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How do I go about dividing decimals?

I have a problem with dividing decimals. I’ve looked in my algebra book but all it tells me to do is estimate so when I estimated, the answer was wrong. The problem was 2730/9.75. Easy problem, yes, but I cannot figure it out. Thanks in advanced for the help and have a good night.

Transform 9.75 into a whole number…. like 975 or 975.00

So essentially what you did was shifted the decimal to two places to the right (9.7500 to 975.00)

Now divide 2730 / 975…. it is = 2.80

Now shift the decimal of the answer by two places right as well… 2.8000 to 280.00

280 is the answer to the original question..

therefore,

the key is to shift the divisor’s decimal points as many places as it takes to make it a whole number (left or right)….. and shift the decimal point of the answer that many places as well (left or right).

This entry was posted on Tuesday, February 16th, 2010 at 9:33 pm and is filed under decimals. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

4 Responses to “How do I go about dividing decimals?”

  1. Davis P Says:
    February 17th, 2010 at 2:38 am

    multiply the numerator and the denominator by a power of 10 to remove the decimals. In this case by 100.
    2730/9.75 = 273000/975 = 280
    References :

  2. Casual user Says:
    February 17th, 2010 at 2:52 am

    I don’t want to be mean but…LOL
    References :

  3. Sid Says:
    February 17th, 2010 at 3:05 am

    Transform 9.75 into a whole number…. like 975 or 975.00

    So essentially what you did was shifted the decimal to two places to the right (9.7500 to 975.00)

    Now divide 2730 / 975…. it is = 2.80

    Now shift the decimal of the answer by two places right as well… 2.8000 to 280.00

    280 is the answer to the original question..

    therefore,

    the key is to shift the divisor’s decimal points as many places as it takes to make it a whole number (left or right)….. and shift the decimal point of the answer that many places as well (left or right).
    References :

  4. NelzBorg Says:
    February 17th, 2010 at 3:33 am

    Convert the decimal to a fraction:
    9.75 = 9 + 3/4 = 39/4

    Now, perform the division:
    2730 / (39/4) = 2730/(39 * 4^-1) = 2730*4 / 39 = 280

    Done.
    References :

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