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    Long Division

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    mezooo125
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    Long Division

    مُساهمة من طرف mezooo125 في الثلاثاء 19 أغسطس 2008, 9:37 pm

    Long Division


    Below is the process written out in full. (It is what is called an "algorithmic process").
    You will often see other versions. These are generally just a shortened version
    of the process below
    .

    Let's see how it is done with:


    425 ÷ 25

    There are two definitions we must make first.


    • the number to be divided into is known as the dividend (425 from above)
    • The number which divides the other number is known as the divisor (25 from above)
    Note: You can also see this done in Long Division Animation






    4 ÷ 25 = 0 remainder 4The first number of the dividend is divided by the divisor.
    The whole number result is placed at the top. Any remainders are ignored at this point.
    25 × 0 = 0The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
    4 – 0 = 4Now we subtract the bottom number from the top number.
    Bring down the next number of the dividend.
    42 ÷ 25 = 1 remainder 17Divide this number by the divisor.
    The whole number result is placed at the top. Any remainders are ignored at this point.
    25 × 1 = 25The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
    42 – 25 = 17Now we subtract the bottom number from the top number.
    Bring down the next number of the dividend.
    175 ÷ 25 = 7 remainder 0Divide this number by the divisor.
    The whole number result is placed at the top. Any remainders are ignored at this point.
    25 × 7 = 175The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
    175 – 175 = 0Now we subtract the bottom number from the top number.
    There are no more numbers to bring down. The answer must be 17


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    رد: Long Division

    مُساهمة من طرف mezooo125 في الثلاثاء 19 أغسطس 2008, 9:40 pm

    Long Division with Remainders


    When we are given a long division to do it will not always work out to a whole number.
    Sometimes there will be numbers left over. These are known as remainders.
    Taking an example similar to that on the Long Division page it becomes more clear:
    435 ÷ 25
    (If you feel happy with the process on the Long Division page you can skip the first bit.)





    4 ÷ 25 = 0 remainder 4The first number of the dividend is divided by the divisor.
    The whole number result is placed at the top. Any remainders are ignored at this point.
    25 × 0 = 0The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
    4 – 0 = 4Now we take away the bottom number from the top number.
    Bring down the next number of the dividend.
    43 ÷ 25 = 1 remainder 18Divide this number by the divisor.
    The whole number result is placed at the top. Any remainders are ignored at this point.
    25 × 1 = 25The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
    43 – 25 = 18Now we take away the bottom number from the top number.
    Bring down the next number of the dividend.
    185 ÷ 25 = 7 remainder 10Divide this number by the divisor.
    The whole number result is placed at the top. Any remainders are ignored at this point.
    25 × 7 = 175The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
    185 – 175 = 10Now we take away the bottom number from the top number.
    There is still 10 left over but no more numbers to bring down.
    With a long division with remainders the answer is expressed as 17 remainder 10 as shown in the diagram


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    رد: Long Division

    مُساهمة من طرف teacher في الثلاثاء 19 أغسطس 2008, 10:20 pm

    [size=18]
    i think that u r afantastic man

    thanks mr meezo


    please i want to know more sites about our books
    of education ministery
    in our maths department

    thank you
    [/size


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    logic_example_kasem
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    رد: Long Division

    مُساهمة من طرف logic_example_kasem في الثلاثاء 19 أغسطس 2008, 11:20 pm

    ربنا يكرمك ويجعله في ميزان حسناتك قول امين


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    ضحكوا عليك فقالوا لك تحديك للواقع خسارة ومستحيل فقل لهم أن الواقع هو الذي يتحداني لأنني أستطيع أن أسحقه إذا أجتهدت وصبرت وأقتنعت بذلك
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    رد: Long Division

    مُساهمة من طرف Asmaa Mahmoud في الخميس 21 أغسطس 2008, 1:49 am

    sorry u write that
    425 ÷ 25
    but must be that
    25 ÷ 425
    but this topic its so great as all your topics
    thank's alot mohamed
    انا بقول معاك يا مصطفي بجد اوي امين يارب محمد يستاهل كل دعوتنا بجد مواضيعه كلها تحفه يارب يجعلها في ميزان حسانته امين يارب العالمين


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    ][/url]




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    رد: Long Division

    مُساهمة من طرف mezooo125 في الجمعة 22 أغسطس 2008, 2:59 am

    آآآآآآآآآآآآآآآآآمين
    ربنا يوفقنا لما يحبه و يرضاه


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      الوقت/التاريخ الآن هو الجمعة 09 ديسمبر 2016, 11:15 pm