b

    all the b's cancel and you are left with:

    10a

    You try the second one and I will check your work.
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  3. #3
    Newbie Kaniballan's Avatar
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    Copenhagen
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    Talking Thanks for the help kind person...

    Thank you, I think I understand it now...

    Hereīs the second one...

    4c-{(-6d-3c)-[(-8c-11d)-5c+9d]}

    4c-{-6d-3c-[-8c-11d-5c+9d]}

    4c-{-6d-3c+8c+11d+5c-9d}

    4c+6d+3c-8c-11d-5c+9d

    da da daaaa...

    4d-6c

    On the first one I got confused by the parenthaseses and brackets... removed too many at a time...
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  4. #4
    Site Founder MathGuru's Avatar
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    Thumbs up right answer

    Looks good
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